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10233131313 = 329731978179
BaseRepresentation
bin10011000011111000…
…10011000100110001
3222102011102221011110
421201330103010301
5131424140200223
64411231303533
7511405116036
oct114174230461
928364387143
1010233131313
114381377019
121b9707aba9
13c710a4ab2
146d10cb38d
153ed5add93
hex261f13131

10233131313 has 32 divisors (see below), whose sum is σ = 14382403200. Its totient is φ = 6462844416.

The previous prime is 10233131243. The next prime is 10233131333. The reversal of 10233131313 is 31313133201.

It is not a de Polignac number, because 10233131313 - 29 = 10233130801 is a prime.

It is a super-2 number, since 2×102331313132 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10233131313.

It is not an unprimeable number, because it can be changed into a prime (10233131333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247058 + ... + 1255236.

It is an arithmetic number, because the mean of its divisors is an integer number (449450100).

Almost surely, 210233131313 is an apocalyptic number.

It is an amenable number.

10233131313 is a deficient number, since it is larger than the sum of its proper divisors (4149271887).

10233131313 is a wasteful number, since it uses less digits than its factorization.

10233131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10233131313 its reverse (31313133201), we get a palindrome (41546264514).

The spelling of 10233131313 in words is "ten billion, two hundred thirty-three million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 29 73 87 197 219 591 2117 5713 6351 8179 14381 17139 24537 43143 237191 417049 597067 711573 1251147 1611263 1791201 4833789 17314943 46726627 51944829 117622199 140179881 352866597 3411043771 10233131313