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10000231130032 = 241113291491011509
BaseRepresentation
bin1001000110000101110000…
…1110010110001110110000
31022102000100022010212121221
42101201130032112032300
52302320433132130112
633134013122554424
72051331023044633
oct221413416261660
938360308125557
1010000231130032
11320608a849480
121156141208a14
1357702ccc1c60
14268029ad5c1a
151251e039ae07
hex9185c3963b0

10000231130032 has 160 divisors (see below), whose sum is σ = 23705748360000. Its totient is φ = 4024021585920.

The previous prime is 10000231130023. The next prime is 10000231130053. The reversal of 10000231130032 is 23003113200001.

It is a super-2 number, since 2×100002311300322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10000231129988 and 10000231130015.

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 31 ways as a sum of consecutive naturals, for example, 9380694 + ... + 10392202.

It is an arithmetic number, because the mean of its divisors is an integer number (148160927250).

Almost surely, 210000231130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000231130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11852874180000).

10000231130032 is an abundant number, since it is smaller than the sum of its proper divisors (13705517229968).

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

10000231130032 is a wasteful number, since it uses less digits than its factorization.

10000231130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011719 (or 1011713 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10000231130032 its reverse (23003113200001), we get a palindrome (33003344330033).

The spelling of 10000231130032 in words is "ten trillion, two hundred thirty-one million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 104 116 143 149 176 208 232 286 298 319 377 464 572 596 638 754 1144 1192 1276 1508 1639 1937 2288 2384 2552 3016 3278 3874 4147 4321 5104 6032 6556 7748 8294 8642 13112 15496 16588 17284 21307 26224 30992 33176 34568 42614 47531 56173 66352 69136 85228 95062 112346 170456 190124 224692 340912 380248 449384 617903 760496 898768 1011509 1235806 2023018 2471612 4046036 4943224 8092072 9886448 11126599 13149617 16184144 22253198 26299234 29333761 44506396 52598468 58667522 89012792 105196936 117335044 144645787 150714841 178025584 210393872 234670088 289291574 301429682 322671371 381338893 469340176 578583148 602859364 645342742 762677786 1157166296 1205718728 1290685484 1525355572 1657863251 1959292933 2314332592 2411437456 2581370968 3050711144 3315726502 3918585866 4194727823 4370730389 5162741936 6101422288 6631453004 7837171732 8389455646 8741460778 13262906008 15674343464 16778911292 17482921556 21552222263 26525812016 31348686928 33557822584 34965843112 43104444526 48078034279 56819495057 67115645168 69931686224 86208889052 96156068558 113638990114 172417778104 192312137116 227277980228 344835556208 384624274232 454555960456 625014445627 769248548464 909111920912 1250028891254 2500057782508 5000115565016 10000231130032