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10455014130 = 23511211150151
BaseRepresentation
bin10011011110010101…
…01101101011110010
3222222121221202011120
421233022231223302
5132402440423010
64445235123110
7520041103521
oct115712555362
928877852146
1010455014130
114485645950
122039443496
13ca80514c2
147127684b8
15412cdbe70
hex26f2adaf2

10455014130 has 64 divisors (see below), whose sum is σ = 27503041536. Its totient is φ = 2522520000.

The previous prime is 10455014107. The next prime is 10455014153. The reversal of 10455014130 is 3141055401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10455014107) and next prime (10455014153).

It is a self number, because there is not a number n which added to its sum of digits gives 10455014130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5446 + ... + 144705.

It is an arithmetic number, because the mean of its divisors is an integer number (429735024).

Almost surely, 210455014130 is an apocalyptic number.

10455014130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10455014130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751520768).

10455014130 is an abundant number, since it is smaller than the sum of its proper divisors (17048027406).

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

10455014130 is a wasteful number, since it uses less digits than its factorization.

10455014130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150383.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10455014130 its reverse (3141055401), we get a palindrome (13596069531).

The spelling of 10455014130 in words is "ten billion, four hundred fifty-five million, fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 211 330 422 633 1055 1266 2110 2321 3165 4642 6330 6963 11605 13926 23210 34815 69630 150151 300302 450453 750755 900906 1501510 1651661 2252265 3303322 4504530 4954983 8258305 9909966 16516610 24774915 31681861 49549830 63363722 95045583 158409305 190091166 316818610 348500471 475227915 697000942 950455830 1045501413 1742502355 2091002826 3485004710 5227507065 10455014130