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1020221000993 = 29185161189997
BaseRepresentation
bin11101101100010011110…
…10010000110100100001
310121112100221210201002202
432312021322100310201
5113203403034012433
62100403312422545
7133465012265465
oct16661172206441
93545327721082
101020221000993
11363745181267
12145885b47a55
137528b6a169c
1437543c1a4a5
151b811ad8ee8
hexed89e90d21

1020221000993 has 8 divisors (see below), whose sum is σ = 1055412290280. Its totient is φ = 985030462080.

The previous prime is 1020221000989. The next prime is 1020221001017. The reversal of 1020221000993 is 3990001220201.

It can be written as a sum of positive squares in 4 ways, for example, as 751143649 + 1019469857344 = 27407^2 + 1009688^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020221000993 - 22 = 1020221000989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020221000923) 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 7 ways as a sum of consecutive naturals, for example, 5274671 + ... + 5464667.

It is an arithmetic number, because the mean of its divisors is an integer number (131926536285).

Almost surely, 21020221000993 is an apocalyptic number.

It is an amenable number.

1020221000993 is a deficient number, since it is larger than the sum of its proper divisors (35191289287).

1020221000993 is a wasteful number, since it uses less digits than its factorization.

1020221000993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375187.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 1020221000993 in words is "one trillion, twenty billion, two hundred twenty-one million, nine hundred ninety-three", and thus it is an aban number.

Divisors: 1 29 185161 189997 5369669 5509913 35180034517 1020221000993