Search a number
-
+
212201011212102 = 232114794542749253
BaseRepresentation
bin110000001111111011100101…
…111001001110111101000110
31000211100012220022202202002100
4300033323211321032331012
5210303200132332241402
62031151444311252530
762461005606413343
oct6017734571167506
91024305808682070
10212201011212102
1161682a4183aa30
121b971b8937a146
139153614632293
143a58825b0d7ca
15197ec7e0cc71c
hexc0fee5e4ef46

212201011212102 has 96 divisors (see below), whose sum is σ = 502634406343680. Its totient is φ = 64166376375360.

The previous prime is 212201011212089. The next prime is 212201011212107. The reversal of 212201011212102 is 201212110102212.

212201011212102 is a `hidden beast` number, since 212 + 20 + 101 + 121 + 210 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201011212107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4308362908 + ... + 4308412160.

It is an arithmetic number, because the mean of its divisors is an integer number (5235775066080).

Almost surely, 2212201011212102 is an apocalyptic number.

212201011212102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212201011212102 is an abundant number, since it is smaller than the sum of its proper divisors (290433395131578).

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

212201011212102 is a wasteful number, since it uses less digits than its factorization.

212201011212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95178 (or 95175 counting only the distinct ones).

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

Adding to 212201011212102 its reverse (201212110102212), we get a palindrome (413413121314314).

The spelling of 212201011212102 in words is "two hundred twelve trillion, two hundred one billion, eleven million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 479 958 1437 2874 4311 5269 8622 10538 15807 31614 45427 47421 49253 90854 94842 98506 136281 147759 272562 295518 408843 443277 499697 541783 817686 886554 999394 1083566 1499091 1625349 2998182 3250698 4497273 4876047 8994546 9752094 21759533 23592187 43519066 47184374 65278599 70776561 130557198 141553122 195835797 212329683 239354863 259514057 391671594 424659366 478709726 519028114 718064589 778542171 1436129178 1557084342 2154193767 2237416031 2335626513 4308387534 4474832062 4671253026 6712248093 13424496186 20136744279 24611576341 40273488558 49223152682 73834729023 147669458046 221504187069 443008374138 1071722278849 2143444557698 3215166836547 6430333673094 9645500509641 11788945067339 19291001019282 23577890134678 35366835202017 70733670404034 106100505606051 212201011212102