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131044881100 = 22527631296683
BaseRepresentation
bin111101000001011100…
…0100011001011001100
3110112020202001201000211
41322002320203023030
54121334442143400
6140111242332204
712316262052640
oct1720270431314
9415222051024
10131044881100
1150637467831
12214927ba064
13c4854c7183
1464b217ac20
15361e95cdba
hex1e82e232cc

131044881100 has 72 divisors (see below), whose sum is σ = 325507443968. Its totient is φ = 44858318400.

The previous prime is 131044881059. The next prime is 131044881101. The reversal of 131044881100 is 1188440131.

It is not an unprimeable number, because it can be changed into a prime (131044881101) by changing a digit.

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, 293359 + ... + 590041.

Almost surely, 2131044881100 is an apocalyptic number.

131044881100 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 131044881100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162753721984).

131044881100 is an abundant number, since it is smaller than the sum of its proper divisors (194462562868).

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

131044881100 is a wasteful number, since it uses less digits than its factorization.

131044881100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297335 (or 297328 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The spelling of 131044881100 in words is "one hundred thirty-one billion, forty-four million, eight hundred eighty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 631 700 1262 2524 3155 4417 6310 8834 12620 15775 17668 22085 31550 44170 63100 88340 110425 220850 296683 441700 593366 1186732 1483415 2076781 2966830 4153562 5933660 7417075 8307124 10383905 14834150 20767810 29668300 41535620 51919525 103839050 187206973 207678100 374413946 748827892 936034865 1310448811 1872069730 2620897622 3744139460 4680174325 5241795244 6552244055 9360348650 13104488110 18720697300 26208976220 32761220275 65522440550 131044881100