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131214003103141 = 7173741726854767
BaseRepresentation
bin11101110101011010100100…
…000010110110010110100101
3122012120221021111000202000221
4131311122210002312112211
5114144302234243300031
61143022514133404341
736431620213626220
oct3565324402662645
9565527244022027
10131214003103141
1138899601011a32
12128721a01996b1
13582a572cc732a
142458b1236a5b7
15102829d7cba11
hex7756a40b65a5

131214003103141 has 32 divisors (see below), whose sum is σ = 167048670200832. Its totient is φ = 100480402851840.

The previous prime is 131214003103103. The next prime is 131214003103181. The reversal of 131214003103141 is 141301300412131.

It is a cyclic number.

It is not a de Polignac number, because 131214003103141 - 27 = 131214003103013 is a prime.

It is a super-2 number, since 2×1312140031031412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131214003103181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363246861 + ... + 363607906.

It is an arithmetic number, because the mean of its divisors is an integer number (5220270943776).

Almost surely, 2131214003103141 is an apocalyptic number.

It is an amenable number.

131214003103141 is a deficient number, since it is larger than the sum of its proper divisors (35834667097691).

131214003103141 is a wasteful number, since it uses less digits than its factorization.

131214003103141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726854869.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 131214003103141 its reverse (141301300412131), we get a palindrome (272515303515272).

The spelling of 131214003103141 in words is "one hundred thirty-one trillion, two hundred fourteen billion, three million, one hundred three thousand, one hundred forty-one".

Divisors: 1 7 17 37 41 119 259 287 629 697 1517 4403 4879 10619 25789 180523 726854767 5087983369 12356531039 26893626379 29801045447 86495717273 188255384653 208607318129 457191648443 506617772599 1102638681539 3200341539101 3546324408193 7718470770773 18744857586163 131214003103141