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1101121320 = 2335132330689
BaseRepresentation
bin100000110100001…
…1100011100101000
32211201221202111010
41001220130130220
54223341340240
6301132503520
736200243145
oct10150343450
92751852433
101101121320
11515610822
1226891aba0
131471841a0
14a63513cc
1566a08280
hex41a1c728

1101121320 has 128 divisors (see below), whose sum is σ = 3712262400. Its totient is φ = 259252224.

The previous prime is 1101121279. The next prime is 1101121337. The reversal of 1101121320 is 231211011.

It is a super-2 number, since 2×11011213202 = 2424936322717084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1101121296 and 1101121305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20536 + ... + 51224.

It is an arithmetic number, because the mean of its divisors is an integer number (29002050).

Almost surely, 21101121320 is an apocalyptic number.

1101121320 is a gapful number since it is divisible by the number (10) 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 1101121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856131200).

1101121320 is an abundant number, since it is smaller than the sum of its proper divisors (2611141080).

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

1101121320 is a wasteful number, since it uses less digits than its factorization.

1101121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30739 (or 30735 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1101121320 is about 33183.1481327496. The cubic root of 1101121320 is about 1032.6307588638.

Adding to 1101121320 its reverse (231211011), we get a palindrome (1332332331).

The spelling of 1101121320 in words is "one billion, one hundred one million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 30689 35880 61378 92067 122756 153445 184134 245512 306890 368268 398957 460335 613780 705847 736536 797914 920670 1196871 1227560 1411694 1595828 1841340 1994785 2117541 2393742 2823388 3191656 3529235 3682680 3989570 4235082 4787484 5646776 5984355 7058470 7979140 8470164 9176011 9574968 10587705 11968710 14116940 15958280 16940328 18352022 21175410 23937420 27528033 28233880 36704044 42350820 45880055 47874840 55056066 73408088 84701640 91760110 110112132 137640165 183520220 220224264 275280330 367040440 550560660 1101121320