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21123131220 = 22325117350729
BaseRepresentation
bin10011101011000010…
…010110011101010100
32000112002220020122100
4103223002112131110
5321230010144340
613412010002100
71345310436642
oct235302263524
960462806570
1021123131220
118a5a503144
124116116330
131cb8297019
141045526192
15839670830
hex4eb096754

21123131220 has 36 divisors (see below), whose sum is σ = 64073498580. Its totient is φ = 5632834944.

The previous prime is 21123131203. The next prime is 21123131221. The reversal of 21123131220 is 2213132112.

21123131220 is a `hidden beast` number, since 211 + 231 + 3 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9163084176 + 11960047044 = 95724^2 + 109362^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21123131193 and 21123131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21123131221) 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 11 ways as a sum of consecutive naturals, for example, 58675185 + ... + 58675544.

It is an arithmetic number, because the mean of its divisors is an integer number (1779819405).

Almost surely, 221123131220 is an apocalyptic number.

21123131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21123131220 is an abundant number, since it is smaller than the sum of its proper divisors (42950367360).

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

21123131220 is a wasteful number, since it uses less digits than its factorization.

21123131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117350744 (or 117350739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21123131220 its reverse (2213132112), we get a palindrome (23336263332).

The spelling of 21123131220 in words is "twenty-one billion, one hundred twenty-three million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117350729 234701458 352052187 469402916 586753645 704104374 1056156561 1173507290 1408208748 1760260935 2112313122 2347014580 3520521870 4224626244 5280782805 7041043740 10561565610 21123131220