Search a number
-
+
102232033010120 = 23513238547828847
BaseRepresentation
bin10111001111101011000000…
…000000110010000111001000
3111101222021202011012120201102
4113033223000000302013020
5101344432200422310440
61001232425252240532
730351010036531346
oct2717530000620710
9441867664176642
10102232033010120
112a6353a84a5842
12b571305010148
134507593325a30
141b360b1bda996
15bc445307db15
hex5cfac00321c8

102232033010120 has 64 divisors (see below), whose sum is σ = 258486344363520. Its totient is φ = 36106029045504.

The previous prime is 102232033010101. The next prime is 102232033010161. The reversal of 102232033010120 is 21010330232201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102232033010092 and 102232033010101.

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, 4273902464 + ... + 4273926383.

It is an arithmetic number, because the mean of its divisors is an integer number (4038849130680).

Almost surely, 2102232033010120 is an apocalyptic number.

102232033010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102232033010120 is an abundant number, since it is smaller than the sum of its proper divisors (156254311353400).

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

102232033010120 is a wasteful number, since it uses less digits than its factorization.

102232033010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547828894 (or 8547828890 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102232033010120 its reverse (21010330232201), we get a palindrome (123242363242321).

The spelling of 102232033010120 in words is "one hundred two trillion, two hundred thirty-two billion, thirty-three million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 11960 8547828847 17095657694 34191315388 42739144235 68382630776 85478288470 111121775011 170956576940 196600063481 222243550022 341913153880 393200126962 444487100044 555608875055 786400253924 888974200088 983000317405 1111217750110 1572800507848 1966000634810 2222435500220 2555800825253 3932001269620 4444871000440 5111601650506 7864002539240 10223203301012 12779004126265 20446406602024 25558008252530 51116016505060 102232033010120