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21113132000 = 255317533011
BaseRepresentation
bin10011101010011100…
…001101001111100000
32000111102002020021212
4103222130031033200
5321214430211000
613411011405252
71345126442462
oct235234151740
960442066255
1021113132000
118a548a3624
1241128b3828
131cb61a591c
141044082132
15838847c35
hex4ea70d3e0

21113132000 has 96 divisors (see below), whose sum is σ = 51921795744. Its totient is φ = 8437632000.

The previous prime is 21113131973. The next prime is 21113132009. The reversal of 21113132000 is 23131112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113132009) 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 15 ways as a sum of consecutive naturals, for example, 7010495 + ... + 7013505.

It is an arithmetic number, because the mean of its divisors is an integer number (540852039).

Almost surely, 221113132000 is an apocalyptic number.

21113132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21113132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25960897872).

21113132000 is an abundant number, since it is smaller than the sum of its proper divisors (30808663744).

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

21113132000 is a wasteful number, since it uses less digits than its factorization.

21113132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21113132000 its reverse (23131112), we get a palindrome (21136263112).

The spelling of 21113132000 in words is "twenty-one billion, one hundred thirteen million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1753 2000 3011 3506 4000 6022 7012 8765 12044 14024 15055 17530 24088 28048 30110 35060 43825 48176 56096 60220 70120 75275 87650 96352 120440 140240 150550 175300 219125 240880 280480 301100 350600 376375 438250 481760 602200 701200 752750 876500 1204400 1402400 1505500 1753000 2408800 3011000 3506000 5278283 6022000 7012000 10556566 12044000 21113132 26391415 42226264 52782830 84452528 105565660 131957075 168905056 211131320 263914150 422262640 527828300 659785375 844525280 1055656600 1319570750 2111313200 2639141500 4222626400 5278283000 10556566000 21113132000