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201001203130 = 257213291088081
BaseRepresentation
bin1011101100110010011…
…0101111010110111010
3201012211010020001222211
42323030212233112322
511243122302000010
6232201053205334
720343666015400
oct2731446572672
9635733201884
10201001203130
1178275a36a02
1232b56a9084a
1315c5388ab70
149a2b063470
1553662e208a
hex2ecc9af5ba

201001203130 has 96 divisors (see below), whose sum is σ = 468876295440. Its totient is φ = 61419939840.

The previous prime is 201001203079. The next prime is 201001203209. The reversal of 201001203130 is 31302100102.

201001203130 is digitally balanced in base 3, 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 9061707249 + 191939495881 = 95193^2 + 438109^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 201001203130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359311 + ... + 728770.

Almost surely, 2201001203130 is an apocalyptic number.

201001203130 is an abundant number, since it is smaller than the sum of its proper divisors (267875092310).

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

201001203130 is a wasteful number, since it uses less digits than its factorization.

201001203130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088144 (or 1088137 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 201001203130 its reverse (31302100102), we get a palindrome (232303303232).

The spelling of 201001203130 in words is "two hundred one billion, one million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 29 35 49 58 65 70 91 98 130 145 182 203 245 290 377 406 455 490 637 754 910 1015 1274 1421 1885 2030 2639 2842 3185 3770 5278 6370 7105 13195 14210 18473 26390 36946 92365 184730 1088081 2176162 5440405 7616567 10880810 14145053 15233134 28290106 31554349 38082835 53315969 63108698 70725265 76165670 99015371 106631938 141450530 157771745 198030742 220880443 266579845 315543490 410206537 441760886 495076855 533159690 693107597 820413074 990153710 1104402215 1386215194 1546163101 2051032685 2208804430 2871445759 3092326202 3465537985 4102065370 5742891518 6931075970 7730815505 14357228795 15461631010 20100120313 28714457590 40200240626 100500601565 201001203130