Search a number
-
+
102333001120 = 2557331927529
BaseRepresentation
bin101111101001110000…
…1011010110110100000
3100210010202121002010121
41133103201122312200
53134034222013440
6115002223210024
710251623105020
oct1372341326640
9323122532117
10102333001120
113a4433473a9
12179bb146914
13985ac6a88c
144d4ac3da80
1529dde7934a
hex17d385ada0

102333001120 has 96 divisors (see below), whose sum is σ = 276392390400. Its totient is φ = 35073755136.

The previous prime is 102333001097. The next prime is 102333001139. The reversal of 102333001120 is 21100333201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102333001094 and 102333001103.

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 15 ways as a sum of consecutive naturals, for example, 3703516 + ... + 3731044.

It is an arithmetic number, because the mean of its divisors is an integer number (2879087400).

Almost surely, 2102333001120 is an apocalyptic number.

102333001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102333001120 is an abundant number, since it is smaller than the sum of its proper divisors (174059389280).

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

102333001120 is a wasteful number, since it uses less digits than its factorization.

102333001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30870 (or 30862 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 102333001120 its reverse (21100333201), we get a palindrome (123433334321).

The spelling of 102333001120 in words is "one hundred two billion, three hundred thirty-three million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3319 6638 13276 16595 23233 26552 27529 33190 46466 53104 55058 66380 92932 106208 110116 116165 132760 137645 185864 192703 220232 232330 265520 275290 371728 385406 440464 464660 531040 550580 743456 770812 880928 929320 963515 1101160 1541624 1858640 1927030 2202320 3083248 3717280 3854060 4404640 6166496 7708120 15416240 30832480 91368751 182737502 365475004 456843755 639581257 730950008 913687510 1279162514 1461900016 1827375020 2558325028 2923800032 3197906285 3654750040 5116650056 6395812570 7309500080 10233300112 12791625140 14619000160 20466600224 25583250280 51166500560 102333001120