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212202111100122 = 232111382440602603
BaseRepresentation
bin110000001111111100100111…
…011100111110010011011010
31000211100022201222101211210200
4300033330213130332103122
5210303204410420200442
62031152145401523030
762461045063332063
oct6017744734762332
91024308658354720
10212202111100122
11616834566890a0
121b9722357a3476
13915375b473cb0
143a588cbc1d56a
15197ece594034c
hexc0ff2773e4da

212202111100122 has 48 divisors (see below), whose sum is σ = 540150828261408. Its totient is φ = 59357233873440.

The previous prime is 212202111100121. The next prime is 212202111100159. The reversal of 212202111100122 is 221001111202212.

212202111100122 is a `hidden beast` number, since 2 + 1 + 220 + 211 + 110 + 0 + 122 = 666.

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 = 212202111100095 and 212202111100104.

It is not an unprimeable number, because it can be changed into a prime (212202111100121) 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, 41220298728 + ... + 41220303875.

It is an arithmetic number, because the mean of its divisors is an integer number (11253142255446).

Almost surely, 2212202111100122 is an apocalyptic number.

212202111100122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212202111100122 is an abundant number, since it is smaller than the sum of its proper divisors (327948717161286).

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

212202111100122 is a wasteful number, since it uses less digits than its factorization.

212202111100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82440602635 (or 82440602632 counting only the distinct ones).

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

Adding to 212202111100122 its reverse (221001111202212), we get a palindrome (433203222302334).

The spelling of 212202111100122 in words is "two hundred twelve trillion, two hundred two billion, one hundred eleven million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 82440602603 164881205206 247321807809 494643615618 741965423427 906846628633 1071727833839 1483930846854 1813693257266 2143455667678 2720539885899 3215183501517 5441079771798 6430367003034 8161619657697 9645550504551 11789006172229 16323239315394 19291101009102 23578012344458 35367018516687 70734037033374 106101055550061 212202111100122