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230312040213032 = 232310112393028423
BaseRepresentation
bin110100010111011110110011…
…010110000010101000101000
31010012110121122002001001001122
4310113132303112002220220
5220141413024243304112
62133455520213234412
766340332026036321
oct6427366326025050
91105417562031048
10230312040213032
1167425873528988
12219b8024332a08
139b68441b0102b
1440c323b1db448
151b95e2858c872
hexd177b3582a28

230312040213032 has 32 divisors (see below), whose sum is σ = 455072003729280. Its totient is φ = 109058650113600.

The previous prime is 230312040213011. The next prime is 230312040213037.

It is a happy number.

230312040213032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 230312040212992 and 230312040213010.

It is not an unprimeable number, because it can be changed into a prime (230312040213037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6196495628 + ... + 6196532795.

It is an arithmetic number, because the mean of its divisors is an integer number (14221000116540).

Almost surely, 2230312040213032 is an apocalyptic number.

It is an amenable number.

230312040213032 is a deficient number, since it is larger than the sum of its proper divisors (224759963516248).

230312040213032 is a wasteful number, since it uses less digits than its factorization.

230312040213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12393028553 (or 12393028549 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The spelling of 230312040213032 in words is "two hundred thirty trillion, three hundred twelve billion, forty million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 23 46 92 101 184 202 404 808 2323 4646 9292 18584 12393028423 24786056846 49572113692 99144227384 285039653729 570079307458 1140158614916 1251695870723 2280317229832 2503391741446 5006783482892 10013566965784 28789005026629 57578010053258 115156020106516 230312040213032