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102320100330 = 23577311875623
BaseRepresentation
bin101111101001011000…
…0001101001111101010
3100210002212022122120120
41133102300031033222
53134022421202310
6115001042504110
710251405334260
oct1372260151752
9323085278516
10102320100330
113a437035898
12179b6965036
1398583a1886
144d49242430
1529dcc7bb70
hex17d2c0d3ea

102320100330 has 128 divisors (see below), whose sum is σ = 284784242688. Its totient is φ = 23043543552.

The previous prime is 102320100277. The next prime is 102320100349. The reversal of 102320100330 is 33001023201.

It is a super-2 number, since 2×1023201003302 (a number of 23 digits) contains 22 as substring.

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

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, 18193899 + ... + 18199521.

It is an arithmetic number, because the mean of its divisors is an integer number (2224876896).

Almost surely, 2102320100330 is an apocalyptic number.

102320100330 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 102320100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142392121344).

102320100330 is an abundant number, since it is smaller than the sum of its proper divisors (182464142358).

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

102320100330 is a wasteful number, since it uses less digits than its factorization.

102320100330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102320100330 its reverse (33001023201), we get a palindrome (135321123531).

The spelling of 102320100330 in words is "one hundred two billion, three hundred twenty million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1187 1533 2190 2374 2555 3066 3561 5110 5623 5935 7122 7665 8309 11246 11870 15330 16618 16869 17805 24927 28115 33738 35610 39361 41545 49854 56230 78722 83090 84345 86651 118083 124635 168690 173302 196805 236166 249270 259953 393610 410479 433255 519906 590415 606557 820958 866510 1180830 1213114 1231437 1299765 1819671 2052395 2462874 2599530 2873353 3032785 3639342 4104790 5746706 6065570 6157185 6674501 8620059 9098355 12314370 13349002 14366765 17240118 18196710 20023503 28733530 33372505 40047006 43100295 46721507 66745010 86200590 93443014 100117515 140164521 200235030 233607535 280329042 467215070 487238573 700822605 974477146 1401645210 1461715719 2436192865 2923431438 3410670011 4872385730 6821340022 7308578595 10232010033 14617157190 17053350055 20464020066 34106700110 51160050165 102320100330