Search a number
-
+
120521314120 = 23514920221697
BaseRepresentation
bin111000000111110100…
…0010100111101001000
3102112002100010010000211
41300033220110331020
53433311424022440
6131211114010504
711464426160434
oct1601750247510
9375070103024
10120521314120
114712715a139
121b436416a34
13b4991c2a6c
145b946899c4
153205b2deea
hex1c0fa14f48

120521314120 has 32 divisors (see below), whose sum is σ = 272992923000. Its totient is φ = 47884976128.

The previous prime is 120521314117. The next prime is 120521314129. The reversal of 120521314120 is 21413125021.

It can be written as a sum of positive squares in 4 ways, for example, as 88198308324 + 32323005796 = 296982^2 + 179786^2 .

It is a super-2 number, since 2×1205213141202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120521314091 and 120521314100.

It is not an unprimeable number, because it can be changed into a prime (120521314129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10104889 + ... + 10116808.

Almost surely, 2120521314120 is an apocalyptic number.

120521314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120521314120 is an abundant number, since it is smaller than the sum of its proper divisors (152471608880).

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

120521314120 is a wasteful number, since it uses less digits than its factorization.

120521314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20221857 (or 20221853 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 120521314120 its reverse (21413125021), we get a palindrome (141934439141).

The spelling of 120521314120 in words is "one hundred twenty billion, five hundred twenty-one million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 20221697 40443394 80886788 101108485 161773576 202216970 404433940 808867880 3013032853 6026065706 12052131412 15065164265 24104262824 30130328530 60260657060 120521314120