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102315013020 = 223251124697659
BaseRepresentation
bin101111101001001110…
…0110011001110011100
3100210002111202012002200
41133102130303032130
53134020120404040
6115000341451500
710251314155413
oct1372234631634
9323074665080
10102315013020
113a434180700
12179b5110b90
13985731012c
144d486ba47a
1529dc5c4630
hex17d273339c

102315013020 has 108 divisors (see below), whose sum is σ = 341134673880. Its totient is φ = 24803634240.

The previous prime is 102315013007. The next prime is 102315013039. The reversal of 102315013020 is 20310513201.

102315013020 is a `hidden beast` number, since 102 + 31 + 501 + 30 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102315012984 and 102315013002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2327050 + ... + 2370609.

Almost surely, 2102315013020 is an apocalyptic number.

102315013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102315013020 is an abundant number, since it is smaller than the sum of its proper divisors (238819660860).

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

102315013020 is a wasteful number, since it uses less digits than its factorization.

102315013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697696 (or 4697680 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 102315013020 its reverse (20310513201), we get a palindrome (122625526221).

The spelling of 102315013020 in words is "one hundred two billion, three hundred fifteen million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 4697659 9395318 14092977 18790636 23488295 28185954 42278931 46976590 51674249 56371908 70464885 84557862 93953180 103348498 140929770 155022747 169115724 206696996 211394655 258371245 281859540 310045494 422789310 465068241 516742490 568416739 620090988 775113735 845578620 930136482 1033484980 1136833478 1550227470 1705250217 1860272964 2273666956 2325341205 2842083695 3100454940 3410500434 4650682410 5115750651 5684167390 6821000868 8526251085 9301364820 10231501302 11368334780 17052502170 20463002604 25578753255 34105004340 51157506510 102315013020