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1020221001219 = 37373912993301
BaseRepresentation
bin11101101100010011110…
…10010000111000000011
310121112100221210201102010
432312021322100320003
5113203403034014334
62100403312424003
7133465012266240
oct16661172207003
93545327721363
101020221001219
11363745181452
12145885b48003
137528b6a1814
1437543c1a5c7
151b811ad90e9
hexed89e90e03

1020221001219 has 16 divisors (see below), whose sum is σ = 1555038383360. Its totient is φ = 582827464800.

The previous prime is 1020221001203. The next prime is 1020221001259. The reversal of 1020221001219 is 9121001220201.

It is not a de Polignac number, because 1020221001219 - 24 = 1020221001203 is a prime.

It is a super-2 number, since 2×10202210012192 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1020221001195 and 1020221001204.

It is not an unprimeable number, because it can be changed into a prime (1020221001259) 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 15 ways as a sum of consecutive naturals, for example, 6418132 + ... + 6575169.

It is an arithmetic number, because the mean of its divisors is an integer number (97189898960).

Almost surely, 21020221001219 is an apocalyptic number.

1020221001219 is a deficient number, since it is larger than the sum of its proper divisors (534817382141).

1020221001219 is a wasteful number, since it uses less digits than its factorization.

1020221001219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12997050.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 1020221001219 in words is "one trillion, twenty billion, two hundred twenty-one million, one thousand, two hundred nineteen".

Divisors: 1 3 7 21 3739 11217 26173 78519 12993301 38979903 90953107 272859321 48581952439 145745857317 340073667073 1020221001219