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991051431 = 31731273277
BaseRepresentation
bin111011000100100…
…011111010100111
32120001211121222120
4323010203322213
54012202121211
6242201401023
733362540526
oct7304437247
92501747876
10991051431
11469471677
12237a99173
1312a426086
149589c4bd
155c014d06
hex3b123ea7

991051431 has 48 divisors (see below), whose sum is σ = 1470815712. Its totient is φ = 591390720.

The previous prime is 991051429. The next prime is 991051459. The reversal of 991051431 is 134150199.

It is not a de Polignac number, because 991051431 - 21 = 991051429 is a prime.

It is a super-2 number, since 2×9910514312 = 1964365877774295522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 991051392 and 991051401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991056431) 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 47 ways as a sum of consecutive naturals, for example, 3577665 + ... + 3577941.

It is an arithmetic number, because the mean of its divisors is an integer number (30641994).

Almost surely, 2991051431 is an apocalyptic number.

991051431 is a deficient number, since it is larger than the sum of its proper divisors (479764281).

991051431 is a wasteful number, since it uses less digits than its factorization.

991051431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 991051431 is about 31480.9693465751. The cubic root of 991051431 is about 997.0082017362.

The spelling of 991051431 in words is "nine hundred ninety-one million, fifty-one thousand, four hundred thirty-one".

Divisors: 1 3 17 31 51 73 93 219 277 527 831 961 1241 1581 2263 2883 3723 4709 6789 8587 14127 16337 20221 25761 38471 49011 60663 70153 115413 145979 210459 266197 343757 437937 626851 798591 1031271 1192601 1880553 3577803 4525349 10656467 13576047 19432381 31969401 58297143 330350477 991051431