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2032143240100 = 2252101201202301
BaseRepresentation
bin11101100100100101001…
…011010000101110100100
321012021022120000122001011
4131210211023100232210
5231243312132140400
64153315334112004
7266550255352231
oct35444513205644
97167276018034
102032143240100
11713910976926
12289a147ab604
1311982697687c
14704db7dc788
1537cd9d608ba
hex1d9252d0ba4

2032143240100 has 36 divisors (see below), whose sum is σ = 4453411752468. Its totient is φ = 804809200000.

The previous prime is 2032143240097. The next prime is 2032143240143. The reversal of 2032143240100 is 10423412302.

It can be written as a sum of positive squares in 6 ways, for example, as 172817316 + 2031970422784 = 13146^2 + 1425472^2 .

It is a super-2 number, since 2×20321432401002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100591051 + ... + 100611250.

It is an arithmetic number, because the mean of its divisors is an integer number (123705882013).

Almost surely, 22032143240100 is an apocalyptic number.

2032143240100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032143240100 is an abundant number, since it is smaller than the sum of its proper divisors (2421268512368).

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

2032143240100 is a wasteful number, since it uses less digits than its factorization.

2032143240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201202416 (or 201202409 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2032143240100 its reverse (10423412302), we get a palindrome (2042566652402).

The spelling of 2032143240100 in words is "two trillion, thirty-two billion, one hundred forty-three million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 201202301 402404602 804809204 1006011505 2012023010 4024046020 5030057525 10060115050 20120230100 20321432401 40642864802 81285729604 101607162005 203214324010 406428648020 508035810025 1016071620050 2032143240100