Search a number
-
+
13575101220 = 2232575417229
BaseRepresentation
bin11001010010010001…
…11001101100100100
31022001001221121000200
430221020321230210
5210300211214340
610123013310500
7660255312402
oct145110715444
938031847020
1013575101220
11583687751a
12276a335430
131384590495
1492acb0472
15546ba2330
hex329239b24

13575101220 has 36 divisors (see below), whose sum is σ = 41177807580. Its totient is φ = 3620026944.

The previous prime is 13575101219. The next prime is 13575101249. The reversal of 13575101220 is 2210157531.

13575101220 is a `hidden beast` number, since 135 + 7 + 510 + 12 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10340449344 + 3234651876 = 101688^2 + 56874^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37708435 + ... + 37708794.

Almost surely, 213575101220 is an apocalyptic number.

13575101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13575101220 is an abundant number, since it is smaller than the sum of its proper divisors (27602706360).

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

13575101220 is a wasteful number, since it uses less digits than its factorization.

13575101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75417244 (or 75417239 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 13575101220 its reverse (2210157531), we get a palindrome (15785258751).

The spelling of 13575101220 in words is "thirteen billion, five hundred seventy-five million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 75417229 150834458 226251687 301668916 377086145 452503374 678755061 754172290 905006748 1131258435 1357510122 1508344580 2262516870 2715020244 3393775305 4525033740 6787550610 13575101220