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10213630434612 = 223211701253114537
BaseRepresentation
bin1001010010100000101111…
…0100000101110100110100
31100011102011110120202111100
42110220023310011310310
52314320003342401422
633420024350410100
72102624166153603
oct224501364056464
940142143522440
1010213630434612
113288638125510
12118b578200930
135911ab33ca07
142744b15a5a3a
1512aa2ed497ac
hex94a0bd05d34

10213630434612 has 144 divisors (see below), whose sum is σ = 28218122622144. Its totient is φ = 3089190720000.

The previous prime is 10213630434599. The next prime is 10213630434643. The reversal of 10213630434612 is 21643403631201.

10213630434612 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 6 + 3 + 0 + 4 + 34 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 702588208 + ... + 702602744.

It is an arithmetic number, because the mean of its divisors is an integer number (195959184876).

Almost surely, 210213630434612 is an apocalyptic number.

10213630434612 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 10213630434612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14109061311072).

10213630434612 is an abundant number, since it is smaller than the sum of its proper divisors (18004492187532).

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

10213630434612 is a wasteful number, since it uses less digits than its factorization.

10213630434612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17790 (or 17785 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10213630434612 in words is "ten trillion, two hundred thirteen billion, six hundred thirty million, four hundred thirty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 701 1402 2103 2531 2804 4206 5062 6309 7593 7711 8412 10124 12618 14537 15186 15422 22779 23133 25236 27841 29074 30372 30844 43611 45558 46266 55682 58148 69399 83523 87222 91116 92532 111364 130833 138798 159907 167046 174444 250569 261666 277596 319814 334092 479721 501138 523332 639628 959442 1002276 1439163 1774231 1918884 2878326 3548462 5322693 5756652 7096924 10190437 10645386 15968079 19516541 20380874 21290772 30571311 31936158 36793147 39033082 40761748 58549623 61142622 63872316 73586294 78066164 91713933 110379441 112094807 117099246 122285244 147172588 175648869 183427866 220758882 224189614 234198492 331138323 336284421 351297738 366855732 404724617 441517764 448379228 662276646 672568842 702595476 809449234 1008853263 1214173851 1324553292 1345137684 1618898468 2017706526 2428347702 3642521553 4035413052 4856695404 7285043106 14570086212 25791996047 51583992094 77375988141 103167984188 154751976282 232127964423 283711956517 309503952564 464255928846 567423913034 851135869551 928511857692 1134847826068 1702271739102 2553407608653 3404543478204 5106815217306 10213630434612