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212100100211109 = 311109153147598093
BaseRepresentation
bin110000001110011101100111…
…001000010100000110100101
31000210222120102122220202102010
4300032131213020110012211
5210300022001123223414
62031033235122304433
762450504131150305
oct6016354710240645
91023876378822363
10212100100211109
1161644169149350
121b9565064b8119
139146c52176ac6
143a539b1aab605
15197c324de1959
hexc0e7672141a5

212100100211109 has 64 divisors (see below), whose sum is σ = 311646921062400. Its totient is φ = 127240537132800.

The previous prime is 212100100211099. The next prime is 212100100211239. The reversal of 212100100211109 is 901112001001212.

It is not a de Polignac number, because 212100100211109 - 213 = 212100100202917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100100215109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26207842267 + ... + 26207850359.

It is an arithmetic number, because the mean of its divisors is an integer number (4869483141600).

Almost surely, 2212100100211109 is an apocalyptic number.

It is an amenable number.

212100100211109 is a deficient number, since it is larger than the sum of its proper divisors (99546820851291).

212100100211109 is a wasteful number, since it uses less digits than its factorization.

212100100211109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14506.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 212100100211109 in words is "two hundred twelve trillion, one hundred billion, one hundred million, two hundred eleven thousand, one hundred nine".

Divisors: 1 3 11 33 109 327 1199 1531 3597 4593 4759 8093 14277 16841 24279 50523 52349 89023 157047 166879 267069 500637 518731 882137 1556193 1835669 2646411 5507007 5706041 7286029 9703507 12390383 17118123 21858087 29110521 37171149 38514587 80146319 115543761 136294213 240438957 408882639 423660457 794177161 1270981371 1350551747 2382531483 4051655241 4198089983 8735948771 12594269949 14856069217 26207846313 44568207651 46178989813 58965832697 138536969439 176897498091 648624159667 1945872479001 6427275763973 19281827291919 70700033403703 212100100211109