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130031232102 = 23217199722377
BaseRepresentation
bin111100100011001110…
…1110010010001100110
3110102122002201000000100
41321012131302101212
54112300443411402
6135422512324530
712252203144022
oct1710635622146
9412562630010
10130031232102
1150167271292
122124b243746
13c3534bb575
1464176b9382
1535b098271c
hex1e46772466

130031232102 has 144 divisors (see below), whose sum is σ = 317411349840. Its totient is φ = 38232539136.

The previous prime is 130031232049. The next prime is 130031232169. The reversal of 130031232102 is 201232130031.

130031232102 is a `hidden beast` number, since 1 + 30 + 0 + 312 + 321 + 0 + 2 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 54702738 + ... + 54705114.

It is an arithmetic number, because the mean of its divisors is an integer number (2204245485).

Almost surely, 2130031232102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130031232102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158705674920).

130031232102 is an abundant number, since it is smaller than the sum of its proper divisors (187380117738).

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

130031232102 is a wasteful number, since it uses less digits than its factorization.

130031232102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130031232102 its reverse (201232130031), we get a palindrome (331263362133).

The spelling of 130031232102 in words is "one hundred thirty billion, thirty-one million, two hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 97 102 114 153 171 194 291 306 323 342 582 646 873 969 1649 1746 1843 1938 2377 2907 3298 3686 4754 4947 5529 5814 7131 9409 9894 11058 14262 14841 16587 18818 21393 28227 29682 31331 33174 40409 42786 45163 56454 62662 80818 84681 90326 93993 121227 135489 159953 169362 178771 187986 230569 242454 270978 281979 319906 357542 363681 406467 461138 479859 536313 563958 691707 727362 767771 812934 959718 1072626 1383414 1439577 1535542 1608939 2075121 2303313 2879154 3039107 3217878 3919673 4150242 4380811 4606626 6078214 6909939 7839346 8761622 9117321 11759019 13142433 13819878 18234642 22365193 23518038 26284866 27351963 35277057 39427299 44730386 54703926 67095579 70554114 74473787 78854598 134191158 148947574 201286737 223421361 380208281 402573474 424938667 446842722 670264083 760416562 849877334 1140624843 1274816001 1340528166 2281249686 2549632002 3421874529 3824448003 6843749058 7223957339 7648896006 14447914678 21671872017 43343744034 65015616051 130031232102