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103111313130 = 232571031589017
BaseRepresentation
bin110000000000111101…
…0011100011011101010
3100212011000010102111100
41200001322130123222
53142132444010010
6115211345142230
710310123462160
oct1400172343352
9325130112440
10103111313130
113a802714771
1217b9792a976
139953298c27
144dc2361230
152a3746a2c0
hex1801e9c6ea

103111313130 has 96 divisors (see below), whose sum is σ = 309362736384. Its totient is φ = 23339467008.

The previous prime is 103111313117. The next prime is 103111313131. The reversal of 103111313130 is 31313111301.

103111313130 is a `hidden beast` number, since 10 + 311 + 1 + 31 + 313 + 0 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103111313131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 729619 + ... + 859398.

It is an arithmetic number, because the mean of its divisors is an integer number (3222528504).

Almost surely, 2103111313130 is an apocalyptic number.

103111313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103111313130 is an abundant number, since it is smaller than the sum of its proper divisors (206251423254).

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

103111313130 is a wasteful number, since it uses less digits than its factorization.

103111313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589140 (or 1589137 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 103111313130 its reverse (31313111301), we get a palindrome (134424424431).

The spelling of 103111313130 in words is "one hundred three billion, one hundred eleven million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 103 105 126 206 210 309 315 515 618 630 721 927 1030 1442 1545 1854 2163 3090 3605 4326 4635 6489 7210 9270 10815 12978 21630 32445 64890 1589017 3178034 4767051 7945085 9534102 11123119 14301153 15890170 22246238 23835255 28602306 33369357 47670510 55615595 66738714 71505765 100108071 111231190 143011530 163668751 166846785 200216142 327337502 333693570 491006253 500540355 818343755 982012506 1001080710 1145681257 1473018759 1636687510 2291362514 2455031265 2946037518 3437043771 4910062530 5728406285 6874087542 7365093795 10311131313 11456812570 14730187590 17185218855 20622262626 34370437710 51555656565 103111313130