Search a number
-
+
10000010120 = 235733424661
BaseRepresentation
bin10010101000000110…
…00000101110001000
3221210220210011000012
421110003000232020
5130440000310440
64332142531052
7502544453312
oct112403005610
927726704005
1010000010120
114271821681
121b30b96a88
13c349c1c69
146ac1667b2
153d7db0e65
hex2540c0b88

10000010120 has 32 divisors (see below), whose sum is σ = 22808248920. Its totient is φ = 3945208320.

The previous prime is 10000010117. The next prime is 10000010149. The reversal of 10000010120 is 2101000001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8097480196 + 1902529924 = 89986^2 + 43618^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1709411 + ... + 1715250.

Almost surely, 210000010120 is an apocalyptic number.

10000010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000010120 is an abundant number, since it is smaller than the sum of its proper divisors (12808238800).

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

10000010120 is a wasteful number, since it uses less digits than its factorization.

10000010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424745 (or 3424741 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10000010120 its reverse (2101000001), we get a palindrome (12101010121).

The spelling of 10000010120 in words is "ten billion, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 3424661 6849322 13698644 17123305 27397288 34246610 68493220 136986440 250000253 500000506 1000001012 1250001265 2000002024 2500002530 5000005060 10000010120