Search a number
-
+
16122311145 = 335292740801
BaseRepresentation
bin11110000001111011…
…01111000111101001
31112121120222021011000
433000331233013221
5231004302424040
611223445025213
71110345245403
oct170075570751
945546867130
1016122311145
116923695a96
12315b3b5209
13169c20c0a5
14acd2cdb73
15645606130
hex3c0f6f1e9

16122311145 has 32 divisors (see below), whose sum is σ = 28672381440. Its totient is φ = 8595417600.

The previous prime is 16122311123. The next prime is 16122311189. The reversal of 16122311145 is 54111322161.

16122311145 is a `hidden beast` number, since 1 + 612 + 2 + 3 + 1 + 1 + 1 + 45 = 666.

It is not a de Polignac number, because 16122311145 - 25 = 16122311113 is a prime.

It is a super-2 number, since 2×161223111452 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374745 + ... + 415545.

It is an arithmetic number, because the mean of its divisors is an integer number (896011920).

Almost surely, 216122311145 is an apocalyptic number.

16122311145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16122311145 is a deficient number, since it is larger than the sum of its proper divisors (12550070295).

16122311145 is a wasteful number, since it uses less digits than its factorization.

16122311145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43742 (or 43736 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The spelling of 16122311145 in words is "sixteen billion, one hundred twenty-two million, three hundred eleven thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 2927 8781 14635 26343 40801 43905 79029 122403 131715 204005 367209 395145 612015 1101627 1836045 5508135 119424527 358273581 597122635 1074820743 1791367905 3224462229 5374103715 16122311145