Search a number
-
+
10120010355 = 3257132471309
BaseRepresentation
bin10010110110011001…
…10001101001110011
3222010021120210101100
421123030301221303
5131211210312410
64352110535443
7505532445240
oct113314615163
928107523340
1010120010355
114323533624
121b65207583
13c53819010
146c00825c7
153e36b68c0
hex25b331a73

10120010355 has 48 divisors (see below), whose sum is σ = 21589364160. Its totient is φ = 4270420224.

The previous prime is 10120010293. The next prime is 10120010389. The reversal of 10120010355 is 55301002101.

10120010355 is a `hidden beast` number, since 101 + 200 + 10 + 355 = 666.

It is not a de Polignac number, because 10120010355 - 211 = 10120008307 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1231560 + ... + 1239749.

It is an arithmetic number, because the mean of its divisors is an integer number (449778420).

Almost surely, 210120010355 is an apocalyptic number.

10120010355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10120010355 is an abundant number, since it is smaller than the sum of its proper divisors (11469353805).

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

10120010355 is a wasteful number, since it uses less digits than its factorization.

10120010355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471340 (or 2471337 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10120010355 its reverse (55301002101), we get a palindrome (65421012456).

The spelling of 10120010355 in words is "ten billion, one hundred twenty million, ten thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 2471309 7413927 12356545 17299163 22241781 32127017 37069635 51897489 86495815 96381051 111208905 155692467 160635085 224889119 259487445 289143153 481905255 674667357 778462335 1124445595 1445715765 2024002071 3373336785 10120010355