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230110202011032 = 233272319850776571
BaseRepresentation
bin110100010100100010110100…
…110110011001110110011000
31010011202022122121212000110200
4310110202310312121312120
5220130111143203323112
62133223100100142200
766316625214445650
oct6424426466316630
91104668577760420
10230110202011032
1167358209090382
1221984a95097960
139b523b6a07785
1440b7570d3b360
151b90a63a65cdc
hexd148b4d99d98

230110202011032 has 96 divisors (see below), whose sum is σ = 743213074855680. Its totient is φ = 62887260173760.

The previous prime is 230110202010991. The next prime is 230110202011069.

230110202011032 is a `hidden beast` number, since 230 + 110 + 20 + 201 + 103 + 2 = 666.

230110202011032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230110202010996 and 230110202011014.

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 23 ways as a sum of consecutive naturals, for example, 9925376694 + ... + 9925399877.

It is an arithmetic number, because the mean of its divisors is an integer number (7741802863080).

Almost surely, 2230110202011032 is an apocalyptic number.

It is an amenable number.

230110202011032 is an abundant number, since it is smaller than the sum of its proper divisors (513102872844648).

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

230110202011032 is a wasteful number, since it uses less digits than its factorization.

230110202011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19850776613 (or 19850776606 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 23011020 and 2011032, that added together give a palindrome (25022052).

The spelling of 230110202011032 in words is "two hundred thirty trillion, one hundred ten billion, two hundred two million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 19850776571 39701553142 59552329713 79403106284 119104659426 138955435997 158806212568 178656989139 238209318852 277910871994 357313978278 416866307991 456567861133 476418637704 555821743988 714627956556 833732615982 913135722266 1111643487976 1250598923973 1369703583399 1429255913112 1667465231964 1826271444532 2501197847946 2739407166798 3195975027931 3334930463928 3652542889064 4109110750197 5002395695892 5478814333596 6391950055862 8218221500394 9587925083793 10004791391784 10957628667192 12783900111724 16436443000788 19175850167586 25567800223448 28763775251379 32872886001576 38351700335172 57527550502758 76703400670344 115055101005516 230110202011032