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22213041131421 = 327273992969493
BaseRepresentation
bin1010000110011111000000…
…11011010000111110011101
32220122112202000210011021200
411003033200123100332131
510402414302012201141
6115124310305550113
74451560603201200
oct503174033207635
986575660704250
1022213041131421
117094552698088
1225a9052645339
13c518b090a78a
1456b18cbc3937
15287c2b161ab6
hex1433e06d0f9d

22213041131421 has 72 divisors (see below), whose sum is σ = 37839595580280. Its totient is φ = 12517846354944.

The previous prime is 22213041131419. The next prime is 22213041131441. The reversal of 22213041131421 is 12413114031222.

22213041131421 is a `hidden beast` number, since 2 + 2 + 21 + 304 + 1 + 1 + 314 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6971786091396 + 15241255040025 = 2640414^2 + 3904005^2 .

It is not a de Polignac number, because 22213041131421 - 21 = 22213041131419 is a prime.

It is a super-2 number, since 2×222130411314212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213041131401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 319609551 + ... + 319679043.

It is an arithmetic number, because the mean of its divisors is an integer number (525549938615).

Almost surely, 222213041131421 is an apocalyptic number.

22213041131421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22213041131421 is a deficient number, since it is larger than the sum of its proper divisors (15626554448859).

22213041131421 is a wasteful number, since it uses less digits than its factorization.

22213041131421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79515 (or 79505 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 22213041131421 its reverse (12413114031222), we get a palindrome (34626155162643).

The spelling of 22213041131421 in words is "twenty-two trillion, two hundred thirteen billion, forty-one million, one hundred thirty-one thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 1533 3577 4599 9929 10731 29787 32193 69493 69503 89361 208479 208509 486451 486521 625437 625527 724817 1459353 1459563 2174451 3405157 4378059 4378689 5072989 5073719 6523353 10215471 15218967 15221157 30646413 35510923 35516033 45656901 45663471 106532769 106548099 248576461 319598307 319644297 689995997 745729383 2069987991 2237188149 4829971979 6209963973 14489915937 33809803853 43469747811 50369707781 101429411559 151109123343 304288234677 352587954467 453327370029 1057763863401 2468115681269 3173291590203 7404347043807 22213041131421