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131301100112 = 24721313039887
BaseRepresentation
bin111101001001000100…
…1111100101001010000
3110112220121011222102212
41322102021330221100
54122401040200422
6140152514131252
712325522636100
oct1722211745120
9415817158385
10131301100112
1150759058986
1221544580b28
13c4c6606460
1464d81d5200
1536371be9e2
hex1e9227ca50

131301100112 has 120 divisors (see below), whose sum is σ = 318970584576. Its totient is φ = 51898178304.

The previous prime is 131301100087. The next prime is 131301100127. The reversal of 131301100112 is 211001103131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13275233 + ... + 13285119.

Almost surely, 2131301100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131301100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159485292288).

131301100112 is an abundant number, since it is smaller than the sum of its proper divisors (187669484464).

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

131301100112 is a wasteful number, since it uses less digits than its factorization.

131301100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11225 (or 11212 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131301100112 its reverse (211001103131), we get a palindrome (342302203243).

The spelling of 131301100112 in words is "one hundred thirty-one billion, three hundred one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1303 1456 2548 2606 5096 5212 9121 9887 10192 10424 16939 18242 19774 20848 33878 36484 39548 63847 67756 69209 72968 79096 118573 127694 128531 135512 138418 145936 158192 237146 255388 257062 271024 276836 474292 484463 510776 514124 553672 830011 899717 948584 968926 1021552 1028248 1107344 1660022 1799434 1897168 1937852 2056496 3320044 3598868 3875704 6298019 6640088 7197736 7751408 12596038 12882761 13280176 14395472 25192076 25765522 50384152 51531044 90179327 100768304 103062088 167475893 180358654 206124176 334951786 360717308 631255289 669903572 721434616 1172331251 1262510578 1339807144 1442869232 2344662502 2525021156 2679614288 4689325004 5050042312 8206318757 9378650008 10100084624 16412637514 18757300016 32825275028 65650550056 131301100112