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21122210120 = 2351124364093
BaseRepresentation
bin10011101010111110…
…110101100101001000
32000112001011110010112
4103222332311211020
5321224241210440
613411534133452
71345266552344
oct235276654510
960461143115
1021122210120
118a59a34100
124115951288
131cb80339ab
141045366624
1583953c965
hex4eafb5948

21122210120 has 48 divisors (see below), whose sum is σ = 52238205180. Its totient is φ = 7680801920.

The previous prime is 21122210077. The next prime is 21122210129. The reversal of 21122210120 is 2101222112.

It can be written as a sum of positive squares in 2 ways, for example, as 20091928516 + 1030281604 = 141746^2 + 32098^2 .

It is a super-2 number, since 2×211222101202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122210095 and 21122210104.

It is not an unprimeable number, because it can be changed into a prime (21122210129) 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 11 ways as a sum of consecutive naturals, for example, 2177207 + ... + 2186886.

Almost surely, 221122210120 is an apocalyptic number.

21122210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122210120 is an abundant number, since it is smaller than the sum of its proper divisors (31115995060).

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

21122210120 is a wasteful number, since it uses less digits than its factorization.

21122210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364126 (or 4364111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21122210120 its reverse (2101222112), we get a palindrome (23223432232).

The spelling of 21122210120 in words is "twenty-one billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 4364093 8728186 17456372 21820465 34912744 43640930 48005023 87281860 96010046 174563720 192020092 240025115 384040184 480050230 528055253 960100460 1056110506 1920200920 2112221012 2640276265 4224442024 5280552530 10561105060 21122210120