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201205040502102 = 23713529327696181
BaseRepresentation
bin101101101111111010110010…
…111101110101010101010110
3222101102000101012221012112220
4231233322302331311111112
5202333020410332031402
61551532153005323210
760244404320504130
oct5557726275652526
9871360335835486
10201205040502102
115912363aa6025a
121a696a74b66506
138836727c166c0
143798539754050
15183dc11531dbc
hexb6feb2f75556

201205040502102 has 64 divisors (see below), whose sum is σ = 495275592935424. Its totient is φ = 53064889153920.

The previous prime is 201205040502091. The next prime is 201205040502197.

201205040502102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288664452 + ... + 289360632.

It is an arithmetic number, because the mean of its divisors is an integer number (7738681139616).

Almost surely, 2201205040502102 is an apocalyptic number.

201205040502102 is an abundant number, since it is smaller than the sum of its proper divisors (294070552433322).

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

201205040502102 is a wasteful number, since it uses less digits than its factorization.

201205040502102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225533.

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 201205040502102 in words is "two hundred one trillion, two hundred five billion, forty million, five hundred two thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 529327 696181 1058654 1392362 1587981 2088543 3175962 3705289 4177086 4873267 6881251 7410578 9050353 9746534 11115867 13762502 14619801 18100706 20643753 22231734 27151059 29239602 41287506 48168757 54302118 63352471 96337514 126704942 144506271 190057413 289012542 380114826 368507400187 737014800374 1105522200561 2211044401122 2579551801309 4790596202431 5159103602618 7738655403927 9581192404862 14371788607293 15477310807854 28743577214586 33534173417017 67068346834034 100602520251051 201205040502102