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21113000400 = 24352171034951
BaseRepresentation
bin10011101010011011…
…101101000111010000
32000111101211112202210
4103222123231013100
5321214412003100
613411004512120
71345125354012
oct235233550720
960441745683
1021113000400
118a54813768
12411284b640
131cb615aa5b
14104404a1b2
1583881dc50
hex4ea6ed1d0

21113000400 has 120 divisors (see below), whose sum is σ = 71610398784. Its totient is φ = 5298944000.

The previous prime is 21113000369. The next prime is 21113000401. The reversal of 21113000400 is 400031112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113000401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497076 + ... + 537875.

Almost surely, 221113000400 is an apocalyptic number.

21113000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21113000400 is an abundant number, since it is smaller than the sum of its proper divisors (50497398384).

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

21113000400 is a wasteful number, since it uses less digits than its factorization.

21113000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034989 (or 1034978 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21113000400 its reverse (400031112), we get a palindrome (21513031512).

The spelling of 21113000400 in words is "twenty-one billion, one hundred thirteen million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 1034951 2069902 3104853 4139804 5174755 6209706 8279608 10349510 12419412 15524265 16559216 17594167 20699020 24838824 25873775 31048530 35188334 41398040 49677648 51747550 52782501 62097060 70376668 77621325 82796080 87970835 103495100 105565002 124194120 140753336 155242650 175941670 206990200 211130004 248388240 263912505 281506672 310485300 351883340 413980400 422260008 439854175 527825010 620970600 703766680 844520016 879708350 1055650020 1241941200 1319562525 1407533360 1759416700 2111300040 2639125050 3518833400 4222600080 5278250100 7037666800 10556500200 21113000400