Search a number
-
+
231016128 = 26371710111
BaseRepresentation
bin11011100010100…
…00011011000000
3121002200211112220
431301100123000
5433120004003
634531251040
75503414260
oct1561203300
9532624486
10231016128
11109447922
1265449a80
1338b26945
14229777a0
1515434353
hexdc506c0

231016128 has 112 divisors (see below), whose sum is σ = 739713024. Its totient is φ = 62115840.

The previous prime is 231016127. The next prime is 231016129. The reversal of 231016128 is 821610132.

It is an interprime number because it is at equal distance from previous prime (231016127) and next prime (231016129).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2310161282 = 106736902792224768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 231016098 and 231016107.

It is not an unprimeable number, because it can be changed into a prime (231016127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17793 + ... + 27903.

Almost surely, 2231016128 is an apocalyptic number.

231016128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369856512).

231016128 is an abundant number, since it is smaller than the sum of its proper divisors (508696896).

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

231016128 is a wasteful number, since it uses less digits than its factorization.

231016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10150 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 231016128 is about 15199.2147165569. The cubic root of 231016128 is about 613.5935232963.

The spelling of 231016128 in words is "two hundred thirty-one million, sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 10111 11424 20222 22848 30333 40444 60666 70777 80888 121332 141554 161776 171887 212331 242664 283108 323552 343774 424662 485328 515661 566216 647104 687548 849324 970656 1031322 1132432 1203209 1375096 1698648 1941312 2062644 2264864 2406418 2750192 3397296 3609627 4125288 4529728 4812836 5500384 6794592 7219254 8250576 9625672 11000768 13589184 14438508 16501152 19251344 28877016 33002304 38502688 57754032 77005376 115508064 231016128