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103708916513769 = 3733179409100621
BaseRepresentation
bin10111100101001010011101…
…001000001111101111101001
3111121012110211201002000220110
4113211022131020033233221
5102043131330111420034
61004323115111244533
730562502426301000
oct2745123510175751
9447173751060813
10103708916513769
1130054782760296
12b76b596379749
1345b392a4b1c18
141b877772d1c37
15beca90ca5de9
hex5e529d20fbe9

103708916513769 has 128 divisors (see below), whose sum is σ = 168980561920000. Its totient is φ = 56485588723200.

The previous prime is 103708916513747. The next prime is 103708916513771. The reversal of 103708916513769 is 967315619807301.

It is not a de Polignac number, because 103708916513769 - 25 = 103708916513737 is a prime.

It is a super-2 number, since 2×1037089165137692 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103708916513269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1030638279 + ... + 1030738899.

It is an arithmetic number, because the mean of its divisors is an integer number (1320160640000).

Almost surely, 2103708916513769 is an apocalyptic number.

It is an amenable number.

103708916513769 is a deficient number, since it is larger than the sum of its proper divisors (65271645406231).

103708916513769 is a wasteful number, since it uses less digits than its factorization.

103708916513769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101164 (or 101150 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 66.

The spelling of 103708916513769 in words is "one hundred three trillion, seven hundred eight billion, nine hundred sixteen million, five hundred thirteen thousand, seven hundred sixty-nine".

Divisors: 1 3 7 21 31 49 79 93 147 217 237 343 409 553 651 1029 1227 1519 1659 2449 2863 3871 4557 7347 8589 10633 11613 12679 17143 20041 27097 31899 32311 38037 51429 60123 81291 88753 96933 100621 120001 140287 226177 266259 301863 360003 420861 621271 678531 704347 840007 1001641 1583239 1863813 2113041 2520021 3004923 3119251 4348897 4749717 4930429 7011487 7949059 9357753 11082673 13046691 14791287 21034461 21834757 23847177 33248019 34513003 41153989 49080409 55643413 65504271 103539009 123461967 147241227 152843299 166930239 246420829 288077923 343562863 389503891 458529897 739262487 864233769 1030688589 1069903093 1168511673 1275773659 1724945803 2016545461 2726527237 3209709279 3251165131 3827320977 5174837409 6049636383 8179581711 8930415613 9753495393 12074620621 14115818227 22758155917 26791246839 36223861863 42347454681 62512909291 68274467751 84522344347 100786119061 159307091419 187538727873 253567033041 302358357183 437590365037 477921274257 705502833427 1115149639933 1312771095111 2116508500281 3345448919799 4938519833989 14815559501967 34569638837923 103708916513769