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42113130431 = 192169768743
BaseRepresentation
bin100111001110001000…
…110101111110111111
311000200221021200111112
4213032020311332333
51142221430133211
631202502312235
73020413462631
oct471610657677
9130627250445
1042113130431
1116950845229
1281b372867b
133c81ab9ab8
1420770b4a51
15116729488b
hex9ce235fbf

42113130431 has 12 divisors (see below), whose sum is σ = 44473105872. Its totient is φ = 39872559744.

The previous prime is 42113130427. The next prime is 42113130503. The reversal of 42113130431 is 13403131124.

It is not a de Polignac number, because 42113130431 - 22 = 42113130427 is a prime.

It is a super-2 number, since 2×421131304312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42113130397 and 42113130406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42113136431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 578246 + ... + 646988.

It is an arithmetic number, because the mean of its divisors is an integer number (3706092156).

Almost surely, 242113130431 is an apocalyptic number.

42113130431 is a deficient number, since it is larger than the sum of its proper divisors (2359975441).

42113130431 is a wasteful number, since it uses less digits than its factorization.

42113130431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70478 (or 70459 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 42113130431 its reverse (13403131124), we get a palindrome (55516261555).

The spelling of 42113130431 in words is "forty-two billion, one hundred thirteen million, one hundred thirty thousand, four hundred thirty-one".

Divisors: 1 19 361 1697 32243 68743 612617 1306117 24816223 116656871 2216480549 42113130431