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21323322400 = 2552211126323
BaseRepresentation
bin10011110110111110…
…000001010000100000
32001001001121000022111
4103312332001100200
5322132232304100
613443520445104
71353261151462
oct236676012040
961031530274
1021323322400
1190525067a6
124171179794
13201a8ba343
141063d58132
1584c0166ba
hex4f6f81420

21323322400 has 72 divisors (see below), whose sum is σ = 52302683664. Its totient is φ = 8488838400.

The previous prime is 21323322359. The next prime is 21323322403. The reversal of 21323322400 is 422332312.

It is not an unprimeable number, because it can be changed into a prime (21323322403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105639 + ... + 231961.

It is an arithmetic number, because the mean of its divisors is an integer number (726426162).

Almost surely, 221323322400 is an apocalyptic number.

21323322400 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 21323322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26151341832).

21323322400 is an abundant number, since it is smaller than the sum of its proper divisors (30979361264).

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

21323322400 is a wasteful number, since it uses less digits than its factorization.

21323322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126554 (or 126541 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21323322400 its reverse (422332312), we get a palindrome (21745654712).

The spelling of 21323322400 in words is "twenty-one billion, three hundred twenty-three million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 211 400 422 800 844 1055 1688 2110 3376 4220 5275 6752 8440 10550 16880 21100 33760 42200 84400 126323 168800 252646 505292 631615 1010584 1263230 2021168 2526460 3158075 4042336 5052920 6316150 10105840 12632300 20211680 25264600 26654153 50529200 53308306 101058400 106616612 133270765 213233224 266541530 426466448 533083060 666353825 852932896 1066166120 1332707650 2132332240 2665415300 4264664480 5330830600 10661661200 21323322400