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131214110032 = 2440120451077
BaseRepresentation
bin111101000110011111…
…0000110110101010000
3110112200112111102111001
41322030332012311100
54122211303010112
6140140125431344
712323415350515
oct1721476066520
9415615442431
10131214110032
1150713a42a55
122151b40b554
13c4b1599535
1464ca82d30c
15362e739c57
hex1e8cf86d50

131214110032 has 20 divisors (see below), whose sum is σ = 254861334036. Its totient is φ = 65443443200.

The previous prime is 131214109997. The next prime is 131214110057. The reversal of 131214110032 is 230011412131.

It can be written as a sum of positive squares in 2 ways, for example, as 102295066896 + 28919043136 = 319836^2 + 170056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131214109991 and 131214110009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10219123 + ... + 10231954.

Almost surely, 2131214110032 is an apocalyptic number.

It is an amenable number.

131214110032 is a deficient number, since it is larger than the sum of its proper divisors (123647224004).

131214110032 is a wasteful number, since it uses less digits than its factorization.

131214110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20451486 (or 20451480 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 131214110032 its reverse (230011412131), we get a palindrome (361225522163).

The spelling of 131214110032 in words is "one hundred thirty-one billion, two hundred fourteen million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 401 802 1604 3208 6416 20451077 40902154 81804308 163608616 327217232 8200881877 16401763754 32803527508 65607055016 131214110032