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131110097076 = 22327839620117
BaseRepresentation
bin111101000011011000…
…1010101000010110100
3110112102021210000112100
41322012301111002310
54122003141101301
6140121532222100
712321013302660
oct1720661250264
9415367700470
10131110097076
1150670260532
12214b060a930
13c495b7c2ca
1464baab58a0
153625541286
hex1e86c550b4

131110097076 has 72 divisors (see below), whose sum is σ = 379214559360. Its totient is φ = 37415318976.

The previous prime is 131110097057. The next prime is 131110097077. The reversal of 131110097076 is 670790011131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131110097076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131110097077) 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, 98631 + ... + 521486.

It is an arithmetic number, because the mean of its divisors is an integer number (5266868880).

Almost surely, 2131110097076 is an apocalyptic number.

It is an amenable number.

131110097076 is an abundant number, since it is smaller than the sum of its proper divisors (248104462284).

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

131110097076 is a wasteful number, since it uses less digits than its factorization.

131110097076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620973 (or 620968 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 131110097076 in words is "one hundred thirty-one billion, one hundred ten million, ninety-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 839 1678 2517 3356 5034 5873 7551 10068 11746 15102 17619 23492 30204 35238 52857 70476 105714 211428 620117 1240234 1860351 2480468 3720702 4340819 5581053 7441404 8681638 11162106 13022457 17363276 22324212 26044914 39067371 52089828 78134742 156269484 520278163 1040556326 1560834489 2081112652 3121668978 3641947141 4682503467 6243337956 7283894282 9365006934 10925841423 14567788564 18730013868 21851682846 32777524269 43703365692 65555048538 131110097076