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131141413102310 = 251359914991123487
BaseRepresentation
bin11101110100010110111101…
…010101111110001011100110
3122012022222220120010121221122
4131310112331111332023212
5114142110103223233220
61142525311122013542
736423440320042562
oct3564267525761346
9565288816117848
10131141413102310
1138870840934a06
1212860101aa72b2
1358237750cb110
1424553c77966a2
151026450b13425
hex7745bd57e2e6

131141413102310 has 64 divisors (see below), whose sum is σ = 254807078400000. Its totient is φ = 48308316131712.

The previous prime is 131141413102267. The next prime is 131141413102313. The reversal of 131141413102310 is 13201314141131.

It is a happy number.

It is a super-2 number, since 2×1311414131023102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 131141413102310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141413102313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116165387 + ... + 117288873.

It is an arithmetic number, because the mean of its divisors is an integer number (3981360600000).

Almost surely, 2131141413102310 is an apocalyptic number.

131141413102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131141413102310 is a deficient number, since it is larger than the sum of its proper divisors (123665665297690).

131141413102310 is a wasteful number, since it uses less digits than its factorization.

131141413102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125605.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 131141413102310 its reverse (13201314141131), we get a palindrome (144342727243441).

The spelling of 131141413102310 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred thirteen million, one hundred two thousand, three hundred ten".

Divisors: 1 2 5 10 13 26 65 130 599 1198 1499 2995 2998 5990 7495 7787 14990 15574 19487 38935 38974 77870 97435 194870 897901 1123487 1795802 2246974 4489505 5617435 8979010 11234870 11672713 14605331 23345426 29210662 58363565 73026655 116727130 146053310 672968713 1345937426 1684107013 3364843565 3368214026 6729687130 8420535065 8748593269 16841070130 17497186538 21893391169 43742966345 43786782338 87485932690 109466955845 218933911690 1008780100787 2017560201574 5043900503935 10087801007870 13114141310231 26228282620462 65570706551155 131141413102310