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10316122136520 = 2335894332230783
BaseRepresentation
bin1001011000011110100011…
…0010111001111111001000
31100112012201021210200011220
42112013220302321333020
52323004404231332040
633535054443322040
72113213060230264
oct226075062717710
940465637720156
1010316122136520
113318052007092
1211a7400520320
1359aa63134885
142794355170a4
1512d52cbc12d0
hex961e8cb9fc8

10316122136520 has 128 divisors (see below), whose sum is σ = 31368392294400. Its totient is φ = 2713773072384.

The previous prime is 10316122136519. The next prime is 10316122136587. The reversal of 10316122136520 is 2563122161301.

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 31 ways as a sum of consecutive naturals, for example, 3509049 + ... + 5739831.

It is an arithmetic number, because the mean of its divisors is an integer number (245065564800).

Almost surely, 210316122136520 is an apocalyptic number.

10316122136520 is a gapful number since it is divisible by the number (10) 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 10316122136520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15684196147200).

10316122136520 is an abundant number, since it is smaller than the sum of its proper divisors (21052270157880).

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

10316122136520 is a wasteful number, since it uses less digits than its factorization.

10316122136520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231319 (or 2231315 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 10316122136520 its reverse (2563122161301), we get a palindrome (12879244297821).

The spelling of 10316122136520 in words is "ten trillion, three hundred sixteen billion, one hundred twenty-two million, one hundred thirty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 433 445 534 712 866 890 1068 1299 1335 1732 1780 2136 2165 2598 2670 3464 3560 4330 5196 5340 6495 8660 10392 10680 12990 17320 25980 38537 51960 77074 115611 154148 192685 231222 308296 385370 462444 578055 770740 924888 1156110 1541480 2230783 2312220 4461566 4624440 6692349 8923132 11153915 13384698 17846264 22307830 26769396 33461745 44615660 53538792 66923490 89231320 133846980 198539687 267693960 397079374 595619061 794158748 965929039 992698435 1191238122 1588317496 1931858078 1985396870 2382476244 2897787117 2978095305 3863716156 3970793740 4764952488 4829645195 5795574234 5956190610 7727432312 7941587480 9659290390 11591148468 11912381220 14488935585 19318580780 23182296936 23824762440 28977871170 38637161560 57955742340 85967684471 115911484680 171935368942 257903053413 343870737884 429838422355 515806106826 687741475768 859676844710 1031612213652 1289515267065 1719353689420 2063224427304 2579030534130 3438707378840 5158061068260 10316122136520