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21112330000 = 24547328921
BaseRepresentation
bin10011101010011001…
…001001011100010000
32000111100120111011011
4103222121021130100
5321214224030000
613410542300304
71345116562336
oct235231113420
960440514134
1021112330000
118a543a6013
124112587694
131cb5c84878
141043d13b56
1583873a2ba
hex4ea649710

21112330000 has 100 divisors (see below), whose sum is σ = 51817060108. Its totient is φ = 8328960000.

The previous prime is 21112329983. The next prime is 21112330003. The reversal of 21112330000 is 3321112.

It can be written as a sum of positive squares in 10 ways, for example, as 13167103504 + 7945226496 = 114748^2 + 89136^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (21112330003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 715540 + ... + 744460.

Almost surely, 221112330000 is an apocalyptic number.

21112330000 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 21112330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25908530054).

21112330000 is an abundant number, since it is smaller than the sum of its proper divisors (30704730108).

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

21112330000 is an equidigital number, since it uses as much as digits as its factorization.

21112330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29022 (or 29001 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21112330000 its reverse (3321112), we get a palindrome (21115651112).

The spelling of 21112330000 in words is "twenty-one billion, one hundred twelve million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 625 730 1000 1168 1250 1460 1825 2000 2500 2920 3650 5000 5840 7300 9125 10000 14600 18250 28921 29200 36500 45625 57842 73000 91250 115684 144605 146000 182500 231368 289210 365000 462736 578420 723025 730000 1156840 1446050 2111233 2313680 2892100 3615125 4222466 5784200 7230250 8444932 10556165 11568400 14460500 16889864 18075625 21112330 28921000 33779728 36151250 42224660 52780825 57842000 72302500 84449320 105561650 144605000 168898640 211123300 263904125 289210000 422246600 527808250 844493200 1055616500 1319520625 2111233000 2639041250 4222466000 5278082500 10556165000 21112330000