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230233131012312 = 23333249132805827
BaseRepresentation
bin110100010110010101010011…
…111111010101000011011000
31010012012001221202110022101000
4310112111103333111003120
5220134114423014343222
62133355350143225000
766331536420640461
oct6426252377250330
91105161852408330
10230233131012312
11673a536032250a
12219a48818a8160
139b60b7797809c
1440bd4b3287d68
151b93d5ac389ac
hexd16553fd50d8

230233131012312 has 64 divisors (see below), whose sum is σ = 639556178025600. Its totient is φ = 76742012645280.

The previous prime is 230233131012217. The next prime is 230233131012343. The reversal of 230233131012312 is 213210131332032.

230233131012312 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 3 + 31 + 310 + 1 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9384858 + ... + 23420969.

It is an arithmetic number, because the mean of its divisors is an integer number (9993065281650).

Almost surely, 2230233131012312 is an apocalyptic number.

It is an amenable number.

230233131012312 is an abundant number, since it is smaller than the sum of its proper divisors (409323047013288).

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

230233131012312 is a wasteful number, since it uses less digits than its factorization.

230233131012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32838333 (or 32838323 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 230233131012312 its reverse (213210131332032), we get a palindrome (443443262344344).

The spelling of 230233131012312 in words is "two hundred thirty trillion, two hundred thirty-three billion, one hundred thirty-one million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 32491 64982 97473 129964 194946 259928 292419 389892 584838 779784 877257 1169676 1754514 2339352 3509028 7018056 32805827 65611654 98417481 131223308 196834962 262446616 295252443 393669924 590504886 787339848 885757329 1181009772 1771514658 2362019544 3543029316 7086058632 1065894125057 2131788250114 3197682375171 4263576500228 6395364750342 8527153000456 9593047125513 12790729500684 19186094251026 25581459001368 28779141376539 38372188502052 57558282753078 76744377004104 115116565506156 230233131012312