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103019417463768 = 233135316737305439
BaseRepresentation
bin10111011011001000010011…
…110010000110101111011000
3111111202120010022222011111120
4113123020103302012233120
5102000332231332320033
61003034244513525240
730461623126131021
oct2733102362065730
9444676108864446
10103019417463768
112a9093204a1873
12b679a2a573820
1345638c675aa80
141b622488b1c48
15bd9b88a611b3
hex5db213c86bd8

103019417463768 has 128 divisors (see below), whose sum is σ = 284285359411200. Its totient is φ = 30913971918336.

The previous prime is 103019417463761. The next prime is 103019417463799. The reversal of 103019417463768 is 867364714910301.

It is a happy number.

103019417463768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030194174637682 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103019417463761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15891208 + ... + 21414231.

It is an arithmetic number, because the mean of its divisors is an integer number (2220979370400).

Almost surely, 2103019417463768 is an apocalyptic number.

It is an amenable number.

103019417463768 is an abundant number, since it is smaller than the sum of its proper divisors (181265941947432).

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

103019417463768 is a wasteful number, since it uses less digits than its factorization.

103019417463768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37305681 (or 37305677 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 103019417463768 in words is "one hundred three trillion, nineteen billion, four hundred seventeen million, four hundred sixty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 167 212 312 318 334 424 501 636 668 689 1002 1272 1336 1378 2004 2067 2171 2756 4008 4134 4342 5512 6513 8268 8684 8851 13026 16536 17368 17702 26052 26553 35404 52104 53106 70808 106212 115063 212424 230126 345189 460252 690378 920504 1380756 2761512 37305439 74610878 111916317 149221756 223832634 298443512 447665268 484970707 895330536 969941414 1454912121 1939882828 1977188267 2909824242 3879765656 3954376534 5819648484 5931564801 6230008313 7908753068 11639296968 11863129602 12460016626 15817506136 18690024939 23726259204 24920033252 25703447471 37380049878 47452518408 49840066504 51406894942 74760099756 77110342413 80990108069 102813789884 149520199512 154220684826 161980216138 205627579768 242970324207 308441369652 323960432276 330190440589 485940648414 616882739304 647920864552 660380881178 971881296828 990571321767 1320761762356 1943762593656 1981142643534 2641523524712 3962285287068 4292475727657 7924570574136 8584951455314 12877427182971 17169902910628 25754854365942 34339805821256 51509708731884 103019417463768