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120431242431 = 32731063172441
BaseRepresentation
bin111000000101001000…
…0101110110010111111
3102111212001121222220100
41300022100232302333
53433120344224211
6131154135252143
711462253445653
oct1601220566277
9374761558810
10120431242431
1147090329a25
121b41021a053
13b4836472c6
145b86720a63
1531ecc8b156
hex1c0a42ecbf

120431242431 has 24 divisors (see below), whose sum is σ = 176506113056. Its totient is φ = 79112712960.

The previous prime is 120431242387. The next prime is 120431242483. The reversal of 120431242431 is 134242134021.

120431242431 is a `hidden beast` number, since 1 + 204 + 3 + 1 + 2 + 424 + 31 = 666.

It is not a de Polignac number, because 120431242431 - 211 = 120431240383 is a prime.

It is a super-2 number, since 2×1204312424312 (a number of 23 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 = 120431242395 and 120431242404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120431342431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612171 + ... + 784611.

Almost surely, 2120431242431 is an apocalyptic number.

120431242431 is a deficient number, since it is larger than the sum of its proper divisors (56074870625).

120431242431 is a wasteful number, since it uses less digits than its factorization.

120431242431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173583 (or 173580 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 120431242431 its reverse (134242134021), we get a palindrome (254673376452).

The spelling of 120431242431 in words is "one hundred twenty billion, four hundred thirty-one million, two hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 73 219 657 1063 3189 9567 77599 172441 232797 517323 698391 1551969 12588193 37764579 113293737 183304783 549914349 1649743047 13381249159 40143747477 120431242431