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213800156112 = 24361409178531
BaseRepresentation
bin1100011100011101111…
…0110111101111010000
3202102212002201020210110
43013013132313233100
512000330314443422
6242115103201320
721306111225204
oct3070736675720
9672762636713
10213800156112
11827436837a4
12355292a6240
13172133c9b1a
14a4c2c16b04
155864c7e60c
hex31c77b7bd0

213800156112 has 80 divisors (see below), whose sum is σ = 562747146560. Its totient is φ = 69926630400.

The previous prime is 213800156093. The next prime is 213800156123. The reversal of 213800156112 is 211651008312.

It is a self number, because there is not a number n which added to its sum of digits gives 213800156112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108287 + ... + 1286817.

It is an arithmetic number, because the mean of its divisors is an integer number (7034339332).

Almost surely, 2213800156112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213800156112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281373573280).

213800156112 is an abundant number, since it is smaller than the sum of its proper divisors (348946990448).

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

213800156112 is a wasteful number, since it uses less digits than its factorization.

213800156112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179012 (or 179006 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 213800156112 in words is "two hundred thirteen billion, eight hundred million, one hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 409 488 732 818 976 1227 1464 1636 2454 2928 3272 4908 6544 9816 19632 24949 49898 74847 99796 149694 178531 199592 299388 357062 399184 535593 598776 714124 1071186 1197552 1428248 2142372 2856496 4284744 8569488 10890391 21780782 32671173 43561564 65342346 73019179 87123128 130684692 146038358 174246256 219057537 261369384 292076716 438115074 522738768 584153432 876230148 1168306864 1752460296 3504920592 4454169919 8908339838 13362509757 17816679676 26725019514 35633359352 53450039028 71266718704 106900078056 213800156112