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21113031400 = 23521511634289
BaseRepresentation
bin10011101010011011…
…110100101011101000
32000111101220010021221
4103222123310223220
5321214414001100
613411005311424
71345125543256
oct235233645350
960441803257
1021113031400
118a54834a8a
124112865574
131cb616bbb6
1410440575d6
1583882801a
hex4ea6f4ae8

21113031400 has 96 divisors (see below), whose sum is σ = 49727620800. Its totient is φ = 8335872000.

The previous prime is 21113031377. The next prime is 21113031403. The reversal of 21113031400 is 413031112.

It is not an unprimeable number, because it can be changed into a prime (21113031403) by changing a digit.

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, 4920456 + ... + 4924744.

It is an arithmetic number, because the mean of its divisors is an integer number (517996050).

Almost surely, 221113031400 is an apocalyptic number.

21113031400 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 21113031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24863810400).

21113031400 is an abundant number, since it is smaller than the sum of its proper divisors (28614589400).

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

21113031400 is a wasteful number, since it uses less digits than its factorization.

21113031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21113031400 its reverse (413031112), we get a palindrome (21526062512).

The spelling of 21113031400 in words is "twenty-one billion, one hundred thirteen million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 163 200 302 326 604 652 755 815 1208 1304 1510 1630 3020 3260 3775 4075 4289 6040 6520 7550 8150 8578 15100 16300 17156 21445 24613 30200 32600 34312 42890 49226 85780 98452 107225 123065 171560 196904 214450 246130 428900 492260 615325 647639 699107 857800 984520 1230650 1295278 1398214 2461300 2590556 2796428 3238195 3495535 4922600 5181112 5592856 6476390 6991070 12952780 13982140 16190975 17477675 25905560 27964280 32381950 34955350 64763900 69910700 105565157 129527800 139821400 211130314 422260628 527825785 844521256 1055651570 2111303140 2639128925 4222606280 5278257850 10556515700 21113031400