Search a number
-
+
10606011012 = 22322719911097
BaseRepresentation
bin10011110000010101…
…01110001010000100
31000101011002011221200
421320022232022010
5133210114323022
64512231342500
7523553414622
oct117012561204
930334064850
1010606011012
1145528a9063
12207bb21a30
13100040c07c
14728832512
154211b6bac
hex2782ae284

10606011012 has 72 divisors (see below), whose sum is σ = 26960274432. Its totient is φ = 3515529600.

The previous prime is 10606011011. The next prime is 10606011019. The reversal of 10606011012 is 21011060601.

10606011012 is a `hidden beast` number, since 1 + 0 + 60 + 601 + 1 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×106060110122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10606011011) 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, 9667648 + ... + 9668744.

It is an arithmetic number, because the mean of its divisors is an integer number (374448256).

Almost surely, 210606011012 is an apocalyptic number.

10606011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10606011012 is an abundant number, since it is smaller than the sum of its proper divisors (16354263420).

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

10606011012 is a wasteful number, since it uses less digits than its factorization.

10606011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10606011012 its reverse (21011060601), we get a palindrome (31617071613).

The spelling of 10606011012 in words is "ten billion, six hundred six million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 271 542 813 991 1084 1097 1626 1982 2194 2439 2973 3252 3291 3964 4388 4878 5946 6582 8919 9756 9873 11892 13164 17838 19746 35676 39492 268561 297287 537122 594574 805683 891861 1074244 1087127 1189148 1611366 1783722 2174254 2417049 2675583 3222732 3261381 3567444 4348508 4834098 5351166 6522762 9668196 9784143 10702332 13045524 19568286 39136572 294611417 589222834 883834251 1178445668 1767668502 2651502753 3535337004 5303005506 10606011012