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131011443110140 = 225192296312385947
BaseRepresentation
bin11101110010011101111010…
…100001110011000011111100
3122011212120102201122221022221
4131302131322201303003330
5114132442413414011030
61142345454234015124
736411156456245605
oct3562357241630374
9564776381587287
10131011443110140
11388207061a113a
121283aa8b2774a4
135814431501cc8
14244cdb829cdac
151022d9572ae7a
hex77277a8730fc

131011443110140 has 96 divisors (see below), whose sum is σ = 291329977075200. Its totient is φ = 49351288815360.

The previous prime is 131011443110117. The next prime is 131011443110209. The reversal of 131011443110140 is 41011344110131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53716647 + ... + 56102593.

It is an arithmetic number, because the mean of its divisors is an integer number (3034687261200).

Almost surely, 2131011443110140 is an apocalyptic number.

131011443110140 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 131011443110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145664988537600).

131011443110140 is an abundant number, since it is smaller than the sum of its proper divisors (160318533965060).

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

131011443110140 is a wasteful number, since it uses less digits than its factorization.

131011443110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386835 (or 2386833 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 131011443110140 its reverse (41011344110131), we get a palindrome (172022787220271).

Subtracting from 131011443110140 its reverse (41011344110131), we obtain a palindrome (90000099000009).

The spelling of 131011443110140 in words is "one hundred thirty-one trillion, eleven billion, four hundred forty-three million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 229 380 458 631 916 1145 1262 2290 2524 3155 4351 4580 6310 8702 11989 12620 17404 21755 23978 43510 47956 59945 87020 119890 144499 239780 288998 577996 722495 1444990 2385947 2745481 2889980 4771894 5490962 9543788 10981924 11929735 13727405 23859470 27454810 45332993 47718940 54909620 90665986 181331972 226664965 453329930 546381863 906659860 1092763726 1505532557 2185527452 2731909315 3011065114 5463818630 6022130228 7527662785 10381255397 10927637260 15055325570 20762510794 28605118583 30110651140 41525021588 51906276985 57210237166 103812553970 114420474332 143025592915 207625107940 286051185830 344766955553 572102371660 689533911106 1379067822212 1723834777765 3447669555530 6550572155507 6895339111060 13101144311014 26202288622028 32752860777535 65505721555070 131011443110140