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201102022111221 = 327211109737790143
BaseRepresentation
bin101101101110011010110110…
…100101110110111111110101
3222101001011110200122201102100
4231232122312211312333311
5202324323420130024341
61551412554335532313
760234066402565200
oct5556326645667765
9871034420581370
10201102022111221
1159093985843440
121a67ab0438a099
138829abac8386a
1437935658a0937
15183b1d231e3b6
hexb6e6b6976ff5

201102022111221 has 72 divisors (see below), whose sum is σ = 368960896571904. Its totient is φ = 104373348992640.

The previous prime is 201102022111213. The next prime is 201102022111229. The reversal of 201102022111221 is 122111220201102.

201102022111221 is a `hidden beast` number, since 20 + 1 + 10 + 202 + 211 + 1 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (201102022111213) and next prime (201102022111229).

It is not a de Polignac number, because 201102022111221 - 23 = 201102022111213 is a prime.

It is a super-2 number, since 2×2011020221112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201102022111194 and 201102022111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102022111229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13573525 + ... + 24216618.

It is an arithmetic number, because the mean of its divisors is an integer number (5124456896832).

Almost surely, 2201102022111221 is an apocalyptic number.

201102022111221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201102022111221 is a deficient number, since it is larger than the sum of its proper divisors (167858874460683).

201102022111221 is a wasteful number, since it uses less digits than its factorization.

201102022111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37791271 (or 37791261 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201102022111221 its reverse (122111220201102), we get a palindrome (323213242312323).

The spelling of 201102022111221 in words is "two hundred one trillion, one hundred two billion, twenty-two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1097 1617 3291 4851 7679 9873 12067 23037 36201 53753 69111 84469 108603 161259 253407 483777 591283 760221 1773849 5321547 37790143 113370429 264531001 340111287 415691573 793593003 1247074719 1851717007 2380779009 2909841011 3741224157 5555151021 8729523033 16665453063 20368887077 26188569099 41455786871 61106661231 124367360613 183319983693 290190508097 373102081839 456013655581 870571524291 1368040966743 2031333556679 2611714572873 3192095589067 4104122900229 6094000670037 9576286767201 18282002010111 22344669123469 28728860301603 67034007370407 201102022111221