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131010020110032 = 24371392805113483
BaseRepresentation
bin11101110010011100100101…
…101101011110111011010000
3122011212102202120001001011020
4131302130211231132323100
5114132432010122010112
61142345101122115440
736411106300040340
oct3562344555367320
9564772676031136
10131010020110032
1138820045a23098
121283a7527abb80
13581426575c6cb
14244ccc12c0d20
151022d1084148c
hex772725b5eed0

131010020110032 has 80 divisors (see below), whose sum is σ = 389574160657920. Its totient is φ = 37162143409536.

The previous prime is 131010020110031. The next prime is 131010020110103. The reversal of 131010020110032 is 230011020010131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131010020109993 and 131010020110020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010020110031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402510038 + ... + 1402603445.

It is an arithmetic number, because the mean of its divisors is an integer number (4869677008224).

Almost surely, 2131010020110032 is an apocalyptic number.

131010020110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131010020110032 is an abundant number, since it is smaller than the sum of its proper divisors (258564140547888).

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

131010020110032 is a wasteful number, since it uses less digits than its factorization.

131010020110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805113640 (or 2805113634 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131010020110032 its reverse (230011020010131), we get a palindrome (361021040120163).

Subtracting 131010020110032 from its reverse (230011020010131), we obtain a palindrome (99000999900099).

The spelling of 131010020110032 in words is "one hundred thirty-one trillion, ten billion, twenty million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 278 336 417 556 834 973 1112 1668 1946 2224 2919 3336 3892 5838 6672 7784 11676 15568 23352 46704 2805113483 5610226966 8415340449 11220453932 16830680898 19635794381 22440907864 33661361796 39271588762 44881815728 58907383143 67322723592 78543177524 117814766286 134645447184 157086355048 235629532572 314172710096 389910774137 471259065144 779821548274 942518130288 1169732322411 1559643096548 2339464644822 2729375418959 3119286193096 4678929289644 5458750837918 6238572386192 8188126256877 9357858579288 10917501675836 16376252513754 18715717158576 21835003351672 32752505027508 43670006703344 65505010055016 131010020110032