Search a number
-
+
34132100120 = 2352351362953
BaseRepresentation
bin11111110010011011…
…101000010000011000
310021002201120100010022
4133302123220100120
51024400304200440
623402521210012
72315553030656
oct376233502030
9107081510108
1034132100120
1113525754008
126746930908
1332ac489161
14191b147dd6
15d4b794cb5
hex7f26e8418

34132100120 has 32 divisors (see below), whose sum is σ = 76830102720. Its totient is φ = 13646995200.

The previous prime is 34132100113. The next prime is 34132100131. The reversal of 34132100120 is 2100123143.

It is a congruent number.

It is an unprimeable number.

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, 87437 + ... + 275516.

It is an arithmetic number, because the mean of its divisors is an integer number (2400940710).

Almost surely, 234132100120 is an apocalyptic number.

It is an amenable number.

34132100120 is an abundant number, since it is smaller than the sum of its proper divisors (42698002600).

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

34132100120 is a wasteful number, since it uses less digits than its factorization.

34132100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365315 (or 365311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 34132100120 its reverse (2100123143), we get a palindrome (36232223263).

The spelling of 34132100120 in words is "thirty-four billion, one hundred thirty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2351 4702 9404 11755 18808 23510 47020 94040 362953 725906 1451812 1814765 2903624 3629530 7259060 14518120 853302503 1706605006 3413210012 4266512515 6826420024 8533025030 17066050060 34132100120