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21312132300 = 223252223106189
BaseRepresentation
bin10011110110010011…
…010101010011001100
32001000021112111101100
4103312103111103030
5322121401213200
613442440543100
71353064064334
oct236623252314
961007474340
1021312132300
119047163488
124169481a90
13201849cb94
1410626840c4
1584b055d00
hex4f64d54cc

21312132300 has 108 divisors (see below), whose sum is σ = 67101885760. Its totient is φ = 5657696640.

The previous prime is 21312132293. The next prime is 21312132313. The reversal of 21312132300 is 323121312.

21312132300 is a `hidden beast` number, since 21 + 312 + 1 + 32 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147606 + ... + 253794.

Almost surely, 221312132300 is an apocalyptic number.

21312132300 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 21312132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33550942880).

21312132300 is an abundant number, since it is smaller than the sum of its proper divisors (45789753460).

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

21312132300 is a wasteful number, since it uses less digits than its factorization.

21312132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106432 (or 106422 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21312132300 its reverse (323121312), we get a palindrome (21635253612).

The spelling of 21312132300 in words is "twenty-one billion, three hundred twelve million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 223 225 300 446 450 669 892 900 1115 1338 2007 2230 2676 3345 4014 4460 5575 6690 8028 10035 11150 13380 16725 20070 22300 33450 40140 50175 66900 100350 106189 200700 212378 318567 424756 530945 637134 955701 1061890 1274268 1592835 1911402 2123780 2654725 3185670 3822804 4778505 5309450 6371340 7964175 9557010 10618900 15928350 19114020 23680147 23892525 31856700 47360294 47785050 71040441 94720588 95570100 118400735 142080882 213121323 236801470 284161764 355202205 426242646 473602940 592003675 710404410 852485292 1065606615 1184007350 1420808820 1776011025 2131213230 2368014700 3552022050 4262426460 5328033075 7104044100 10656066150 21312132300