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21021200100 = 22325223356889
BaseRepresentation
bin10011100100111101…
…100000111011100100
32000021000002121102200
4103210331200323210
5321022411400400
613353525134500
71342632152445
oct234475407344
960230077380
1021021200100
118a07a1284a
1240a7b5a430
131ca0128554
141035b912cc
15830738b00
hex4e4f60ee4

21021200100 has 54 divisors (see below), whose sum is σ = 65889786690. Its totient is φ = 5605653120.

The previous prime is 21021200089. The next prime is 21021200141. The reversal of 21021200100 is 100212012.

It can be written as a sum of positive squares in 3 ways, for example, as 314565696 + 20706634404 = 17736^2 + 143898^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11677545 + ... + 11679344.

It is an arithmetic number, because the mean of its divisors is an integer number (1220181235).

Almost surely, 221021200100 is an apocalyptic number.

21021200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021200100 is an abundant number, since it is smaller than the sum of its proper divisors (44868586590).

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

21021200100 is a wasteful number, since it uses less digits than its factorization.

21021200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23356909 (or 23356899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21021200100 its reverse (100212012), we get a palindrome (21121412112).

The spelling of 21021200100 in words is "twenty-one billion, twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 23356889 46713778 70070667 93427556 116784445 140141334 210212001 233568890 280282668 350353335 420424002 467137780 583922225 700706670 840848004 1051060005 1167844450 1401413340 1751766675 2102120010 2335688900 3503533350 4204240020 5255300025 7007066700 10510600050 21021200100