Search a number
-
+
21750040100 = 2252217500401
BaseRepresentation
bin10100010000011001…
…110100011000100100
32002010210112111221202
4110100121310120210
5324021002240400
613554122502032
71366662201425
oct242031643044
962123474852
1021750040100
119251370058
124270064918
132088124919
1410a48b564c
158747064d5
hex510674624

21750040100 has 18 divisors (see below), whose sum is σ = 47197587234. Its totient is φ = 8700016000.

The previous prime is 21750040099. The next prime is 21750040133. The reversal of 21750040100 is 104005712.

It can be written as a sum of positive squares in 3 ways, for example, as 6278660644 + 15471379456 = 79238^2 + 124384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108750101 + ... + 108750300.

Almost surely, 221750040100 is an apocalyptic number.

21750040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21750040100 is an abundant number, since it is smaller than the sum of its proper divisors (25447547134).

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

21750040100 is a wasteful number, since it uses less digits than its factorization.

21750040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217500415 (or 217500408 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

Adding to 21750040100 its reverse (104005712), we get a palindrome (21854045812).

The spelling of 21750040100 in words is "twenty-one billion, seven hundred fifty million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 217500401 435000802 870001604 1087502005 2175004010 4350008020 5437510025 10875020050 21750040100