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21101200020 = 22325176895817
BaseRepresentation
bin10011101001101110…
…101100001010010100
32000110120122000200200
4103221232230022110
5321203401400040
613405503540500
71344623145405
oct235156541224
960416560620
1021101200020
118a4909398a
12410a8ba730
131cb3888894
1410426579ac
1583778c630
hex4e9bac294

21101200020 has 72 divisors (see below), whose sum is σ = 67772099304. Its totient is φ = 5295986688.

The previous prime is 21101200007. The next prime is 21101200033. The reversal of 21101200020 is 2000210112.

It is an interprime number because it is at equal distance from previous prime (21101200007) and next prime (21101200033).

It can be written as a sum of positive squares in 4 ways, for example, as 8276996484 + 12824203536 = 90978^2 + 113244^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 21101199975 and 21101200011.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3444849 + ... + 3450968.

It is an arithmetic number, because the mean of its divisors is an integer number (941279157).

Almost surely, 221101200020 is an apocalyptic number.

21101200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101200020 is an abundant number, since it is smaller than the sum of its proper divisors (46670899284).

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

21101200020 is a wasteful number, since it uses less digits than its factorization.

21101200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6895849 (or 6895844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21101200020 its reverse (2000210112), we get a palindrome (23101410132).

The spelling of 21101200020 in words is "twenty-one billion, one hundred one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6895817 13791634 20687451 27583268 34479085 41374902 62062353 68958170 82749804 103437255 117228889 124124706 137916340 206874510 234457778 248249412 310311765 351686667 413749020 468915556 586144445 620623530 703373334 1055060001 1172288890 1241247060 1406746668 1758433335 2110120002 2344577780 3516866670 4220240004 5275300005 7033733340 10550600010 21101200020