Search a number
-
+
203213231202132 = 223243257510796487
BaseRepresentation
bin101110001101001001000100…
…011101011001111101010100
3222122111222212111000201200100
4232031021010131121331110
5203113421144141432012
62000110511501414100
760542446211014134
oct5615110435317524
9878458774021610
10203213231202132
115982827a28a218
121a960103b6a330
138950c05370128
143827803d4cac4
1518760986288dc
hexb8d244759f54

203213231202132 has 72 divisors (see below), whose sum is σ = 527669117591616. Its totient is φ = 65905005809664.

The previous prime is 203213231202131. The next prime is 203213231202139. The reversal of 203213231202132 is 231202132312302.

203213231202132 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 1 + 323 + 1 + 202 + 132 = 666.

203213231202132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2032132312021322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203213231202096 and 203213231202105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203213231202131) 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, 255000408 + ... + 255796079.

It is an arithmetic number, because the mean of its divisors is an integer number (7328737744328).

Almost surely, 2203213231202132 is an apocalyptic number.

It is an amenable number.

203213231202132 is an abundant number, since it is smaller than the sum of its proper divisors (324455886389484).

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

203213231202132 is a wasteful number, since it uses less digits than its factorization.

203213231202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510796797 (or 510796792 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 203213231202132 its reverse (231202132312302), we get a palindrome (434415363514434).

The spelling of 203213231202132 in words is "two hundred three trillion, two hundred thirteen billion, two hundred thirty-one million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 257 258 387 514 516 771 774 1028 1542 1548 2313 3084 4626 9252 11051 22102 33153 44204 66306 99459 132612 198918 397836 510796487 1021592974 1532389461 2043185948 3064778922 4597168383 6129557844 9194336766 18388673532 21964248941 43928497882 65892746823 87856995764 131274697159 131785493646 197678240469 262549394318 263570987292 393824091477 395356480938 525098788636 787648182954 790712961876 1181472274431 1575296365908 2362944548862 4725889097724 5644811977837 11289623955674 16934435933511 22579247911348 33868871867022 50803307800533 67737743734044 101606615601066 203213231202132