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1013811120 = 243357193529
BaseRepresentation
bin111100011011011…
…000011110110000
32121122122221102000
4330123120132300
54034013423440
6244333254000
734060152360
oct7433303660
92548587360
101013811120
114802a7333
12243634300
1313206464a
14989049a0
155e00d730
hex3c6d87b0

1013811120 has 320 divisors, whose sum is σ = 4202112000. Its totient is φ = 219469824.

The previous prime is 1013811119. The next prime is 1013811121. The reversal of 1013811120 is 211183101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1013811119) and next prime (1013811121).

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

It is a junction number, because it is equal to n+sod(n) for n = 1013811093 and 1013811102.

It is not an unprimeable number, because it can be changed into a prime (1013811121) 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, 285516 + ... + 289044.

It is an arithmetic number, because the mean of its divisors is an integer number (13131600).

Almost surely, 21013811120 is an apocalyptic number.

1013811120 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 1013811120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101056000).

1013811120 is an abundant number, since it is smaller than the sum of its proper divisors (3188300880).

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

1013811120 is a wasteful number, since it uses less digits than its factorization.

1013811120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1013811120 is about 31840.4007512468. The cubic root of 1013811120 is about 1004.5826736884.

Adding to 1013811120 its reverse (211183101), we get a palindrome (1224994221).

The spelling of 1013811120 in words is "one billion, thirteen million, eight hundred eleven thousand, one hundred twenty".