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21200300400 = 2435217666917
BaseRepresentation
bin10011101111101000…
…101110100101110000
32000201111002211212010
4103233220232211300
5321404234103100
613423404002520
71350235402656
oct235750564560
960644084763
1021200300400
118a9a020524
124137b30440
131ccb275a66
141051892dd6
15841315750
hex4efa2e970

21200300400 has 60 divisors (see below), whose sum is σ = 67911632792. Its totient is φ = 5653413120.

The previous prime is 21200300383. The next prime is 21200300417. The reversal of 21200300400 is 400300212.

It is an interprime number because it is at equal distance from previous prime (21200300383) and next prime (21200300417).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

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, 8832259 + ... + 8834658.

Almost surely, 221200300400 is an apocalyptic number.

21200300400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200300400 is an abundant number, since it is smaller than the sum of its proper divisors (46711332392).

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

21200300400 is a wasteful number, since it uses less digits than its factorization.

21200300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17666938 (or 17666927 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 21200300400 its reverse (400300212), we get a palindrome (21600600612).

The spelling of 21200300400 in words is "twenty-one billion, two hundred million, three hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17666917 35333834 53000751 70667668 88334585 106001502 141335336 176669170 212003004 265003755 282670672 353338340 424006008 441672925 530007510 706676680 848012016 883345850 1060015020 1325018775 1413353360 1766691700 2120030040 2650037550 3533383400 4240060080 5300075100 7066766800 10600150200 21200300400