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212102220000112 = 241319132740444303
BaseRepresentation
bin110000001110011111100101…
…011110101010101101110000
31000210222202220101200012020221
4300032133211132222231300
5210300040321310000422
62031034225324542424
762450610511104211
oct6016374536525560
91023882811605227
10212102220000112
1161645056773192
121b9569b83b1a14
1391471cc3a3020
143a53b33429408
15197c3eb0673c7
hexc0e7e57aab70

212102220000112 has 80 divisors (see below), whose sum is σ = 466203109980160. Its totient is φ = 92671161613056.

The previous prime is 212102220000103. The next prime is 212102220000119. The reversal of 212102220000112 is 211000022201212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102220000119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14977848 + ... + 25466455.

It is an arithmetic number, because the mean of its divisors is an integer number (5827538874752).

Almost surely, 2212102220000112 is an apocalyptic number.

It is an amenable number.

212102220000112 is an abundant number, since it is smaller than the sum of its proper divisors (254100889980048).

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

212102220000112 is a wasteful number, since it uses less digits than its factorization.

212102220000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40445670 (or 40445664 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212102220000112 its reverse (211000022201212), we get a palindrome (423102242201324).

The spelling of 212102220000112 in words is "two hundred twelve trillion, one hundred two billion, two hundred twenty million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1327 1976 2654 3952 5308 10616 17251 21232 25213 34502 50426 69004 100852 138008 201704 276016 327769 403408 655538 1311076 2622152 5244304 40444303 80888606 161777212 323554424 525775939 647108848 768441757 1051551878 1536883514 2103103756 3073767028 4206207512 6147534056 8412415024 9989742841 12295068112 19979485682 39958971364 53669590081 79917942728 107339180162 159835885456 214678360324 429356720648 697704671053 858713441296 1019722211539 1395409342106 2039444423078 2790818684212 4078888846156 5581637368424 8157777692312 11163274736848 13256388750007 16315555384624 26512777500014 53025555000028 106051110000056 212102220000112