Search a number
-
+
21121232100 = 2235270404107
BaseRepresentation
bin10011101010111011…
…000110110011100100
32000111222022202112120
4103222323012303210
5321224013411400
613411501145540
71345255340103
oct235273066344
960458282476
1021121232100
118a59426321
12411555b2b0
131cb7a80797
14104519003a
158393e7ca0
hex4eaec6ce4

21121232100 has 36 divisors (see below), whose sum is σ = 61110765744. Its totient is φ = 5632328480.

The previous prime is 21121232053. The next prime is 21121232113. The reversal of 21121232100 is 123212112.

It is a super-2 number, since 2×211212321002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21121232100.

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, 35201754 + ... + 35202353.

Almost surely, 221121232100 is an apocalyptic number.

21121232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121232100 is an abundant number, since it is smaller than the sum of its proper divisors (39989533644).

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

21121232100 is a wasteful number, since it uses less digits than its factorization.

21121232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70404124 (or 70404117 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21121232100 its reverse (123212112), we get a palindrome (21244444212).

It can be divided in two parts, 21 and 121232100, that added together give a palindrome (121232121).

The spelling of 21121232100 in words is "twenty-one billion, one hundred twenty-one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 70404107 140808214 211212321 281616428 352020535 422424642 704041070 844849284 1056061605 1408082140 1760102675 2112123210 3520205350 4224246420 5280308025 7040410700 10560616050 21121232100