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1313402112 = 283211291787
BaseRepresentation
bin100111001001000…
…1110110100000000
310101112101201222200
41032102032310000
510142212331422
6334154433200
744355506451
oct11622166400
93345351880
101313402112
116144214a0
12307a32800
1317c14b219
14c660d128
157a48b2ac
hex4e48ed00

1313402112 has 216 divisors, whose sum is σ = 4275966240. Its totient is φ = 384061440.

The previous prime is 1313402089. The next prime is 1313402137. The reversal of 1313402112 is 2112043131.

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 23 ways as a sum of consecutive naturals, for example, 734083 + ... + 735869.

It is an arithmetic number, because the mean of its divisors is an integer number (19796140).

Almost surely, 21313402112 is an apocalyptic number.

1313402112 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 1313402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137983120).

1313402112 is an abundant number, since it is smaller than the sum of its proper divisors (2962564128).

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

1313402112 is a wasteful number, since it uses less digits than its factorization.

1313402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1832 counting only the distinct ones).

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

The square root of 1313402112 is about 36240.8900552953. The cubic root of 1313402112 is about 1095.1305730325.

Adding to 1313402112 its reverse (2112043131), we get a palindrome (3425445243).

The spelling of 1313402112 in words is "one billion, three hundred thirteen million, four hundred two thousand, one hundred twelve".