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14132032131 = 3721733171753
BaseRepresentation
bin11010010100101010…
…11011001010000011
31100110212220121121110
431022111123022003
5212420300012011
610254150254403
71010130201600
oct151225331203
940425817543
1014132032131
115aa21889a8
1228a4957403
131442a895b9
14980c456a7
1557aa13ba6
hex34a55b283

14132032131 has 48 divisors (see below), whose sum is σ = 22127930784. Its totient is φ = 7998875136.

The previous prime is 14132032129. The next prime is 14132032133. The reversal of 14132032131 is 13123023141.

It is an interprime number because it is at equal distance from previous prime (14132032129) and next prime (14132032133).

It is not a de Polignac number, because 14132032131 - 21 = 14132032129 is a prime.

It is a super-2 number, since 2×141320321312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 14132032098 and 14132032107.

It is not an unprimeable number, because it can be changed into a prime (14132032133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8060751 + ... + 8062503.

It is an arithmetic number, because the mean of its divisors is an integer number (460998558).

Almost surely, 214132032131 is an apocalyptic number.

14132032131 is a deficient number, since it is larger than the sum of its proper divisors (7995898653).

14132032131 is a wasteful number, since it uses less digits than its factorization.

14132032131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 14132032131 its reverse (13123023141), we get a palindrome (27255055272).

The spelling of 14132032131 in words is "fourteen billion, one hundred thirty-two million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 173 317 519 951 1211 1753 2219 3633 5259 6657 8477 12271 15533 25431 36813 46599 54841 85897 164523 257691 303269 383887 555701 909807 1151661 1667103 2122883 2687209 3889907 6368649 8061627 11669721 14860181 27229349 44580543 81688047 96136273 288408819 672953911 2018861733 4710677377 14132032131