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21322300200 = 2335290739181
BaseRepresentation
bin10011110110111010…
…000111101100101000
32001000222200002010020
4103312322013230220
5322132002101300
613443442520440
71353246363345
oct236672075450
961028602106
1021322300200
119051978803
124170966120
13201a61cca6
141063b6d7cc
1584bdb38a0
hex4f6e87b28

21322300200 has 96 divisors (see below), whose sum is σ = 66173696160. Its totient is φ = 5679532800.

The previous prime is 21322300187. The next prime is 21322300231. The reversal of 21322300200 is 200322312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21322300200.

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, 524610 + ... + 563790.

It is an arithmetic number, because the mean of its divisors is an integer number (689309335).

Almost surely, 221322300200 is an apocalyptic number.

21322300200 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 21322300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33086848080).

21322300200 is an abundant number, since it is smaller than the sum of its proper divisors (44851395960).

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

21322300200 is a wasteful number, since it uses less digits than its factorization.

21322300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40107 (or 40098 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21322300200 its reverse (200322312), we get a palindrome (21522622512).

The spelling of 21322300200 in words is "twenty-one billion, three hundred twenty-two million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 907 1814 2721 3628 4535 5442 7256 9070 10884 13605 18140 21768 22675 27210 36280 39181 45350 54420 68025 78362 90700 108840 117543 136050 156724 181400 195905 235086 272100 313448 391810 470172 544200 587715 783620 940344 979525 1175430 1567240 1959050 2350860 2938575 3918100 4701720 5877150 7836200 11754300 23508600 35537167 71074334 106611501 142148668 177685835 213223002 284297336 355371670 426446004 533057505 710743340 852892008 888429175 1066115010 1421486680 1776858350 2132230020 2665287525 3553716700 4264460040 5330575050 7107433400 10661150100 21322300200