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1321102368 = 253217833251
BaseRepresentation
bin100111010111110…
…0110110000100000
310102001212221202100
41032233212300200
510201200233433
6335031450400
744511120255
oct11657466040
93361787670
101321102368
11618800843
1230a526a00
131809160a1
14c765542c
157aeacb13
hex4ebe6c20

1321102368 has 144 divisors (see below), whose sum is σ = 4027042656. Its totient is φ = 409344000.

The previous prime is 1321102361. The next prime is 1321102379. The reversal of 1321102368 is 8632011231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13211023682 = 3490622933470414848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1321102361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404743 + ... + 407993.

It is an arithmetic number, because the mean of its divisors is an integer number (27965574).

Almost surely, 21321102368 is an apocalyptic number.

1321102368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321102368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013521328).

1321102368 is an abundant number, since it is smaller than the sum of its proper divisors (2705940288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1321102368 is a wasteful number, since it uses less digits than its factorization.

1321102368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1321102368 is about 36346.9719233941. The cubic root of 1321102368 is about 1097.2665929549.

Adding to 1321102368 its reverse (8632011231), we get a palindrome (9953113599).

It can be divided in two parts, 132 and 1102368, that added together give a square (1102500 = 10502).

The spelling of 1321102368 in words is "one billion, three hundred twenty-one million, one hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 83 96 102 136 144 153 166 204 249 272 288 306 332 408 498 544 612 664 747 816 996 1224 1328 1411 1494 1632 1992 2448 2656 2822 2988 3251 3984 4233 4896 5644 5976 6502 7968 8466 9753 11288 11952 12699 13004 16932 19506 22576 23904 25398 26008 29259 33864 39012 45152 50796 52016 55267 58518 67728 78024 101592 104032 110534 117036 135456 156048 165801 203184 221068 234072 269833 312096 331602 406368 442136 468144 497403 539666 663204 809499 884272 936288 994806 1079332 1326408 1618998 1768544 1989612 2158664 2428497 2652816 3237996 3979224 4317328 4587161 4856994 5305632 6475992 7958448 8634656 9174322 9713988 12951984 13761483 15916896 18348644 19427976 25903968 27522966 36697288 38855952 41284449 55045932 73394576 77711904 82568898 110091864 146789152 165137796 220183728 330275592 440367456 660551184 1321102368