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23031013032 = 23321013167081
BaseRepresentation
bin10101011100110000…
…010101111010101000
32012110001220200110200
4111130300111322220
5334131414404112
614325202312200
71443505244406
oct253460257250
965401820420
1023031013032
119849451a75
124569058660
13223062a281
141186a82476
158ebdd8cdc
hex55cc15ea8

23031013032 has 48 divisors (see below), whose sum is σ = 62993260980. Its totient is φ = 7600992000.

The previous prime is 23031012997. The next prime is 23031013037.

23031013032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21185966916 + 1845046116 = 145554^2 + 42954^2 .

It is a super-2 number, since 2×230310130322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23031012996 and 23031013014.

It is not an unprimeable number, because it can be changed into a prime (23031013037) 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 11 ways as a sum of consecutive naturals, for example, 1576269 + ... + 1590812.

Almost surely, 223031013032 is an apocalyptic number.

It is an amenable number.

23031013032 is an abundant number, since it is smaller than the sum of its proper divisors (39962247948).

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

23031013032 is a wasteful number, since it uses less digits than its factorization.

23031013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167194 (or 3167187 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 230310 and 13032, that added together give a palindrome (243342).

The spelling of 23031013032 in words is "twenty-three billion, thirty-one million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 3167081 6334162 9501243 12668324 19002486 25336648 28503729 38004972 57007458 76009944 114014916 228029832 319875181 639750362 959625543 1279500724 1919251086 2559001448 2878876629 3838502172 5757753258 7677004344 11515506516 23031013032