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23131132000 = 255319304357
BaseRepresentation
bin10101100010101110…
…010001000001100000
32012201001022020212121
4111202232101001200
5334333032211000
614343140234024
71446132243424
oct254256210140
965631266777
1023131132000
11989aa14919
12459669b914
1322482b2c72
1411960a4b84
15905ab3b1a
hex562b91060

23131132000 has 96 divisors (see below), whose sum is σ = 59824608480. Its totient is φ = 8765452800.

The previous prime is 23131131997. The next prime is 23131132001. The reversal of 23131132000 is 23113132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131132001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76179 + ... + 228178.

It is an arithmetic number, because the mean of its divisors is an integer number (623173005).

Almost surely, 223131132000 is an apocalyptic number.

23131132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23131132000 is an abundant number, since it is smaller than the sum of its proper divisors (36693476480).

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

23131132000 is a wasteful number, since it uses less digits than its factorization.

23131132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304401 (or 304383 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23131132000 its reverse (23113132), we get a palindrome (23154245132).

The spelling of 23131132000 in words is "twenty-three billion, one hundred thirty-one million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 38000 76000 304357 608714 1217428 1521785 2434856 3043570 4869712 5782783 6087140 7608925 9739424 11565566 12174280 15217850 23131132 24348560 28913915 30435700 38044625 46262264 48697120 57827830 60871400 76089250 92524528 115655660 121742800 144569575 152178500 185049056 231311320 243485600 289139150 304357000 462622640 578278300 608714000 722847875 925245280 1156556600 1217428000 1445695750 2313113200 2891391500 4626226400 5782783000 11565566000 23131132000