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2042251431 = 31127377069
BaseRepresentation
bin111100110111010…
…0100100010100111
312021022212010021220
41321232210202213
513140304021211
6534352311423
7101415564543
oct17156444247
95238763256
102042251431
11958885800
1248bb42573
1326714b8cc
14155336a23
15be45b806
hex79ba48a7

2042251431 has 24 divisors (see below), whose sum is σ = 3034091760. Its totient is φ = 1220757120.

The previous prime is 2042251403. The next prime is 2042251439. The reversal of 2042251431 is 1341522402.

It is not a de Polignac number, because 2042251431 - 211 = 2042249383 is a prime.

It is a super-3 number, since 3×20422514313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042251439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12036 + ... + 65033.

It is an arithmetic number, because the mean of its divisors is an integer number (126420490).

Almost surely, 22042251431 is an apocalyptic number.

2042251431 is a deficient number, since it is larger than the sum of its proper divisors (991840329).

2042251431 is a wasteful number, since it uses less digits than its factorization.

2042251431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77167 (or 77156 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2042251431 is about 45191.2760496979. The cubic root of 2042251431 is about 1268.7315400390.

Adding to 2042251431 its reverse (1341522402), we get a palindrome (3383773833).

The spelling of 2042251431 in words is "two billion, forty-two million, two hundred fifty-one thousand, four hundred thirty-one".

Divisors: 1 3 11 33 73 121 219 363 803 2409 8833 26499 77069 231207 847759 2543277 5626037 9325349 16878111 27976047 61886407 185659221 680750477 2042251431