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1013311992 = 2337116189101
BaseRepresentation
bin111100011001011…
…110100111111000
32121121201120201210
4330121132213320
54033401440432
6244314443120
734053003240
oct7431364770
92547646653
101013311992
1147aa96330
122434334a0
13131c1b3c4
1498814b20
155de608cc
hex3c65e9f8

1013311992 has 256 divisors, whose sum is σ = 3278361600. Its totient is φ = 253440000.

The previous prime is 1013311991. The next prime is 1013311993. The reversal of 1013311992 is 2991133101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1013311991) and next prime (1013311993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013311991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10032742 + ... + 10032842.

It is an arithmetic number, because the mean of its divisors is an integer number (12806100).

Almost surely, 21013311992 is an apocalyptic number.

1013311992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013311992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639180800).

1013311992 is an abundant number, since it is smaller than the sum of its proper divisors (2265049608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013311992 is a wasteful number, since it uses less digits than its factorization.

1013311992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 1013311992 is about 31832.5618196211. The cubic root of 1013311992 is about 1004.4177851011.

The spelling of 1013311992 in words is "one billion, thirteen million, three hundred eleven thousand, nine hundred ninety-two".