Search a number
-
+
21132220100 = 2252211322201
BaseRepresentation
bin10011101011100101…
…000001011011000100
32000112202000000020112
4103223211001123010
5321234322020400
613412532452152
71345450623065
oct235345013304
960482000215
1021132220100
118a64650812
12411917a058
131cba129c64
14104681056c
1583a368835
hex4eb9416c4

21132220100 has 18 divisors (see below), whose sum is σ = 45856917834. Its totient is φ = 8452888000.

The previous prime is 21132220079. The next prime is 21132220121. The reversal of 21132220100 is 102223112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21132220079) and next prime (21132220121).

It can be written as a sum of positive squares in 3 ways, for example, as 204547204 + 20927672896 = 14302^2 + 144664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105661001 + ... + 105661200.

Almost surely, 221132220100 is an apocalyptic number.

21132220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132220100 is an abundant number, since it is smaller than the sum of its proper divisors (24724697734).

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

21132220100 is a wasteful number, since it uses less digits than its factorization.

21132220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211322215 (or 211322208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21132220100 its reverse (102223112), we get a palindrome (21234443212).

The spelling of 21132220100 in words is "twenty-one billion, one hundred thirty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211322201 422644402 845288804 1056611005 2113222010 4226444020 5283055025 10566110050 21132220100