Search a number
-
+
212100021022122 = 232414712758278263
BaseRepresentation
bin110000001110011101100010…
…011010001110110110101010
31000210222120020010220112112200
4300032131202122032312222
5210300021320340201442
62031033223213121030
762450502150102522
oct6016354232166652
91023876203815480
10212100021022122
1161644128481502
121b9564a3a89176
139146c3b93b90c
143a539a5376682
15197c31ce9d34c
hexc0e76268edaa

212100021022122 has 192 divisors, whose sum is σ = 484702161076224. Its totient is φ = 66956892468480.

The previous prime is 212100021022111. The next prime is 212100021022177. The reversal of 212100021022122 is 221220120001212.

It is a happy number.

212100021022122 is a `hidden beast` number, since 2 + 1 + 210 + 0 + 0 + 210 + 221 + 22 = 666.

212100021022122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121000210221222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212100021022095 and 212100021022104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25668641763 + ... + 25668650025.

It is an arithmetic number, because the mean of its divisors is an integer number (2524490422272).

Almost surely, 2212100021022122 is an apocalyptic number.

212100021022122 is an abundant number, since it is smaller than the sum of its proper divisors (272602140054102).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212100021022122 is a wasteful number, since it uses less digits than its factorization.

212100021022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14313 (or 14310 counting only the distinct ones).

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

Adding to 212100021022122 its reverse (221220120001212), we get a palindrome (433320141023334).

The spelling of 212100021022122 in words is "two hundred twelve trillion, one hundred billion, twenty-one million, twenty-two thousand, one hundred twenty-two".