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10323003312 = 2433791312309
BaseRepresentation
bin10011001110100110…
…01000011110110000
3222122102112220101000
421213103020132300
5132120142101222
64424201442000
7513546036366
oct114723103660
928572486330
1010323003312
1144180801a6
1220011a0300
13c868b06ab
146dd003636
154064129ac
hex2674c87b0

10323003312 has 160 divisors (see below), whose sum is σ = 30248064000. Its totient is φ = 3370049280.

The previous prime is 10323003311. The next prime is 10323003337. The reversal of 10323003312 is 21330032301.

10323003312 is a `hidden beast` number, since 1 + 0 + 32 + 300 + 331 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10323003311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4469614 + ... + 4471922.

It is an arithmetic number, because the mean of its divisors is an integer number (189050400).

Almost surely, 210323003312 is an apocalyptic number.

10323003312 is a gapful number since it is divisible by the number (12) 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 10323003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124032000).

10323003312 is an abundant number, since it is smaller than the sum of its proper divisors (19925060688).

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

10323003312 is a wasteful number, since it uses less digits than its factorization.

10323003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10323003312 its reverse (21330032301), we get a palindrome (31653035613).

The spelling of 10323003312 in words is "ten billion, three hundred twenty-three million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 131 144 158 216 237 262 316 393 432 474 524 632 711 786 948 1048 1179 1264 1422 1572 1896 2096 2133 2309 2358 2844 3144 3537 3792 4266 4618 4716 5688 6288 6927 7074 8532 9236 9432 10349 11376 13854 14148 17064 18472 18864 20698 20781 27708 28296 31047 34128 36944 41396 41562 55416 56592 62094 62343 82792 83124 93141 110832 124188 124686 165584 166248 182411 186282 248376 249372 279423 302479 332496 364822 372564 496752 498744 547233 558846 604958 729644 745128 907437 997488 1094466 1117692 1209916 1459288 1490256 1641699 1814874 2188932 2235384 2419832 2722311 2918576 3283398 3629748 4377864 4470768 4839664 4925097 5444622 6566796 7259496 8166933 8755728 9850194 10889244 13133592 14518992 16333866 19700388 21778488 23895841 26267184 32667732 39400776 43556976 47791682 65335464 71687523 78801552 95583364 130670928 143375046 191166728 215062569 286750092 382333456 430125138 573500184 645187707 860250276 1147000368 1290375414 1720500552 2580750828 3441001104 5161501656 10323003312