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221310220320021 = 3789971979616843
BaseRepresentation
bin110010010100011111001101…
…000100010011110100010101
31002000121001100202210001211110
4302110133031010103310111
5213001421312400220041
62102404302304125233
764421064366321360
oct6224371504236425
91060531322701743
10221310220320021
1164575156909248
12209a34a1006819
139664605ba7791
143c916869410d7
151a8bbc0228516
hexc947cd113d15

221310220320021 has 64 divisors (see below), whose sum is σ = 344714140108800. Its totient is φ = 123690223742976.

The previous prime is 221310220320019. The next prime is 221310220320031. The reversal of 221310220320021 is 120023022013122.

It is not a de Polignac number, because 221310220320021 - 21 = 221310220320019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221310220320021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221310220320031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358470426 + ... + 359087268.

It is an arithmetic number, because the mean of its divisors is an integer number (5386158439200).

Almost surely, 2221310220320021 is an apocalyptic number.

221310220320021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221310220320021 is a deficient number, since it is larger than the sum of its proper divisors (123403919788779).

221310220320021 is a wasteful number, since it uses less digits than its factorization.

221310220320021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619018.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221310220320021 its reverse (120023022013122), we get a palindrome (341333242333143).

The spelling of 221310220320021 in words is "two hundred twenty-one trillion, three hundred ten billion, two hundred twenty million, three hundred twenty thousand, twenty-one".

Divisors: 1 3 7 21 89 97 267 291 623 679 1869 1979 2037 5937 8633 13853 25899 41559 60431 176131 181293 191963 528393 575889 616843 1232917 1343741 1850529 3698751 4031223 4317901 12953703 17084707 51254121 54899027 59833771 119592949 164697081 179501313 358778847 384293189 418836397 1152879567 1220732297 1256509191 3662196891 5325205619 8545126079 15975616857 25635378237 37276439333 108645174433 111829317999 118411032809 325935523299 355233098427 760516221031 828877229663 2281548663093 2486631688989 10538581920001 31615745760003 73770073440007 221310220320021