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213103013112 = 233211271199251
BaseRepresentation
bin1100011001110111101…
…1011110110011111000
3202101001111220201101100
43012131323132303320
511442413332404422
6241522001051400
721252614503263
oct3063573366370
9671044821340
10213103013112
1182416105960
1235373926b60
1317131b4ac82
14a4583c3cda
1558239737ac
hex319dedecf8

213103013112 has 96 divisors (see below), whose sum is σ = 629861132160. Its totient is φ = 64552200000.

The previous prime is 213103013099. The next prime is 213103013113. The reversal of 213103013112 is 211310301312.

213103013112 is a `hidden beast` number, since 21 + 31 + 0 + 301 + 311 + 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 (213103013113) 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, 2097487 + ... + 2196737.

It is an arithmetic number, because the mean of its divisors is an integer number (6561053460).

Almost surely, 2213103013112 is an apocalyptic number.

213103013112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213103013112 is an abundant number, since it is smaller than the sum of its proper divisors (416758119048).

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

213103013112 is a wasteful number, since it uses less digits than its factorization.

213103013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101985 (or 101978 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213103013112 its reverse (211310301312), we get a palindrome (424413314424).

The spelling of 213103013112 in words is "two hundred thirteen billion, one hundred three million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2711 5422 8133 10844 16266 21688 24399 29821 32532 48798 59642 65064 89463 97596 99251 119284 178926 195192 198502 238568 268389 297753 357852 397004 536778 595506 715704 794008 893259 1073556 1091761 1191012 1786518 2147112 2183522 2382024 3275283 3573036 4367044 6550566 7146072 8734088 9825849 13101132 19651698 26202264 39303396 78606792 269069461 538138922 807208383 1076277844 1614416766 2152555688 2421625149 2959764071 3228833532 4843250298 5919528142 6457667064 8879292213 9686500596 11839056284 17758584426 19373001192 23678112568 26637876639 35517168852 53275753278 71034337704 106551506556 213103013112