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2001100920102 = 232195322083009
BaseRepresentation
bin11101000111101010111…
…010001101010100100110
321002022012011102101102200
4131013222322031110212
5230241223313420402
64131143145315330
7264401101112454
oct35075272152446
97068164371380
102001100920102
11701731334409
122839b0795b46
1311691a677a9b
146cbd4b8b9d4
15370be99621c
hex1d1eae8d526

2001100920102 has 72 divisors (see below), whose sum is σ = 4651652951400. Its totient is φ = 620003165184.

The previous prime is 2001100920053. The next prime is 2001100920107. The reversal of 2001100920102 is 2010290011002.

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 (2001100920107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80827 + ... + 2002182.

Almost surely, 22001100920102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001100920102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325826475700).

2001100920102 is an abundant number, since it is smaller than the sum of its proper divisors (2650552031298).

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

2001100920102 is a wasteful number, since it uses less digits than its factorization.

2001100920102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083142 (or 2083086 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2001100920102 its reverse (2010290011002), we get a palindrome (4011390931104).

The spelling of 2001100920102 in words is "two trillion, one billion, one hundred million, nine hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 477 954 1007 2014 2809 3021 5618 6042 8427 9063 16854 18126 25281 50562 53371 106742 160113 320226 480339 960678 2083009 4166018 6249027 12498054 18747081 37494162 39577171 79154342 110399477 118731513 220798954 237463026 331198431 356194539 662396862 712389078 993595293 1987190586 2097590063 4195180126 5851172281 6292770189 11702344562 12585540378 17553516843 18878310567 35107033686 37756621134 52660550529 105321101058 111172273339 222344546678 333516820017 667033640034 1000550460051 2001100920102