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102110102331021 = 32192377910752023
BaseRepresentation
bin10111001101111001011100…
…011000001001111010001101
3111101112122000121010022101200
4113031321130120021322031
5101340432442144043041
61001100422230500113
730336132345052041
oct2715713430117215
9441478017108350
10102110102331021
112a598718840964
12b551756804639
1344c8c311559c5
141b302262c2021
15bc11b885a1b6
hex5cde5c609e8d

102110102331021 has 72 divisors (see below), whose sum is σ = 161894515610880. Its totient is φ = 61953322796352.

The previous prime is 102110102330959. The next prime is 102110102331023. The reversal of 102110102331021 is 120133201011201.

102110102331021 is a `hidden beast` number, since 1 + 0 + 211 + 0 + 102 + 331 + 0 + 21 = 666.

It is not a de Polignac number, because 102110102331021 - 237 = 101972663377549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102110102330985 and 102110102331003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110102331023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4120816 + ... + 14872838.

It is an arithmetic number, because the mean of its divisors is an integer number (2248534939040).

Almost surely, 2102110102331021 is an apocalyptic number.

It is an amenable number.

102110102331021 is a deficient number, since it is larger than the sum of its proper divisors (59784413279859).

102110102331021 is a wasteful number, since it uses less digits than its factorization.

102110102331021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10752183 (or 10752161 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102110102331021 its reverse (120133201011201), we get a palindrome (222243303342222).

The spelling of 102110102331021 in words is "one hundred two trillion, one hundred ten billion, one hundred two million, three hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 19 37 57 79 111 171 237 333 361 703 711 1083 1501 2109 2923 3249 4503 6327 8769 13357 13509 26307 28519 40071 55537 85557 120213 166611 256671 499833 1055203 3165609 9496827 10752023 32256069 96768207 204288437 397824851 612865311 849409817 1193474553 1838595933 2548229451 3580423659 3881480303 7558672169 7644688353 11644440909 16138786523 22676016507 31428163229 34933322727 48416359569 68028049521 94284489687 143614771211 145249078707 282853469061 306636943937 430844313633 597135101351 919910831811 1292532940899 1791405304053 2759732495433 5374215912159 11345566925669 34036700777007 102110102331021