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21132040100 = 2252211320401
BaseRepresentation
bin10011101011100100…
…010101011110100100
32000112201122212022212
4103223210111132210
5321234300240400
613412524542552
71345446243233
oct235344253644
960481585285
1021132040100
118a64538556
1241190b1a58
131cba096052
1410467a4b1a
1583a330335
hex4eb9157a4

21132040100 has 18 divisors (see below), whose sum is σ = 45856527234. Its totient is φ = 8452816000.

The previous prime is 21132040087. The next prime is 21132040121. The reversal of 21132040100 is 104023112.

It can be written as a sum of positive squares in 3 ways, for example, as 448422976 + 20683617124 = 21176^2 + 143818^2 .

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, 105660101 + ... + 105660300.

Almost surely, 221132040100 is an apocalyptic number.

21132040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132040100 is an abundant number, since it is smaller than the sum of its proper divisors (24724487134).

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

21132040100 is a wasteful number, since it uses less digits than its factorization.

21132040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211320415 (or 211320408 counting only the distinct ones).

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

Adding to 21132040100 its reverse (104023112), we get a palindrome (21236063212).

The spelling of 21132040100 in words is "twenty-one billion, one hundred thirty-two million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211320401 422640802 845281604 1056602005 2113204010 4226408020 5283010025 10566020050 21132040100