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230051031552012 = 223117188872762083
BaseRepresentation
bin110100010011101011101110…
…000001000001000000001100
31010011112122220221012021000110
4310103223232001001000030
5220123124003034131022
62133135552424000020
766312432010032036
oct6423535601010014
91104478827167013
10230051031552012
1167335104990780
1221975521000010
139b499470a4548
1440b475a702c56
151b8e24e07300c
hexd13aee04100c

230051031552012 has 96 divisors (see below), whose sum is σ = 593899147505664. Its totient is φ = 68722809825600.

The previous prime is 230051031551981. The next prime is 230051031552091. The reversal of 230051031552012 is 210255130150032.

It is a super-2 number, since 2×2300510315520122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81907923 + ... + 84670005.

It is an arithmetic number, because the mean of its divisors is an integer number (6186449453184).

Almost surely, 2230051031552012 is an apocalyptic number.

230051031552012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230051031552012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296949573752832).

230051031552012 is an abundant number, since it is smaller than the sum of its proper divisors (363848115953652).

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

230051031552012 is a wasteful number, since it uses less digits than its factorization.

230051031552012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771059 (or 2771057 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 230051031552012 in words is "two hundred thirty trillion, fifty-one billion, thirty-one million, five hundred fifty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 8887 9372 17774 26661 35548 53322 97757 106644 195514 293271 391028 586542 630977 1173084 1261954 1892931 2523908 2762083 3785862 5524166 6940747 7571724 8286249 11048332 13881494 16572498 20822241 27762988 30382913 33144996 41644482 60765826 83288964 91148739 121531652 182297478 196107893 364594956 392215786 588323679 784431572 1176647358 2157186823 2353294716 4314373646 6471560469 8628747292 12943120938 24546631621 25886241876 49093263242 73639894863 98186526484 147279789726 270012947831 294559579452 540025895662 810038843493 1080051791324 1620077686986 1742810845091 3240155373972 3485621690182 5228432535273 6971243380364 10456865070546 19170919296001 20913730141092 38341838592002 57512757888003 76683677184004 115025515776006 230051031552012