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214232431131 = 32283382122013
BaseRepresentation
bin1100011110000100111…
…1110111101000011011
3202110222020010002122100
43013201033313220123
512002222000244011
6242230024254443
721322610422215
oct3074117675033
9673866102570
10214232431131
1182945693384
123562a011423
1317281b2ba64
14a5243bd5b5
15588cbbad56
hex31e13f7a1b

214232431131 has 24 divisors (see below), whose sum is σ = 310635679536. Its totient is φ = 142273241280.

The previous prime is 214232431117. The next prime is 214232431157. The reversal of 214232431131 is 131134232412.

214232431131 is a `hidden beast` number, since 21 + 4 + 2 + 324 + 311 + 3 + 1 = 666.

It is not a de Polignac number, because 214232431131 - 29 = 214232430619 is a prime.

It is a super-2 number, since 2×2142324311312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214232431095 and 214232431104.

It is not an unprimeable number, because it can be changed into a prime (214232431181) 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, 9721081 + ... + 9743093.

It is an arithmetic number, because the mean of its divisors is an integer number (12943153314).

Almost surely, 2214232431131 is an apocalyptic number.

214232431131 is a deficient number, since it is larger than the sum of its proper divisors (96403248405).

214232431131 is a wasteful number, since it uses less digits than its factorization.

214232431131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26123 (or 26120 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 214232431131 its reverse (131134232412), we get a palindrome (345366663543).

The spelling of 214232431131 in words is "two hundred fourteen billion, two hundred thirty-two million, four hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 283 849 2547 3821 11463 22013 34389 66039 198117 1081343 3244029 6229679 9732087 18689037 56067111 84111673 252335019 757005057 23803603459 71410810377 214232431131