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21312132000 = 253531776011
BaseRepresentation
bin10011110110010011…
…010101001110100000
32001000021112110222020
4103312103111032200
5322121401211000
613442440541440
71353064063425
oct236623251640
961007473866
1021312132000
119047163235
124169481880
13201849c9c3
141062683d4c
1584b055ba0
hex4f64d53a0

21312132000 has 96 divisors (see below), whose sum is σ = 69818583744. Its totient is φ = 5683232000.

The previous prime is 21312131969. The next prime is 21312132029. The reversal of 21312132000 is 23121312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 876006 + ... + 900005.

It is an arithmetic number, because the mean of its divisors is an integer number (727276914).

Almost surely, 221312132000 is an apocalyptic number.

21312132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312132000 is an abundant number, since it is smaller than the sum of its proper divisors (48506451744).

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

21312132000 is a wasteful number, since it uses less digits than its factorization.

21312132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776039 (or 1776021 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21312132000 its reverse (23121312), we get a palindrome (21335253312).

The spelling of 21312132000 in words is "twenty-one billion, three hundred twelve million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1776011 3552022 5328033 7104044 8880055 10656066 14208088 17760110 21312132 26640165 28416176 35520220 42624264 44400275 53280330 56832352 71040440 85248528 88800550 106560660 133200825 142080880 170497056 177601100 213121320 222001375 266401650 284161760 355202200 426242640 444002750 532803300 666004125 710404400 852485280 888005500 1065606600 1332008250 1420808800 1776011000 2131213200 2664016500 3552022000 4262426400 5328033000 7104044000 10656066000 21312132000