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1107019914 = 23711131989109
BaseRepresentation
bin100000111111011…
…1100100010001010
32212011001102211120
41001332330202022
54231344114124
6301503140110
736301341210
oct10176744212
92764042746
101107019914
1151897a4a0
1226a8a4636
1314846ac90
14a7048cb0
15672c0d79
hex41fbc88a

1107019914 has 256 divisors, whose sum is σ = 3193344000. Its totient is φ = 246343680.

The previous prime is 1107019913. The next prime is 1107019931. The reversal of 1107019914 is 4199107011.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1107019913) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10156092 + ... + 10156200.

It is an arithmetic number, because the mean of its divisors is an integer number (12474000).

Almost surely, 21107019914 is an apocalyptic number.

1107019914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107019914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596672000).

1107019914 is an abundant number, since it is smaller than the sum of its proper divisors (2086324086).

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

1107019914 is a wasteful number, since it uses less digits than its factorization.

1107019914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its (nonzero) digits is 2268, while the sum is 33.

The square root of 1107019914 is about 33271.9087820341. The cubic root of 1107019914 is about 1034.4713751308.

The spelling of 1107019914 in words is "one billion, one hundred seven million, nineteen thousand, nine hundred fourteen".