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313300111032 = 233317194490599
BaseRepresentation
bin1001000111100100010…
…01000100111010111000
31002221200102102200011000
410203302021010322320
520113114312023112
6355532244405000
731430604001266
oct4436211047270
91087612380130
10313300111032
111109628215a7
12508776a6760
132370c439aac
14112416ad436
15823a1427dc
hex48f2244eb8

313300111032 has 128 divisors (see below), whose sum is σ = 969969600000. Its totient is φ = 93117040128.

The previous prime is 313300111009. The next prime is 313300111079. The reversal of 313300111032 is 230111003313.

It is a happy number.

313300111032 is a `hidden beast` number, since 313 + 300 + 11 + 10 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 313300110996 and 313300111014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2175532 + ... + 2315067.

It is an arithmetic number, because the mean of its divisors is an integer number (7577887500).

Almost surely, 2313300111032 is an apocalyptic number.

It is an amenable number.

313300111032 is an abundant number, since it is smaller than the sum of its proper divisors (656669488968).

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

313300111032 is a wasteful number, since it uses less digits than its factorization.

313300111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490650 (or 4490640 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313300111032 its reverse (230111003313), we get a palindrome (543411114345).

The spelling of 313300111032 in words is "three hundred thirteen billion, three hundred million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 323 342 408 456 459 513 612 646 684 918 969 1026 1224 1292 1368 1836 1938 2052 2584 2907 3672 3876 4104 5814 7752 8721 11628 17442 23256 34884 69768 4490599 8981198 13471797 17962396 26943594 35924792 40415391 53887188 76340183 80830782 85321381 107774376 121246173 152680366 161661564 170642762 229020549 242492346 255964143 305360732 323323128 341285524 458041098 484984692 511928286 610721464 682571048 687061647 767892429 916082196 969969384 1023856572 1374123294 1450463477 1535784858 1832164392 2047713144 2061184941 2303677287 2748246588 2900926954 3071569716 4122369882 4351390431 4607354574 5496493176 5801853908 6143139432 8244739764 8702780862 9214709148 11603707816 13054171293 16489479528 17405561724 18429418296 26108342586 34811123448 39162513879 52216685172 78325027758 104433370344 156650055516 313300111032