Search a number
-
+
102320131320 = 233251122348947
BaseRepresentation
bin101111101001011000…
…0010100110011111000
3100210002212101020002100
41133102300110303320
53134022423200240
6115001043303400
710251405523521
oct1372260246370
9323085336070
10102320131320
113a437057100
12179b697ab60
1398583b2a04
144d4924d848
1529dcc85e30
hex17d2c14cf8

102320131320 has 144 divisors (see below), whose sum is σ = 365519798280. Its totient is φ = 24804869760.

The previous prime is 102320131297. The next prime is 102320131357. The reversal of 102320131320 is 23131023201.

102320131320 is a `hidden beast` number, since 10 + 2 + 320 + 1 + 313 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102320131293 and 102320131302.

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 35 ways as a sum of consecutive naturals, for example, 1130914 + ... + 1218033.

Almost surely, 2102320131320 is an apocalyptic number.

102320131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102320131320 is an abundant number, since it is smaller than the sum of its proper divisors (263199666960).

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

102320131320 is a wasteful number, since it uses less digits than its factorization.

102320131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348986 (or 2348968 counting only the distinct ones).

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

Adding to 102320131320 its reverse (23131023201), we get a palindrome (125451154521).

The spelling of 102320131320 in words is "one hundred two billion, three hundred twenty million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 2348947 4697894 7046841 9395788 11744735 14093682 18791576 21140523 23489470 25838417 28187364 35234205 42281046 46978940 51676834 56374728 70468410 77515251 84562092 93957880 103353668 105702615 129192085 140936820 155030502 169124184 206707336 211405230 232545753 258384170 281873640 284222587 310061004 387576255 422810460 465091506 516768340 568445174 620122008 775152510 845620920 852667761 930183012 1033536680 1136890348 1162728765 1421112935 1550305020 1705335522 1860366024 2273780696 2325457530 2558003283 2842225870 3100610040 3410671044 4263338805 4650915060 5116006566 5684451740 6821342088 8526677610 9301830120 10232013132 11368903480 12790016415 17053355220 20464026264 25580032830 34106710440 51160065660 102320131320