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230131348680 = 23352566774717
BaseRepresentation
bin1101011001010011100…
…1011011010011001000
3211000000020201210101110
43112110321123103020
512232302111124210
6253415413250320
722424604121422
oct3262471332310
9730006653343
10230131348680
1189664168462
12387266339a0
131891698288c
14b1d1b5b812
155ebd896420
hex3594e5b4c8

230131348680 has 64 divisors (see below), whose sum is σ = 690430184640. Its totient is φ = 61365147392.

The previous prime is 230131348627. The next prime is 230131348687. The reversal of 230131348680 is 86843131032.

230131348680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230131348687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3042682 + ... + 3117398.

It is an arithmetic number, because the mean of its divisors is an integer number (10787971635).

Almost surely, 2230131348680 is an apocalyptic number.

230131348680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230131348680 is an abundant number, since it is smaller than the sum of its proper divisors (460298835960).

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

230131348680 is a wasteful number, since it uses less digits than its factorization.

230131348680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100398 (or 100394 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 230131348680 in words is "two hundred thirty billion, one hundred thirty-one million, three hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 25667 51334 74717 77001 102668 128335 149434 154002 205336 224151 256670 298868 308004 373585 385005 448302 513340 597736 616008 747170 770010 896604 1026680 1120755 1494340 1540020 1793208 2241510 2988680 3080040 4483020 8966040 1917761239 3835522478 5753283717 7671044956 9588806195 11506567434 15342089912 19177612390 23013134868 28766418585 38355224780 46026269736 57532837170 76710449560 115065674340 230131348680