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21331412300 = 225211147113183
BaseRepresentation
bin10011110111011100…
…111000010101001100
32001001121211000120102
4103313130320111030
5322141320143200
613444410110232
71353420004262
oct236734702514
961047730512
1021331412300
119057031870
124173a1b378
13201c490673
141065062432
1584cab36d5
hex4f773854c

21331412300 has 72 divisors (see below), whose sum is σ = 50535432192. Its totient is φ = 7751016000.

The previous prime is 21331412293. The next prime is 21331412327. The reversal of 21331412300 is 321413312.

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

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 23 ways as a sum of consecutive naturals, for example, 1611509 + ... + 1624691.

Almost surely, 221331412300 is an apocalyptic number.

21331412300 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 21331412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25267716096).

21331412300 is an abundant number, since it is smaller than the sum of its proper divisors (29204019892).

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

21331412300 is a wasteful number, since it uses less digits than its factorization.

21331412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14679 (or 14672 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21331412300 its reverse (321413312), we get a palindrome (21652825612).

The spelling of 21331412300 in words is "twenty-one billion, three hundred thirty-one million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1471 2942 5884 7355 13183 14710 16181 26366 29420 32362 36775 52732 64724 65915 73550 80905 131830 145013 147100 161810 263660 290026 323620 329575 404525 580052 659150 725065 809050 1318300 1450130 1618100 2900260 3625325 7250650 14501300 19392193 38784386 77568772 96960965 193921930 213314123 387843860 426628246 484804825 853256492 969609650 1066570615 1939219300 2133141230 4266282460 5332853075 10665706150 21331412300