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203012320212 = 2232131673078461
BaseRepresentation
bin1011110100010001111…
…0100010101111010100
3201102000021111101222200
42331010132202233110
511311232123221322
6233132414324500
720444556151452
oct2750436425724
9642007441880
10203012320212
1179108186a39
12334184b9730
13161b4428380
149b7c1b39d2
155432b4d8ac
hex2f447a2bd4

203012320212 has 144 divisors (see below), whose sum is σ = 557830745472. Its totient is φ = 61881719040.

The previous prime is 203012320201. The next prime is 203012320229. The reversal of 203012320212 is 212023210302.

203012320212 is a `hidden beast` number, since 20 + 301 + 2 + 320 + 21 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23989662 + ... + 23998122.

Almost surely, 2203012320212 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 203012320212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278915372736).

203012320212 is an abundant number, since it is smaller than the sum of its proper divisors (354818425260).

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

203012320212 is a wasteful number, since it uses less digits than its factorization.

203012320212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958 (or 8953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 203012320212 its reverse (212023210302), we get a palindrome (415035530514).

The spelling of 203012320212 in words is "two hundred three billion, twelve million, three hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 167 234 307 334 468 501 614 668 921 1002 1228 1503 1842 2004 2171 2763 3006 3684 3991 4342 5526 6012 6513 7982 8461 8684 11052 11973 13026 15964 16922 19539 23946 25383 26052 33844 35919 39078 47892 50766 51269 71838 76149 78156 101532 102538 109993 143676 152298 153807 205076 219986 304596 307614 329979 439972 461421 615228 659958 666497 922842 989937 1319916 1332994 1412987 1845684 1979874 1999491 2597527 2665988 2825974 3959748 3998982 4238961 5195054 5651948 5998473 7792581 7997964 8477922 10390108 11996946 12716883 15585162 16955844 18368831 23377743 23993892 25433766 31170324 33767851 36737662 46755486 50867532 55106493 67535702 73475324 93510972 101303553 110212986 135071404 165319479 202607106 220425972 303910659 330638958 405214212 433787009 607821318 661277916 867574018 1215642636 1301361027 1735148036 2602722054 3904083081 5205444108 5639231117 7808166162 11278462234 15616332324 16917693351 22556924468 33835386702 50753080053 67670773404 101506160106 203012320212