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206105130 = 232571129741
BaseRepresentation
bin11000100100011…
…10101000101010
3112100211020002100
430102032220222
5410230331010
632241314230
75051602410
oct1422165052
9470736070
10206105130
11a6382920
1259035976
13339140ca
141d5312b0
15131632c0
hexc48ea2a

206105130 has 96 divisors (see below), whose sum is σ = 668124288. Its totient is φ = 42825600.

The previous prime is 206105111. The next prime is 206105147. The reversal of 206105130 is 31501602.

206105130 is a `hidden beast` number, since 2 + 0 + 610 + 51 + 3 + 0 = 666.

It is a super-2 number, since 2×2061051302 = 84958649224633800, which contains 22 as substring.

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

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, 7941 + ... + 21800.

It is an arithmetic number, because the mean of its divisors is an integer number (6959628).

Almost surely, 2206105130 is an apocalyptic number.

206105130 is an abundant number, since it is smaller than the sum of its proper divisors (462019158).

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

206105130 is a wasteful number, since it uses less digits than its factorization.

206105130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29772 (or 29769 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 206105130 is about 14356.3620043519. The cubic root of 206105130 is about 590.6945091621.

Adding to 206105130 its reverse (31501602), we get a palindrome (237606732).

The spelling of 206105130 in words is "two hundred six million, one hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 29741 59482 89223 148705 178446 208187 267669 297410 327151 416374 446115 535338 624561 654302 892230 981453 1040935 1249122 1338345 1635755 1873683 1962906 2081870 2290057 2676690 2944359 3122805 3271510 3747366 4580114 4907265 5888718 6245610 6870171 9368415 9814530 11450285 13740342 14721795 18736830 20610513 22900570 29443590 34350855 41221026 68701710 103052565 206105130