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131420101100 = 225231239177379
BaseRepresentation
bin111101001100100111…
…1111001100111101100
3110120012220002212002212
41322121033321213230
54123122021213400
6140212404505552
712331466266541
oct1723117714754
9416186085085
10131420101100
115080a248102
12215783ab2b8
13c515170742
146509d30bc8
153642879335
hex1e993f99ec

131420101100 has 72 divisors (see below), whose sum is σ = 295614412800. Its totient is φ = 50659156800.

The previous prime is 131420101027. The next prime is 131420101121. The reversal of 131420101100 is 1101024131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652211 + ... + 829589.

Almost surely, 2131420101100 is an apocalyptic number.

131420101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131420101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147807206400).

131420101100 is an abundant number, since it is smaller than the sum of its proper divisors (164194311700).

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

131420101100 is a wasteful number, since it uses less digits than its factorization.

131420101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177663 (or 177656 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 131420101100 its reverse (1101024131), we get a palindrome (132521125231).

The spelling of 131420101100 in words is "one hundred thirty-one billion, four hundred twenty million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 239 310 478 620 775 956 1195 1550 2390 3100 4780 5975 7409 11950 14818 23900 29636 37045 74090 148180 177379 185225 354758 370450 709516 740900 886895 1773790 3547580 4434475 5498749 8868950 10997498 17737900 21994996 27493745 42393581 54987490 84787162 109974980 137468725 169574324 211967905 274937450 423935810 549874900 847871620 1059839525 1314201011 2119679050 2628402022 4239358100 5256804044 6571005055 13142010110 26284020220 32855025275 65710050550 131420101100