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21213612402201 = 3243612927307009
BaseRepresentation
bin1001101001011001011011…
…10101001110011000011001
32210010000001010022021222200
410310230231311032120121
510240030434233332301
6113041222103440413
74316430043154502
oct464545565163031
983100033267880
1021213612402201
1168397081883aa
12246740ba56109
13bab586abc0ab
14534a5c5a5ba9
1526bc34b40c86
hex134b2dd4e619

21213612402201 has 48 divisors (see below), whose sum is σ = 31879486129920. Its totient is φ = 13582377768960.

The previous prime is 21213612402149. The next prime is 21213612402223. The reversal of 21213612402201 is 10220421631212.

21213612402201 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 612 + 40 + 2 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 21213612402201 - 211 = 21213612400153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21213612402901) 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 47 ways as a sum of consecutive naturals, for example, 68944185 + ... + 69251193.

It is an arithmetic number, because the mean of its divisors is an integer number (664155961040).

Almost surely, 221213612402201 is an apocalyptic number.

It is an amenable number.

21213612402201 is a deficient number, since it is larger than the sum of its proper divisors (10665873727719).

21213612402201 is a wasteful number, since it uses less digits than its factorization.

21213612402201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310046 (or 310043 counting only the distinct ones).

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

The spelling of 21213612402201 in words is "twenty-one trillion, two hundred thirteen billion, six hundred twelve million, four hundred two thousand, two hundred one".

Divisors: 1 3 9 43 61 129 183 387 549 2623 2927 7869 8781 23607 26343 125861 178547 307009 377583 535641 921027 1132749 1606923 2763081 7677521 13201387 18727549 23032563 39604161 56182647 69097689 118812483 168547941 805284607 898615343 2415853821 2695846029 7247561463 8087538087 38640459749 54815535923 115921379247 164446607769 347764137741 493339823307 2357068044689 7071204134067 21213612402201