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101031115540992 = 293713722807317
BaseRepresentation
bin10110111110001100100011…
…110000001100101000000000
3111020201110222011010012200220
4112332030203300030220000
5101220243211034302432
6554513015335143040
730165154140501240
oct2676144360145000
9436643864105626
10101031115540992
112a2120679355aa
12b3b8610214a80
13444b2689391b0
141ad3d098c9b20
15ba30b7a6572c
hex5be323c0ca00

101031115540992 has 160 divisors (see below), whose sum is σ = 331265485068672. Its totient is φ = 26645568897024.

The previous prime is 101031115540981. The next prime is 101031115541017. The reversal of 101031115540992 is 299045511130101.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 361263883 + ... + 361543434.

Almost surely, 2101031115540992 is an apocalyptic number.

101031115540992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101031115540992 is an abundant number, since it is smaller than the sum of its proper divisors (230234369527680).

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

101031115540992 is an equidigital number, since it uses as much as digits as its factorization.

101031115540992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722807358 (or 722807342 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 42.

The spelling of 101031115540992 in words is "one hundred one trillion, thirty-one billion, one hundred fifteen million, five hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1664 1792 2184 2496 2688 2912 3328 3584 4368 4992 5376 5824 6656 8736 9984 10752 11648 17472 19968 23296 34944 46592 69888 139776 722807317 1445614634 2168421951 2891229268 4336843902 5059651219 5782458536 8673687804 9396495121 10119302438 11564917072 15178953657 17347375608 18792990242 20238604876 23129834144 28189485363 30357907314 34694751216 37585980484 40477209752 46259668288 56378970726 60715814628 65775465847 69389502432 75171960968 80954419504 92519336576 112757941452 121431629256 131550931694 138779004864 150343921936 161908839008 185038673152 197326397541 225515882904 242863258512 263101863388 277558009728 300687843872 323817678016 370077346304 394652795082 451031765808 485726517024 526203726776 555116019456 601375687744 647635356032 789305590164 902063531616 971453034048 1052407453552 1110232038912 1202751375488 1295270712064 1578611180328 1804127063232 1942906068096 2104814907104 2405502750976 2590541424128 3157222360656 3608254126464 3885812136192 4209629814208 4811005501952 6314444721312 7216508252928 7771624272384 8419259628416 12628889442624 14433016505856 16838519256832 25257778885248 33677038513664 50515557770496 101031115540992