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231313104 = 24331148677
BaseRepresentation
bin11011100100110…
…00111011010000
3121010020220221000
431302120323100
5433204004404
634541502000
75506062141
oct1562307320
9533226830
10231313104
1110962aa60
1265571900
1338bcbb79
1422a13ac8
1515492339
hexdc98ed0

231313104 has 80 divisors (see below), whose sum is σ = 724328640. Its totient is φ = 70093440.

The previous prime is 231313091. The next prime is 231313109. The reversal of 231313104 is 401313132.

231313104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313131042 = 107011504164229632, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231313109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19587 + ... + 29090.

It is an arithmetic number, because the mean of its divisors is an integer number (9054108).

Almost surely, 2231313104 is an apocalyptic number.

231313104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231313104 is an abundant number, since it is smaller than the sum of its proper divisors (493015536).

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

231313104 is a wasteful number, since it uses less digits than its factorization.

231313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48705 (or 48693 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 231313104 is about 15208.9810309567. The cubic root of 231313104 is about 613.8563397554.

Adding to 231313104 its reverse (401313132), we get a palindrome (632626236).

The spelling of 231313104 in words is "two hundred thirty-one million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 48677 97354 146031 194708 292062 389416 438093 535447 584124 778832 876186 1070894 1168248 1314279 1606341 1752372 2141788 2336496 2628558 3212682 3504744 4283576 4819023 5257116 6425364 7009488 8567152 9638046 10514232 12850728 14457069 19276092 21028464 25701456 28914138 38552184 57828276 77104368 115656552 231313104