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212100022012221 = 3374329718784313
BaseRepresentation
bin110000001110011101100010…
…011110000000100100111101
31000210222120020012202211201000
4300032131202132000210331
5210300021321113342341
62031033223250240513
762450502161365230
oct6016354236004475
91023876205684630
10212100022012221
1161644128a98372
121b9564a4286139
139146c3bbc7485
143a539a5553417
15197c31d0e68b6
hexc0e76278093d

212100022012221 has 64 divisors (see below), whose sum is σ = 367586295408640. Its totient is φ = 118341548519040.

The previous prime is 212100022012199. The next prime is 212100022012303. The reversal of 212100022012221 is 122210220001212.

It is a happy number.

212100022012221 is a `hidden beast` number, since 2 + 1 + 210 + 0 + 0 + 220 + 12 + 221 = 666.

It is not a de Polignac number, because 212100022012221 - 25 = 212100022012189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212100022012194 and 212100022012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100022012121) 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, 19753161 + ... + 28537473.

It is an arithmetic number, because the mean of its divisors is an integer number (5743535865760).

Almost surely, 2212100022012221 is an apocalyptic number.

212100022012221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212100022012221 is a deficient number, since it is larger than the sum of its proper divisors (155486273396419).

212100022012221 is a wasteful number, since it uses less digits than its factorization.

212100022012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8787343 (or 8787337 counting only the distinct ones).

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

Adding to 212100022012221 its reverse (122210220001212), we get a palindrome (334310242013433).

The spelling of 212100022012221 in words is "two hundred twelve trillion, one hundred billion, twenty-two million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 2709 2971 8127 8913 20797 26739 62391 80217 127753 187173 383259 561519 894271 1149777 2682813 3449331 8048439 8784313 24145317 26352939 61490191 79058817 184470573 237176451 377725459 553411719 1133176377 1660235157 2644078213 3399529131 7932234639 10198587393 23796703917 26098193923 71390111751 78294581769 182687357461 234883745307 548062072383 704651235921 1122222338689 1644186217149 3366667016067 4932558651447 7855556370823 10100001048201 23566669112469 30300003144603 70700007337407 212100022012221