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21131323400 = 23521189107923
BaseRepresentation
bin10011101011100001…
…100110100000001000
32000112200022110012102
4103223201212200020
5321234104322100
613412501332532
71345440166565
oct235341464010
960480273172
1021131323400
118a64099040
124118a07148
131cb9ba4a75
14104665986c
1583a23ccd5
hex4eb866808

21131323400 has 96 divisors (see below), whose sum is σ = 54199432800. Its totient is φ = 7597708800.

The previous prime is 21131323399. The next prime is 21131323463. The reversal of 21131323400 is 432313112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141839 + ... + 249761.

It is an arithmetic number, because the mean of its divisors is an integer number (564577425).

Almost surely, 221131323400 is an apocalyptic number.

21131323400 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 21131323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27099716400).

21131323400 is an abundant number, since it is smaller than the sum of its proper divisors (33068109400).

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

21131323400 is a wasteful number, since it uses less digits than its factorization.

21131323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108039 (or 108030 counting only the distinct ones).

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

Adding to 21131323400 its reverse (432313112), we get a palindrome (21563636512).

The spelling of 21131323400 in words is "twenty-one billion, one hundred thirty-one million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 89 100 110 178 200 220 275 356 440 445 550 712 890 979 1100 1780 1958 2200 2225 3560 3916 4450 4895 7832 8900 9790 17800 19580 24475 39160 48950 97900 107923 195800 215846 431692 539615 863384 1079230 1187153 2158460 2374306 2698075 4316920 4748612 5396150 5935765 9497224 9605147 10792300 11871530 19210294 21584600 23743060 29678825 38420588 47486120 48025735 59357650 76841176 96051470 105656617 118715300 192102940 211313234 237430600 240128675 384205880 422626468 480257350 528283085 845252936 960514700 1056566170 1921029400 2113132340 2641415425 4226264680 5282830850 10565661700 21131323400