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131020443040242 = 23721572838520799
BaseRepresentation
bin11101110010100110010010…
…111101110011100111110010
3122011220102122221121202110110
4131302212102331303213302
5114133114331404241432
61142353543253442150
736411625501346100
oct3562462275634762
9564812587552413
10131020443040242
11388245044448a8
1212840781340356
135815236c59532
14244d5cd696c70
1510232208e1dcc
hex772992f739f2

131020443040242 has 48 divisors (see below), whose sum is σ = 306764619897600. Its totient is φ = 37195976536992.

The previous prime is 131020443040177. The next prime is 131020443040261. The reversal of 131020443040242 is 242040344020131.

It is a super-2 number, since 2×1310204430402422 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419214242 + ... + 1419306557.

It is an arithmetic number, because the mean of its divisors is an integer number (6390929581200).

Almost surely, 2131020443040242 is an apocalyptic number.

131020443040242 is an abundant number, since it is smaller than the sum of its proper divisors (175744176857358).

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

131020443040242 is a wasteful number, since it uses less digits than its factorization.

131020443040242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838520975 (or 2838520968 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 131020443040242 its reverse (242040344020131), we get a palindrome (373060787060373).

The spelling of 131020443040242 in words is "one hundred thirty-one trillion, twenty billion, four hundred forty-three million, forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 157 294 314 471 942 1099 2198 3297 6594 7693 15386 23079 46158 2838520799 5677041598 8515562397 17031124794 19869645593 39739291186 59608936779 119217873558 139087519151 278175038302 417262557453 445647765443 834525114906 891295530886 1336943296329 2673886592658 3119534358101 6239068716202 9358603074303 18717206148606 21836740506707 43673481013414 65510221520121 131020443040242