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4113617130 = 233572310931
BaseRepresentation
bin1111010100110000…
…1101000011101010
3101121200111101212000
43311030031003222
531411041222010
61520105031430
7203640111600
oct36514150352
911550441760
104113617130
111821036487
12969785576
1350732229c
142b048b870
151912197c0
hexf530d0ea

4113617130 has 96 divisors (see below), whose sum is σ = 12760649280. Its totient is φ = 940252320.

The previous prime is 4113617107. The next prime is 4113617141. The reversal of 4113617130 is 317163114.

4113617130 is a `hidden beast` number, since 4 + 1 + 13 + 617 + 1 + 30 = 666.

4113617130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4113617094 and 4113617103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142236 + ... + 168695.

It is an arithmetic number, because the mean of its divisors is an integer number (132923430).

Almost surely, 24113617130 is an apocalyptic number.

4113617130 is an abundant number, since it is smaller than the sum of its proper divisors (8647032150).

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

4113617130 is a wasteful number, since it uses less digits than its factorization.

4113617130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310961 (or 310948 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4113617130 is about 64137.4861527952. The cubic root of 4113617130 is about 1602.2906162437.

The spelling of 4113617130 in words is "four billion, one hundred thirteen million, six hundred seventeen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 13230 310931 621862 932793 1554655 1865586 2176517 2798379 3109310 4353034 4663965 5596758 6529551 8395137 9327930 10882585 13059102 13991895 15235619 16790274 19588653 21765170 27983790 30471238 32647755 39177306 41975685 45706857 58765959 65295510 76178095 83951370 91413714 97943265 117531918 137120571 152356190 195886530 228534285 274241142 293829795 411361713 457068570 587659590 685602855 822723426 1371205710 2056808565 4113617130