Search a number
-
+
10006061100 = 2235274764791
BaseRepresentation
bin10010101000110100…
…00110000000101100
3221211100011120101120
421110122012000230
5130443022423400
64332520340540
7502650054540
oct112432060054
927740146346
1010006061100
114275184892
121b33014750
13c36030219
146acc9da20
153d86a8ca0
hex25468602c

10006061100 has 72 divisors (see below), whose sum is σ = 33086715648. Its totient is φ = 2287099200.

The previous prime is 10006061083. The next prime is 10006061101. The reversal of 10006061100 is 116060001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10006061100.

It is not an unprimeable number, because it can be changed into a prime (10006061101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2380296 + ... + 2384495.

Almost surely, 210006061100 is an apocalyptic number.

10006061100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006061100 is an abundant number, since it is smaller than the sum of its proper divisors (23080654548).

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

10006061100 is a wasteful number, since it uses less digits than its factorization.

10006061100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764815 (or 4764808 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 10006061100 in words is "ten billion, six million, sixty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 4764791 9529582 14294373 19059164 23823955 28588746 33353537 47647910 57177492 66707074 71471865 95295820 100060611 119119775 133414148 142943730 166767685 200121222 238239550 285887460 333535370 357359325 400242444 476479100 500303055 667070740 714718650 833838425 1000606110 1429437300 1667676850 2001212220 2501515275 3335353700 5003030550 10006061100