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1020021002220 = 2235111545486367
BaseRepresentation
bin11101101011111011111…
…11010100111111101100
310121111212000110201100210
432311331333110333230
5113203000334032340
62100331410022420
7133460033314623
oct16657577247754
93544760421323
101020021002220
1136365229a220
1214582ab77a10
1375259117b0c
14375254386ba
151b7ee280180
hexed7dfd4fec

1020021002220 has 48 divisors (see below), whose sum is σ = 3115700517888. Its totient is φ = 247277818560.

The previous prime is 1020021002213. The next prime is 1020021002227. The reversal of 1020021002220 is 222001200201.

It is an interprime number because it is at equal distance from previous prime (1020021002213) and next prime (1020021002227).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020021002196 and 1020021002205.

It is not an unprimeable number, because it can be changed into a prime (1020021002227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772742524 + ... + 772743843.

It is an arithmetic number, because the mean of its divisors is an integer number (64910427456).

Almost surely, 21020021002220 is an apocalyptic number.

1020021002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020021002220 is an abundant number, since it is smaller than the sum of its proper divisors (2095679515668).

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

1020021002220 is a wasteful number, since it uses less digits than its factorization.

1020021002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545486390 (or 1545486388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020021002220 its reverse (222001200201), we get a palindrome (1242022202421).

The spelling of 1020021002220 in words is "one trillion, twenty billion, twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1545486367 3090972734 4636459101 6181945468 7727431835 9272918202 15454863670 17000350037 18545836404 23182295505 30909727340 34000700074 46364591010 51001050111 68001400148 85001750185 92729182020 102002100222 170003500370 204004200444 255005250555 340007000740 510010501110 1020021002220