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2100014032014 = 233291657809297
BaseRepresentation
bin11110100011110010100…
…101110010010010001110
321102202111120220002112000
4132203302211302102032
5233401312043011024
64244422204453130
7304502206515153
oct36436245622216
97382446802460
102100014032014
1173a67a1a0398
1229abb654a1a6
13123051c47982
14738d972422a
153995d589cc9
hex1e8f297248e

2100014032014 has 64 divisors (see below), whose sum is σ = 4830537902400. Its totient is φ = 675457864704.

The previous prime is 2100014032013. The next prime is 2100014032027. The reversal of 2100014032014 is 4102304100012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100014032013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2190214 + ... + 2999510.

It is an arithmetic number, because the mean of its divisors is an integer number (75477154725).

Almost surely, 22100014032014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100014032014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415268951200).

2100014032014 is an abundant number, since it is smaller than the sum of its proper divisors (2730523870386).

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

2100014032014 is a wasteful number, since it uses less digits than its factorization.

2100014032014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810994 (or 810988 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2100014032014 its reverse (4102304100012), we get a palindrome (6202318132026).

The spelling of 2100014032014 in words is "two trillion, one hundred billion, fourteen million, thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 1657 3314 4971 9942 14913 29826 44739 48053 89478 96106 144159 288318 432477 809297 864954 1297431 1618594 2427891 2594862 4855782 7283673 14567346 21851019 23469613 43702038 46939226 70408839 140817678 211226517 422453034 633679551 1267359102 1341005129 2682010258 4023015387 8046030774 12069046161 24138092322 36207138483 38889148741 72414276966 77778297482 116667446223 233334892446 350002338669 700004677338 1050007016007 2100014032014