Search a number
-
+
102320312233320 = 23325676142038617
BaseRepresentation
bin10111010000111101001101…
…110111010010110101101000
3111102021201121111010202211200
4113100331031313102311220
5101402403444412431240
61001341145202324200
730360253502540046
oct2720751567226550
9442251544122750
10102320312233320
112a669889852845
12b586441659660
1345129c17a588c
141b3a488365396
15bc68bd300930
hex5d0f4ddd2d68

102320312233320 has 96 divisors (see below), whose sum is σ = 332590207851720. Its totient is φ = 27281380239360.

The previous prime is 102320312233273. The next prime is 102320312233361. The reversal of 102320312233320 is 23332213023201.

102320312233320 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 0 + 312 + 23 + 3 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70848683471556 + 31471628761764 = 8417166^2 + 5609958^2 .

It is a super-2 number, since 2×1023203122333202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18585349 + ... + 23453268.

Almost surely, 2102320312233320 is an apocalyptic number.

102320312233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102320312233320 is an abundant number, since it is smaller than the sum of its proper divisors (230269895618400).

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

102320312233320 is a wasteful number, since it uses less digits than its factorization.

102320312233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42045395 (or 42045388 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 102320312233320 its reverse (23332213023201), we get a palindrome (125652525256521).

The spelling of 102320312233320 in words is "one hundred two trillion, three hundred twenty billion, three hundred twelve million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6761 13522 20283 27044 33805 40566 54088 60849 67610 81132 101415 121698 135220 162264 202830 243396 270440 304245 405660 486792 608490 811320 1216980 2433960 42038617 84077234 126115851 168154468 210193085 252231702 336308936 378347553 420386170 504463404 630579255 756695106 840772340 1008926808 1261158510 1513390212 1681544680 1891737765 2522317020 3026780424 3783475530 5044634040 7566951060 15133902120 284223089537 568446179074 852669268611 1136892358148 1421115447685 1705338537222 2273784716296 2558007805833 2842230895370 3410677074444 4263346343055 5116015611666 5684461790740 6821354148888 8526692686110 10232031223332 11368923581480 12790039029165 17053385372220 20464062446664 25580078058330 34106770744440 51160156116660 102320312233320