Search a number
-
+
102102110120 = 2354335895041
BaseRepresentation
bin101111100010111000…
…0101000111110101000
3100202112200010121020002
41133011300220332220
53133101120010440
6114523254322132
710243120421303
oct1370560507650
9322480117202
10102102110120
113a334a8559a
1217955959348
139822188b9a
144d282d9b3a
1529c8a6c115
hex17c5c28fa8

102102110120 has 32 divisors (see below), whose sum is σ = 230260340520. Its totient is φ = 40746516480.

The previous prime is 102102110107. The next prime is 102102110153. The reversal of 102102110120 is 21011201201.

It can be written as a sum of positive squares in 4 ways, for example, as 27408126916 + 74693983204 = 165554^2 + 273302^2 .

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 7 ways as a sum of consecutive naturals, for example, 2930201 + ... + 2964840.

Almost surely, 2102102110120 is an apocalyptic number.

102102110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102110120 is an abundant number, since it is smaller than the sum of its proper divisors (128158230400).

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

102102110120 is a wasteful number, since it uses less digits than its factorization.

102102110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895485 (or 5895481 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102102110120 its reverse (21011201201), we get a palindrome (123113311321).

The spelling of 102102110120 in words is "one hundred two billion, one hundred two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 433 866 1732 2165 3464 4330 8660 17320 5895041 11790082 23580164 29475205 47160328 58950410 117900820 235801640 2552552753 5105105506 10210211012 12762763765 20420422024 25525527530 51051055060 102102110120