Search a number
-
+
200111001332130 = 23257245376644293
BaseRepresentation
bin101101011111111111111001…
…001001100110100110100010
3222020112102110202012222101200
4231133333321021212212202
5202212104312320112010
61545333420325142030
760102354106134600
oct5537777111464642
9866472422188350
10200111001332130
1158841665407079
121a53aa2955a916
1387875040713b5
14375b5d1bc0870
15182052e02ccc0
hexb5fff92669a2

200111001332130 has 72 divisors (see below), whose sum is σ = 605233681593372. Its totient is φ = 45739657446336.

The previous prime is 200111001332113. The next prime is 200111001332153. The reversal of 200111001332130 is 31233100111002.

200111001332130 is a `hidden beast` number, since 200 + 1 + 1 + 1 + 0 + 0 + 1 + 332 + 130 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 192694404236481 + 7416597095649 = 13881441^2 + 2723343^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22688317737 + ... + 22688326556.

Almost surely, 2200111001332130 is an apocalyptic number.

200111001332130 is an abundant number, since it is smaller than the sum of its proper divisors (405122680261242).

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

200111001332130 is a wasteful number, since it uses less digits than its factorization.

200111001332130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45376644320 (or 45376644310 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 200111001332130 its reverse (31233100111002), we get a palindrome (231344101443132).

The spelling of 200111001332130 in words is "two hundred trillion, one hundred eleven billion, one million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 45376644293 90753288586 136129932879 226883221465 272259865758 317636510051 408389798637 453766442930 635273020102 680649664395 816779597274 952909530153 1361299328790 1588182550255 1905819060306 2041948993185 2223455570357 2858728590459 3176365100510 4083897986370 4446911140714 4764547650765 5717457180918 6670366711071 9529095301530 11117277851785 13340733422142 14293642952295 20011100133213 22234555703570 28587285904590 33351833555355 40022200266426 66703667110710 100055500666065 200111001332130