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21113000100 = 22325223458889
BaseRepresentation
bin10011101010011011…
…101101000010100100
32000111101211112100200
4103222123231002210
5321214412000400
613411004510500
71345125353103
oct235233550244
960441745320
1021113000100
118a54813515
12411284b430
131cb615a88a
14104404a03a
1583881db00
hex4ea6ed0a4

21113000100 has 54 divisors (see below), whose sum is σ = 66177528690. Its totient is φ = 5630133120.

The previous prime is 21113000087. The next prime is 21113000101. The reversal of 21113000100 is 100031112.

It can be written as a sum of positive squares in 3 ways, for example, as 3396325284 + 17716674816 = 58278^2 + 133104^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21113000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11728545 + ... + 11730344.

Almost surely, 221113000100 is an apocalyptic number.

21113000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21113000100 is an abundant number, since it is smaller than the sum of its proper divisors (45064528590).

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

21113000100 is a wasteful number, since it uses less digits than its factorization.

21113000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23458909 (or 23458899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 21113000100 its reverse (100031112), we get a palindrome (21213031212).

The spelling of 21113000100 in words is "twenty-one billion, one hundred thirteen million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 23458889 46917778 70376667 93835556 117294445 140753334 211130001 234588890 281506668 351883335 422260002 469177780 586472225 703766670 844520004 1055650005 1172944450 1407533340 1759416675 2111300010 2345888900 3518833350 4222600020 5278250025 7037666700 10556500050 21113000100