Search a number
-
+
21202444100 = 2252421503621
BaseRepresentation
bin10011101111110000…
…111001111101000100
32000201122010202110102
4103233300321331010
5321410311202400
613423521543232
71350262541555
oct235760717504
960648122412
1021202444100
118aa0255082
1241387a4b18
131ccb846716
141051c9032c
158415da9d5
hex4efc39f44

21202444100 has 36 divisors (see below), whose sum is σ = 46118681028. Its totient is φ = 8460816000.

The previous prime is 21202444061. The next prime is 21202444121. The reversal of 21202444100 is 144420212.

It can be written as a sum of positive squares in 6 ways, for example, as 2483826244 + 18718617856 = 49838^2 + 136816^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209711 + ... + 293910.

It is an arithmetic number, because the mean of its divisors is an integer number (1281074473).

Almost surely, 221202444100 is an apocalyptic number.

21202444100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202444100 is an abundant number, since it is smaller than the sum of its proper divisors (24916236928).

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

21202444100 is a wasteful number, since it uses less digits than its factorization.

21202444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504056 (or 504049 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21202444100 its reverse (144420212), we get a palindrome (21346864312).

The spelling of 21202444100 in words is "twenty-one billion, two hundred two million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 421 842 1684 2105 4210 8420 10525 21050 42100 503621 1007242 2014484 2518105 5036210 10072420 12590525 25181050 50362100 212024441 424048882 848097764 1060122205 2120244410 4240488820 5300611025 10601222050 21202444100