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1013062140 = 22375192353
BaseRepresentation
bin111100011000100…
…001100111111100
32121121020220000000
4330120201213330
54033320442030
6244305234300
734050612636
oct7430414774
92547226000
101013062140
1147a935642
12243332990
13131b6176c
149878ba56
155de11860
hex3c6219fc

1013062140 has 384 divisors, whose sum is σ = 3570739200. Its totient is φ = 240185088.

The previous prime is 1013062139. The next prime is 1013062187. The reversal of 1013062140 is 412603101.

It is a happy number.

1013062140 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 0 + 621 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19114354 + ... + 19114406.

It is an arithmetic number, because the mean of its divisors is an integer number (9298800).

Almost surely, 21013062140 is an apocalyptic number.

1013062140 is a gapful number since it is divisible by the number (10) 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 1013062140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785369600).

1013062140 is an abundant number, since it is smaller than the sum of its proper divisors (2557677060).

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

1013062140 is a wasteful number, since it uses less digits than its factorization.

1013062140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1013062140 is about 31828.6371056004. The cubic root of 1013062140 is about 1004.3352253290.

Adding to 1013062140 its reverse (412603101), we get a palindrome (1425665241).

The spelling of 1013062140 in words is "one billion, thirteen million, sixty-two thousand, one hundred forty".