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201304345435100 = 22524707194276529
BaseRepresentation
bin101101110001010111010010…
…000000000101101111011100
3222101202111200221200111010022
4231301113102000011233130
5202341132244412410400
61552045534542531312
760254521224505205
oct5561272200055734
9871674627614108
10201304345435100
115916176a006216
121a6b2169b96b38
138842bc272319b
14379d27a3625ac
1518415c4720b85
hexb715d2005bdc

201304345435100 has 36 divisors (see below), whose sum is σ = 436831459747200. Its totient is φ = 80521548284160.

The previous prime is 201304345435027. The next prime is 201304345435111. The reversal of 201304345435100 is 1534543403102.

It is a super-3 number, since 3×2013043454351003 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 44933636 + ... + 49210164.

It is an arithmetic number, because the mean of its divisors is an integer number (12134207215200).

Almost surely, 2201304345435100 is an apocalyptic number.

201304345435100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201304345435100 is an abundant number, since it is smaller than the sum of its proper divisors (235527114312100).

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

201304345435100 is a wasteful number, since it uses less digits than its factorization.

201304345435100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747262 (or 4747255 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 201304345435100 its reverse (1534543403102), we get a palindrome (202838888838202).

The spelling of 201304345435100 in words is "two hundred one trillion, three hundred four billion, three hundred forty-five million, four hundred thirty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 470719 941438 1882876 2353595 4276529 4707190 8553058 9414380 11767975 17106116 21382645 23535950 42765290 47071900 85530580 106913225 213826450 427652900 2013043454351 4026086908702 8052173817404 10065217271755 20130434543510 40260869087020 50326086358775 100652172717550 201304345435100