Search a number
-
+
120100102010 = 257335014607
BaseRepresentation
bin110111111011010000…
…1100001111101111010
3102110222222112022122022
41233312201201331322
53431431111231020
6131101225554442
711451123011000
oct1576641417572
9373888468568
10120100102010
1146a30416259
121b339345a22
13b42cb65425
145b54762a70
1531cdb7a625
hex1bf6861f7a

120100102010 has 32 divisors (see below), whose sum is σ = 252105177600. Its totient is φ = 41177176656.

The previous prime is 120100102007. The next prime is 120100102037. The reversal of 120100102010 is 10201001021.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17503874 + ... + 17510733.

It is an arithmetic number, because the mean of its divisors is an integer number (7878286800).

Almost surely, 2120100102010 is an apocalyptic number.

120100102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120100102010 is an abundant number, since it is smaller than the sum of its proper divisors (132005075590).

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

120100102010 is an equidigital number, since it uses as much as digits as its factorization.

120100102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35014635 (or 35014621 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120100102010 its reverse (10201001021), we get a palindrome (130301103031).

The spelling of 120100102010 in words is "one hundred twenty billion, one hundred million, one hundred two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 3430 35014607 70029214 175073035 245102249 350146070 490204498 1225511245 1715715743 2451022490 3431431486 8578578715 12010010201 17157157430 24020020402 60050051005 120100102010