Search a number
-
+
212012102201112 = 233211258326155037
BaseRepresentation
bin110000001101001011101010…
…000010100010111100011000
31000210200011021221010200021200
4300031023222002202330120
5210242101241130413422
62030525003135434200
762441240351334303
oct6015135202427430
91023604257120250
10212012102201112
116160a911603a54
121b941448085960
13913b86a0478c5
143a4d624a25b3a
151979dc46bc2ac
hexc0d2ea0a2f18

212012102201112 has 48 divisors (see below), whose sum is σ = 574204565647440. Its totient is φ = 70670070310848.

The previous prime is 212012102201099. The next prime is 212012102201113. The reversal of 212012102201112 is 211102201210212.

212012102201112 is a `hidden beast` number, since 2 + 120 + 1 + 210 + 220 + 1 + 112 = 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 (212012102201113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4971543 + ... + 21183494.

It is an arithmetic number, because the mean of its divisors is an integer number (11962595117655).

Almost surely, 2212012102201112 is an apocalyptic number.

It is an amenable number.

212012102201112 is an abundant number, since it is smaller than the sum of its proper divisors (362192463446328).

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

212012102201112 is a wasteful number, since it uses less digits than its factorization.

212012102201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26267632 (or 26267625 counting only the distinct ones).

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

Adding to 212012102201112 its reverse (211102201210212), we get a palindrome (423114303411324).

The spelling of 212012102201112 in words is "two hundred twelve trillion, twelve billion, one hundred two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 112583 225166 337749 450332 675498 900664 1013247 1350996 2026494 2701992 4052988 8105976 26155037 52310074 78465111 104620148 156930222 209240296 235395333 313860444 470790666 627720888 941581332 1883162664 2944612530571 5889225061142 8833837591713 11778450122284 17667675183426 23556900244568 26501512775139 35335350366852 53003025550278 70670700733704 106006051100556 212012102201112