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102320113110 = 235233128316903
BaseRepresentation
bin101111101001011000…
…0010000010111010110
3100210002212100022002220
41133102300100113112
53134022422104420
6115001043043210
710251405416445
oct1372260202726
9323085308086
10102320113110
113a437044456
12179b6970506
1398583a7637
144d49246d5c
1529dcc80840
hex17d2c105d6

102320113110 has 128 divisors (see below), whose sum is σ = 265461497856. Its totient is φ = 25166401920.

The previous prime is 102320113097. The next prime is 102320113153. The reversal of 102320113110 is 11311023201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102320113110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6044919 + ... + 6061821.

It is an arithmetic number, because the mean of its divisors is an integer number (2073917952).

Almost surely, 2102320113110 is an apocalyptic number.

102320113110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102320113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132730748928).

102320113110 is an abundant number, since it is smaller than the sum of its proper divisors (163141384746).

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

102320113110 is a wasteful number, since it uses less digits than its factorization.

102320113110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17250.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102320113110 its reverse (11311023201), we get a palindrome (113631136311).

The spelling of 102320113110 in words is "one hundred two billion, three hundred twenty million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 283 310 345 465 566 690 713 849 930 1415 1426 1698 2139 2830 3565 4245 4278 6509 7130 8490 8773 10695 13018 16903 17546 19527 21390 26319 32545 33806 39054 43865 50709 52638 65090 84515 87730 97635 101418 131595 169030 195270 201779 253545 263190 388769 403558 507090 523993 605337 777538 1008895 1047986 1166307 1210674 1571979 1943845 2017790 2332614 2619965 3026685 3143958 3887690 4783549 5239930 5831535 6053370 7859895 9567098 11663070 12051839 14350647 15719790 23917745 24103678 28701294 36155517 47835490 60259195 71753235 72311034 110021627 120518390 143506470 148290019 180777585 220043254 296580038 330064881 361555170 444870057 550108135 660129762 741450095 889740114 1100216270 1482900190 1650324405 2224350285 3300648810 3410670437 4448700570 6821340874 10232011311 17053352185 20464022622 34106704370 51160056555 102320113110