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21093961214337 = 31116692693142217
BaseRepresentation
bin1001100101111010100100…
…00100001010100110000001
32202200120012102111011210020
410302331102010022212001
510231100413032324322
6112510233151324053
74304663010641214
oct462752204124601
982616172434706
1021093961214337
1167a2998206a80
122448198b20629
13ba01c8c6334b
1452cd4b6db77b
15268a805dc05c
hex132f5210a981

21093961214337 has 32 divisors (see below), whose sum is σ = 30712125006720. Its totient is φ = 12771724945920.

The previous prime is 21093961214323. The next prime is 21093961214371. The reversal of 21093961214337 is 73341216939012.

It is a happy number.

It is not a de Polignac number, because 21093961214337 - 234 = 21076781345153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21093961214337.

It is not an unprimeable number, because it can be changed into a prime (21093961214387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148251253 + ... + 148393469.

It is an arithmetic number, because the mean of its divisors is an integer number (959753906460).

Almost surely, 221093961214337 is an apocalyptic number.

It is an amenable number.

21093961214337 is a deficient number, since it is larger than the sum of its proper divisors (9618163792383).

21093961214337 is a wasteful number, since it uses less digits than its factorization.

21093961214337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146593.

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 21093961214337 in words is "twenty-one trillion, ninety-three billion, nine hundred sixty-one million, two hundred fourteen thousand, three hundred thirty-seven".

Divisors: 1 3 11 33 1669 2693 5007 8079 18359 29623 55077 88869 142217 426651 1564387 4494617 4693161 13483851 49440787 148322361 237360173 382990381 712080519 1148971143 2610961903 4212894191 7832885709 12638682573 639210945889 1917632837667 7031320404779 21093961214337