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131201142401020 = 22510607618464893
BaseRepresentation
bin11101110101001110100101…
…011111001010011111111100
3122012112201002012100101100011
4131311032211133022133330
5114144044414423313040
61143012550040113004
736430653421515646
oct3565164537123774
9565481065311304
10131201142401020
113889410152a09a
121286b7b1165764
1358292a3748213
142458252301896
151027c996e33ea
hex7753a57ca7fc

131201142401020 has 24 divisors (see below), whose sum is σ = 275548375013184. Its totient is φ = 52475509156416.

The previous prime is 131201142400981. The next prime is 131201142401033. The reversal of 131201142401020 is 20104241102131.

It is a super-3 number, since 3×1312011424010203 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131201142400982 and 131201142401000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309020307 + ... + 309444586.

It is an arithmetic number, because the mean of its divisors is an integer number (11481182292216).

Almost surely, 2131201142401020 is an apocalyptic number.

131201142401020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201142401020 is an abundant number, since it is smaller than the sum of its proper divisors (144347232612164).

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

131201142401020 is a wasteful number, since it uses less digits than its factorization.

131201142401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618475509 (or 618475507 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 131201142401020 its reverse (20104241102131), we get a palindrome (151305383503151).

The spelling of 131201142401020 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, four hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 10607 21214 42428 53035 106070 212140 618464893 1236929786 2473859572 3092324465 6184648930 12369297860 6560057120051 13120114240102 26240228480204 32800285600255 65600571200510 131201142401020