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22212102012201 = 32101149163998361
BaseRepresentation
bin1010000110011101010000…
…11100110011110100101001
32220122110022120122221220100
411003032220130303310221
510402410341103342301
6115124033201220013
74451525410623243
oct503165034636451
986573276587810
1022212102012201
1170941105769a2
1225a8a30031609
13c5179119842a
1456b1001a3093
15287bc39a9286
hex1433a8733d29

22212102012201 has 24 divisors (see below), whose sum is σ = 32619274201800. Its totient is φ = 14563054368000.

The previous prime is 22212102012167. The next prime is 22212102012203. The reversal of 22212102012201 is 10221020121222.

It is a happy number.

22212102012201 is a `hidden beast` number, since 2 + 221 + 21 + 0 + 201 + 220 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3156467456025 + 19055634556176 = 1776645^2 + 4365276^2 .

It is not a de Polignac number, because 22212102012201 - 27 = 22212102012073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22212102012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81863740 + ... + 82134621.

It is an arithmetic number, because the mean of its divisors is an integer number (1359136425075).

Almost surely, 222212102012201 is an apocalyptic number.

It is an amenable number.

22212102012201 is a deficient number, since it is larger than the sum of its proper divisors (10407172189599).

22212102012201 is a wasteful number, since it uses less digits than its factorization.

22212102012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163998617 (or 163998614 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22212102012201 its reverse (10221020121222), we get a palindrome (32433122133423).

The spelling of 22212102012201 in words is "twenty-two trillion, two hundred twelve billion, one hundred two million, twelve thousand, two hundred one".

Divisors: 1 3 9 101 149 303 447 909 1341 15049 45147 135441 163998361 491995083 1475985249 16563834461 24435755789 49691503383 73307267367 149074510149 219921802101 2468011334689 7404034004067 22212102012201