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988105131 = 32138445343
BaseRepresentation
bin111010111001010…
…100100110101011
32112212021221102100
4322321110212223
54010423331011
6242014304443
733325516656
oct7271244653
92485257370
10988105131
1146783a012
12236ab8123
13129933cc0
149533289d
155bb31d56
hex3ae549ab

988105131 has 12 divisors (see below), whose sum is σ = 1537052608. Its totient is φ = 608064624.

The previous prime is 988105087. The next prime is 988105171. The reversal of 988105131 is 131501889.

It is not a de Polignac number, because 988105131 - 214 = 988088747 is a prime.

It is a super-3 number, since 3×9881051313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (988105171) 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 11 ways as a sum of consecutive naturals, for example, 4222555 + ... + 4222788.

Almost surely, 2988105131 is an apocalyptic number.

988105131 is a deficient number, since it is larger than the sum of its proper divisors (548947477).

988105131 is a wasteful number, since it uses less digits than its factorization.

988105131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445362 (or 8445359 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 988105131 is about 31434.1395778539. The cubic root of 988105131 is about 996.0192180692.

The spelling of 988105131 in words is "nine hundred eighty-eight million, one hundred five thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 8445343 25336029 76008087 109789459 329368377 988105131