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23132313100 = 225213171046711
BaseRepresentation
bin10101100010110010…
…110001011000001100
32012201010112021001001
4111202302301120030
5334333333004400
614343221430044
71446145263031
oct254262613014
965633467031
1023132313100
1198a0651236
124596b6b324
132248607740
1411962d1388
15905c48a6a
hex562cb160c

23132313100 has 72 divisors (see below), whose sum is σ = 57238399008. Its totient is φ = 8038732800.

The previous prime is 23132313079. The next prime is 23132313107. The reversal of 23132313100 is 131323132.

It is a super-2 number, since 2×231323131002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23132313107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501256 + ... + 545455.

It is an arithmetic number, because the mean of its divisors is an integer number (794977764).

Almost surely, 223132313100 is an apocalyptic number.

23132313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23132313100 is an abundant number, since it is smaller than the sum of its proper divisors (34106085908).

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

23132313100 is a wasteful number, since it uses less digits than its factorization.

23132313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046755 (or 1046748 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 23132313100 its reverse (131323132), we get a palindrome (23263636232).

The spelling of 23132313100 in words is "twenty-three billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 1046711 2093422 4186844 5233555 10467110 13607243 17794087 20934220 26167775 27214486 35588174 52335550 54428972 68036215 71176348 88970435 104671100 136072430 177940870 231323131 272144860 340181075 355881740 444852175 462646262 680362150 889704350 925292524 1156615655 1360724300 1779408700 2313231310 4626462620 5783078275 11566156550 23132313100