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231118128 = 243217194969
BaseRepresentation
bin11011100011010…
…01010100110000
3121002220000110200
431301221110300
5433131240003
634533355200
75504320533
oct1561512460
9532800420
10231118128
1110950751a
1265498b00
1338b611b7
14229a2a1a
15154546a3
hexdc69530

231118128 has 120 divisors (see below), whose sum is σ = 721047600. Its totient is φ = 68677632.

The previous prime is 231118123. The next prime is 231118133. The reversal of 231118128 is 821811132.

It is an interprime number because it is at equal distance from previous prime (231118123) and next prime (231118133).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (231118123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44028 + ... + 48996.

It is an arithmetic number, because the mean of its divisors is an integer number (6008730).

Almost surely, 2231118128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231118128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360523800).

231118128 is an abundant number, since it is smaller than the sum of its proper divisors (489929472).

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

231118128 is a wasteful number, since it uses less digits than its factorization.

231118128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5010 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 231118128 is about 15202.5697827703. The cubic root of 231118128 is about 613.6838161703.

The spelling of 231118128 in words is "two hundred thirty-one million, one hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1224 1292 1368 1938 2448 2584 2736 2907 3876 4969 5168 5814 7752 9938 11628 14907 15504 19876 23256 29814 39752 44721 46512 59628 79504 84473 89442 94411 119256 168946 178884 188822 238512 253419 283233 337892 357768 377644 506838 566466 675784 715536 755288 760257 849699 1013676 1132932 1351568 1510576 1520514 1604987 1699398 2027352 2265864 3041028 3209974 3398796 4054704 4531728 4814961 6082056 6419948 6797592 9629922 12164112 12839896 13595184 14444883 19259844 25679792 28889766 38519688 57779532 77039376 115559064 231118128