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21322301200 = 245253305753
BaseRepresentation
bin10011110110111010…
…000111111100010000
32001000222200010111021
4103312322013330100
5322132002114300
613443442525224
71353246366304
oct236672077420
961028603437
1021322301200
119051979532
124170966814
13201a620595
141063b6dd04
1584bdb3d1a
hex4f6e87f10

21322301200 has 30 divisors (see below), whose sum is σ = 51226829594. Its totient is φ = 8528920320.

The previous prime is 21322301191. The next prime is 21322301219. The reversal of 21322301200 is 210322312.

It can be written as a sum of positive squares in 3 ways, for example, as 2255110144 + 19067191056 = 47488^2 + 138084^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 5 ways as a sum of consecutive naturals, for example, 26652477 + ... + 26653276.

Almost surely, 221322301200 is an apocalyptic number.

21322301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21322301200 is an abundant number, since it is smaller than the sum of its proper divisors (29904528394).

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

21322301200 is a wasteful number, since it uses less digits than its factorization.

21322301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53305771 (or 53305760 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21322301200 its reverse (210322312), we get a palindrome (21532623512).

The spelling of 21322301200 in words is "twenty-one billion, three hundred twenty-two million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 53305753 106611506 213223012 266528765 426446024 533057530 852892048 1066115060 1332643825 2132230120 2665287650 4264460240 5330575300 10661150600 21322301200