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21102320100 = 22352593118619
BaseRepresentation
bin10011101001110010…
…111101100111100100
32000110122201221011010
4103221302331213210
5321204143220400
613405543542220
71344635522061
oct235162754744
960418657133
1021102320100
118a49789474
12410b15a970
131cb3b8b654
141042869c68
1583790e450
hex4e9cbd9e4

21102320100 has 72 divisors (see below), whose sum is σ = 61159523040. Its totient is φ = 5617748480.

The previous prime is 21102320087. The next prime is 21102320101. The reversal of 21102320100 is 102320112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21102320101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118591 + ... + 237209.

It is an arithmetic number, because the mean of its divisors is an integer number (849437820).

Almost surely, 221102320100 is an apocalyptic number.

21102320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30579761520).

21102320100 is an abundant number, since it is smaller than the sum of its proper divisors (40057202940).

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

21102320100 is a wasteful number, since it uses less digits than its factorization.

21102320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119229 (or 119222 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21102320100 its sum of digits (12), we get a palindrome (21102320112).

Adding to 21102320100 its reverse (102320112), we get a palindrome (21204640212).

The spelling of 21102320100 in words is "twenty-one billion, one hundred two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 593 1186 1779 2372 2965 3558 5930 7116 8895 11860 14825 17790 29650 35580 44475 59300 88950 118619 177900 237238 355857 474476 593095 711714 1186190 1423428 1779285 2372380 2965475 3558570 5930950 7117140 8896425 11861900 17792850 35585700 70341067 140682134 211023201 281364268 351705335 422046402 703410670 844092804 1055116005 1406821340 1758526675 2110232010 3517053350 4220464020 5275580025 7034106700 10551160050 21102320100