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131201142023420 = 22573191293685683
BaseRepresentation
bin11101110101001110100101…
…011101101110010011111100
3122012112201002011122012100222
4131311032211131232103330
5114144044414324222140
61143012550024040512
736430653415354040
oct3565164535562374
9565481064565328
10131201142023420
11388941012a1427
121286b7b1003138
1358292a36453a1
142458252244020
151027c9966b5b5
hex7753a576e4fc

131201142023420 has 48 divisors (see below), whose sum is σ = 314981420318208. Its totient is φ = 44969151627840.

The previous prime is 131201142023381. The next prime is 131201142023459. The reversal of 131201142023420 is 24320241102131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131201142023381) and next prime (131201142023459).

It is a self number, because there is not a number n which added to its sum of digits gives 131201142023420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146396102 + ... + 147289581.

It is an arithmetic number, because the mean of its divisors is an integer number (6562112923296).

Almost surely, 2131201142023420 is an apocalyptic number.

131201142023420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201142023420 is an abundant number, since it is smaller than the sum of its proper divisors (183780278294788).

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

131201142023420 is a wasteful number, since it uses less digits than its factorization.

131201142023420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293688890 (or 293688888 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131201142023420 its reverse (24320241102131), we get a palindrome (155521383125551).

The spelling of 131201142023420 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3191 6382 12764 15955 22337 31910 44674 63820 89348 111685 223370 446740 293685683 587371366 1174742732 1468428415 2055799781 2936856830 4111599562 5873713660 8223199124 10278998905 20557997810 41115995620 937151014453 1874302028906 3748604057812 4685755072265 6560057101171 9371510144530 13120114202342 18743020289060 26240228404684 32800285505855 65600571011710 131201142023420