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230132781032 = 237211531006987
BaseRepresentation
bin1101011001010011111…
…0111000111111101000
3211000000100102120012112
43112110332320333220
512232302442443112
6253415504101452
722424622235400
oct3262476707750
9730010376175
10230132781032
1189664a56620
1238727004888
131891706481b
14b1d2011800
155ebda7aa22
hex3594fb8fe8

230132781032 has 96 divisors (see below), whose sum is σ = 557911631520. Its totient is φ = 87970296960.

The previous prime is 230132781029. The next prime is 230132781079. The reversal of 230132781032 is 230187231032.

It is a super-2 number, since 2×2301327810322 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230132781032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274958 + ... + 732029.

It is an arithmetic number, because the mean of its divisors is an integer number (5811579495).

Almost surely, 2230132781032 is an apocalyptic number.

230132781032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230132781032 is an abundant number, since it is smaller than the sum of its proper divisors (327778850488).

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

230132781032 is a wasteful number, since it uses less digits than its factorization.

230132781032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007071 (or 1007060 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 230132781032 in words is "two hundred thirty billion, one hundred thirty-two million, seven hundred eighty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 53 56 77 88 98 106 154 196 212 308 371 392 424 539 583 616 742 1078 1166 1484 2156 2332 2597 2968 4081 4312 4664 5194 8162 10388 16324 20776 28567 32648 57134 114268 228536 1006987 2013974 4027948 7048909 8055896 11076857 14097818 22153714 28195636 44307428 49342363 53370311 56391272 77537999 88614856 98684726 106740622 155075998 197369452 213481244 310151996 373592177 394738904 426962488 542765993 587073421 620303992 747184354 1085531986 1174146842 1494368708 2171063972 2348293684 2615145239 2988737416 4109513947 4342127944 4696587368 5230290478 8219027894 10460580956 16438055788 20921161912 28766597629 32876111576 57533195258 115066390516 230132781032