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23130313232 = 2413293834601
BaseRepresentation
bin10101100010101011…
…001001001000010000
32012200222202122201212
4111202223021020100
5334332330010412
614343110515252
71446122263355
oct254253111020
965628678655
1023130313232
11989a505754
124596365b28
1322480873a0
141195d3062c
159059a1222
hex562ac9210

23130313232 has 40 divisors (see below), whose sum is σ = 49926518040. Its totient is φ = 10307404800.

The previous prime is 23130313187. The next prime is 23130313249. The reversal of 23130313232 is 23231303132.

It can be written as a sum of positive squares in 4 ways, for example, as 215619856 + 22914693376 = 14684^2 + 151376^2 .

It is a super-2 number, since 2×231303132322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23130313198 and 23130313207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1911269 + ... + 1923332.

It is an arithmetic number, because the mean of its divisors is an integer number (1248162951).

Almost surely, 223130313232 is an apocalyptic number.

It is an amenable number.

23130313232 is an abundant number, since it is smaller than the sum of its proper divisors (26796204808).

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

23130313232 is a wasteful number, since it uses less digits than its factorization.

23130313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834651 (or 3834645 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 23130313232 its reverse (23231303132), we get a palindrome (46361616364).

The spelling of 23130313232 in words is "twenty-three billion, one hundred thirty million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 3834601 7669202 15338404 30676808 49849813 61353616 99699626 111203429 199399252 222406858 398798504 444813716 797597008 889627432 1445644577 1779254864 2891289154 5782578308 11565156616 23130313232