[go: up one dir, main page]

Search a number
-
+
1312222300 = 2252101173751
BaseRepresentation
bin100111000110110…
…1110110001011100
310101110011210120221
41032031232301130
510141412103200
6334113251124
744342463664
oct11615566134
93343153527
101312222300
11613796044
12307563aa4
1317bb271cc
14c63c31a4
157a30691a
hex4e36ec5c

1312222300 has 72 divisors (see below), whose sum is σ = 2896189632. Its totient is φ = 516000000.

The previous prime is 1312222297. The next prime is 1312222309. The reversal of 1312222300 is 32222131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312222309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1746925 + ... + 1747675.

It is an arithmetic number, because the mean of its divisors is an integer number (40224856).

Almost surely, 21312222300 is an apocalyptic number.

1312222300 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 1312222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448094816).

1312222300 is an abundant number, since it is smaller than the sum of its proper divisors (1583967332).

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

1312222300 is a wasteful number, since it uses less digits than its factorization.

1312222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1312222300 is about 36224.6090386080. The cubic root of 1312222300 is about 1094.8025609561.

Adding to 1312222300 its reverse (32222131), we get a palindrome (1344444431).

The spelling of 1312222300 in words is "one billion, three hundred twelve million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 173 202 346 404 505 692 751 865 1010 1502 1730 2020 2525 3004 3460 3755 4325 5050 7510 8650 10100 15020 17300 17473 18775 34946 37550 69892 75100 75851 87365 129923 151702 174730 259846 303404 349460 379255 436825 519692 649615 758510 873650 1299230 1517020 1747300 1896275 2598460 3248075 3792550 6496150 7585100 12992300 13122223 26244446 52488892 65611115 131222230 262444460 328055575 656111150 1312222300