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232011343110232 = 23712837069456811
BaseRepresentation
bin110100110000001101011001…
…101100001010000001011000
31010102111001211102020101000101
4310300031121230022001120
5220402233212314011412
62141240312315545144
766604160240245240
oct6460153154120130
91112431742211011
10232011343110232
1167a20504731854
122203142945b1b4
139c5c763ca002a
1441415a2126b20
151bc5232aac457
hexd30359b0a058

232011343110232 has 64 divisors (see below), whose sum is σ = 497626142227200. Its totient is φ = 99341659405440.

The previous prime is 232011343110073. The next prime is 232011343110233.

232011343110232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 232011343110232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232011343110233) 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, 507665107 + ... + 508121917.

It is an arithmetic number, because the mean of its divisors is an integer number (7775408472300).

Almost surely, 2232011343110232 is an apocalyptic number.

It is an amenable number.

232011343110232 is an abundant number, since it is smaller than the sum of its proper divisors (265614799116968).

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

232011343110232 is a wasteful number, since it uses less digits than its factorization.

232011343110232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465176 (or 465172 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 232011343110232 in words is "two hundred thirty-two trillion, eleven billion, three hundred forty-three million, one hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 1283 2566 5132 7069 8981 10264 14138 17962 28276 35924 49483 56552 71848 98966 197932 395864 456811 913622 1827244 3197677 3654488 6395354 9069527 12790708 18139054 25581416 36278108 63486689 72556216 126973378 253946756 507893512 586088513 1172177026 2344354052 3229196959 4102619591 4688708104 6458393918 8205239182 12916787836 16410478364 22604378713 25833575672 32820956728 45208757426 90417514852 180835029704 4143059698397 8286119396794 16572238793588 29001417888779 33144477587176 58002835777558 116005671555116 232011343110232