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131030100110 = 25713397362693
BaseRepresentation
bin111101000001000000…
…0001010100010001110
3110112012201020202022202
41322002000022202032
54121322201200420
6140105553441502
712316022321450
oct1720200124216
9415181222282
10131030100110
115062a091638
1221489870292
13c482420420
1464b02102d0
15361d4dd575
hex1e8200a88e

131030100110 has 64 divisors (see below), whose sum is σ = 291014059392. Its totient is φ = 41364297216.

The previous prime is 131030100107. The next prime is 131030100139. The reversal of 131030100110 is 11001030131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131030100091 and 131030100100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179924 + ... + 542616.

It is an arithmetic number, because the mean of its divisors is an integer number (4547094678).

Almost surely, 2131030100110 is an apocalyptic number.

131030100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131030100110 is an abundant number, since it is smaller than the sum of its proper divisors (159983959282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131030100110 is a wasteful number, since it uses less digits than its factorization.

131030100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363117.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 131030100110 its reverse (11001030131), we get a palindrome (142031130241).

The spelling of 131030100110 in words is "one hundred thirty-one billion, thirty million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 397 455 794 910 1985 2779 3970 5161 5558 10322 13895 25805 27790 36127 51610 72254 180635 361270 362693 725386 1813465 2538851 3626930 4715009 5077702 9430018 12694255 23575045 25388510 33005063 47150090 66010126 143989121 165025315 287978242 330050630 719945605 1007923847 1439891210 1871858573 2015847694 3743717146 5039619235 9359292865 10079238470 13103010011 18718585730 26206020022 65515050055 131030100110