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31141014113 = 112257363753
BaseRepresentation
bin11101000000001001…
…100010101001100001
32222101021022102111002
4131000021202221201
51002234044422423
622150032001345
72151463152416
oct350011425141
988337272432
1031141014113
1112230321900
126051090255
132c238a6091
141715bc210d
15c23db2228
hex740262a61

31141014113 has 6 divisors (see below), whose sum is σ = 34229379282. Its totient is φ = 28310012720.

The previous prime is 31141014101. The next prime is 31141014167.

31141014113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 20063872609 + 11077141504 = 141647^2 + 105248^2 .

It is not a de Polignac number, because 31141014113 - 24 = 31141014097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31141016113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128681756 + ... + 128681997.

It is an arithmetic number, because the mean of its divisors is an integer number (5704896547).

Almost surely, 231141014113 is an apocalyptic number.

It is an amenable number.

31141014113 is a deficient number, since it is larger than the sum of its proper divisors (3088365169).

31141014113 is a wasteful number, since it uses less digits than its factorization.

31141014113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257363775 (or 257363764 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 311410 and 14113, that added together give a palindrome (325523).

The spelling of 31141014113 in words is "thirty-one billion, one hundred forty-one million, fourteen thousand, one hundred thirteen".

Divisors: 1 11 121 257363753 2831001283 31141014113