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21300213132 = 223211293750129
BaseRepresentation
bin10011110101100101…
…110111010110001100
32000222110002221100200
4103311211313112030
5322110323310012
613441333253500
71352560552512
oct236545672614
960873087320
1021300213132
119040462430
124165494290
132015b88913
141060c604b2
15849e9e3dc
hex4f597758c

21300213132 has 144 divisors (see below), whose sum is σ = 62405834400. Its totient is φ = 6063482880.

The previous prime is 21300213127. The next prime is 21300213133. The reversal of 21300213132 is 23131200312.

21300213132 is a `hidden beast` number, since 21 + 300 + 213 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21300213133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399844 + ... + 449972.

It is an arithmetic number, because the mean of its divisors is an integer number (433373850).

Almost surely, 221300213132 is an apocalyptic number.

21300213132 is a gapful number since it is divisible by the number (22) 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 21300213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31202917200).

21300213132 is an abundant number, since it is smaller than the sum of its proper divisors (41105621268).

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

21300213132 is a wasteful number, since it uses less digits than its factorization.

21300213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50216 (or 50211 counting only the distinct ones).

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

Adding to 21300213132 its reverse (23131200312), we get a palindrome (44431413444).

It can be divided in two parts, 21300 and 213132, that added together give a palindrome (234432).

The spelling of 21300213132 in words is "twenty-one billion, three hundred million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 37 44 58 66 74 87 99 111 116 132 148 174 198 222 261 319 333 348 396 407 444 522 638 666 814 957 1044 1073 1221 1276 1332 1628 1914 2146 2442 2871 3219 3663 3828 4292 4884 5742 6438 7326 9657 11484 11803 12876 14652 19314 23606 35409 38628 47212 50129 70818 100258 106227 141636 150387 200516 212454 300774 424908 451161 551419 601548 902322 1102838 1453741 1654257 1804644 1854773 2205676 2907482 3308514 3709546 4361223 4962771 5564319 5814964 6617028 7419092 8722446 9925542 11128638 13083669 15991151 16692957 17444892 19851084 20402503 22257276 26167338 31982302 33385914 40805006 47973453 52334676 53788417 61207509 63964604 66771828 81610012 95946906 107576834 122415018 143920359 161365251 183622527 191893812 215153668 244830036 287840718 322730502 367245054 484095753 575681436 591672587 645461004 734490108 968191506 1183345174 1775017761 1936383012 2366690348 3550035522 5325053283 7100071044 10650106566 21300213132