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21234121400 = 2352415348859
BaseRepresentation
bin10011110001101001…
…101111101010111000
32000210211202010112202
4103301221233222320
5321441413341100
613431012525332
71351126024322
oct236151575270
960724663482
1021234121400
119007120768
124147320848
132005287c9b
141056178612
158442967d5
hex4f1a6fab8

21234121400 has 96 divisors (see below), whose sum is σ = 51528733200. Its totient is φ = 8129971200.

The previous prime is 21234121397. The next prime is 21234121421. The reversal of 21234121400 is 412143212.

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

It is a congruent number.

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, 410171 + ... + 459029.

Almost surely, 221234121400 is an apocalyptic number.

21234121400 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 21234121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25764366600).

21234121400 is an abundant number, since it is smaller than the sum of its proper divisors (30294611800).

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

21234121400 is a wasteful number, since it uses less digits than its factorization.

21234121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48969 (or 48960 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21234121400 its reverse (412143212), we get a palindrome (21646264612).

The spelling of 21234121400 in words is "twenty-one billion, two hundred thirty-four million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 53 82 100 106 164 200 205 212 265 328 410 424 530 820 1025 1060 1325 1640 2050 2120 2173 2650 4100 4346 5300 8200 8692 10600 10865 17384 21730 43460 48859 54325 86920 97718 108650 195436 217300 244295 390872 434600 488590 977180 1221475 1954360 2003219 2442950 2589527 4006438 4885900 5179054 8012876 9771800 10016095 10358108 12947635 16025752 20032190 20716216 25895270 40064380 50080475 51790540 64738175 80128760 100160950 103581080 106170607 129476350 200321900 212341214 258952700 400643800 424682428 517905400 530853035 849364856 1061706070 2123412140 2654265175 4246824280 5308530350 10617060700 21234121400