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1310233304032 = 251721111414773
BaseRepresentation
bin10011000100001111111…
…111011001101111100000
311122020221102010011022121
4103010033333121233200
5132431324211212112
62441525102514024
7163442542220122
oct23041777315740
94566842104277
101310233304032
114657375a6a54
12191b22595914
139672922ca23
14475b66bd212
152413751a407
hex1310ffd9be0

1310233304032 has 48 divisors (see below), whose sum is σ = 2744202987792. Its totient is φ = 613658142720.

The previous prime is 1310233304021. The next prime is 1310233304033. The reversal of 1310233304032 is 2304033320131.

It is a super-2 number, since 2×13102333040322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310233303988 and 1310233304006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310233304033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5592603 + ... + 5822170.

It is an arithmetic number, because the mean of its divisors is an integer number (57170895579).

Almost surely, 21310233304032 is an apocalyptic number.

It is an amenable number.

1310233304032 is an abundant number, since it is smaller than the sum of its proper divisors (1433969683760).

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

1310233304032 is a wasteful number, since it uses less digits than its factorization.

1310233304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11415011 (or 11415003 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 1310233304032 its reverse (2304033320131), we get a palindrome (3614266624163).

The spelling of 1310233304032 in words is "one trillion, three hundred ten billion, two hundred thirty-three million, three hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 211 272 422 544 844 1688 3376 3587 6752 7174 14348 28696 57392 114784 11414773 22829546 45659092 91318184 182636368 194051141 365272736 388102282 776204564 1552409128 2408517103 3104818256 4817034206 6209636512 9634068412 19268136824 38536273648 40944790751 77072547296 81889581502 163779163004 327558326008 655116652016 1310233304032