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162117131 = 1133492
BaseRepresentation
bin10011010100110…
…11011000001011
3102022001101220012
421222123120023
5313000222011
624030422135
74005654461
oct1152333013
9368041805
10162117131
1183569000
124636194b
13277822c7
1417760831
15e374a8b
hex9a9b60b

162117131 has 12 divisors (see below), whose sum is σ = 178829064. Its totient is φ = 146956920.

The previous prime is 162117127. The next prime is 162117161. The reversal of 162117131 is 131711261.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

162117131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 162117131 - 22 = 162117127 is a prime.

It is a super-2 number, since 2×1621171312 = 52563928327342322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 162117097 and 162117106.

It is not an unprimeable number, because it can be changed into a prime (162117161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464345 + ... + 464693.

It is an arithmetic number, because the mean of its divisors is an integer number (14902422).

Almost surely, 2162117131 is an apocalyptic number.

162117131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

162117131 is a deficient number, since it is larger than the sum of its proper divisors (16711933).

162117131 is an frugal number, since it uses more digits than its factorization.

162117131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 360 counting only the distinct ones).

The product of its digits is 252, while the sum is 23.

The square root of 162117131 is about 12732.5225701744. The cubic root of 162117131 is about 545.2675296249.

Adding to 162117131 its reverse (131711261), we get a palindrome (293828392).

The spelling of 162117131 in words is "one hundred sixty-two million, one hundred seventeen thousand, one hundred thirty-one".

Divisors: 1 11 121 349 1331 3839 42229 121801 464519 1339811 14737921 162117131