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10100103130 = 2513558113921
BaseRepresentation
bin10010110100000001…
…10101011111011010
3222001220010101210201
421122000311133122
5131141111300010
64350120132414
7505201313545
oct113200653732
928056111721
1010100103130
114313276a77
121b5a60710a
13c4c668bb0
146bb57d85c
153e1a8323a
hex25a0357da

10100103130 has 32 divisors (see below), whose sum is σ = 19583576208. Its totient is φ = 3728332800.

The previous prime is 10100103107. The next prime is 10100103179. The reversal of 10100103130 is 3130100101.

10100103130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2080363321 + 8019739809 = 45611^2 + 89553^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718570 + ... + 732490.

Almost surely, 210100103130 is an apocalyptic number.

10100103130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100103130 is a deficient number, since it is larger than the sum of its proper divisors (9483473078).

10100103130 is a wasteful number, since it uses less digits than its factorization.

10100103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19522.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10100103130 its reverse (3130100101), we get a palindrome (13230203231).

The spelling of 10100103130 in words is "ten billion, one hundred million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 5581 11162 13921 27842 27905 55810 69605 72553 139210 145106 180973 361946 362765 725530 904865 1809730 77693101 155386202 388465505 776931010 1010010313 2020020626 5050051565 10100103130