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1000221220323 = 3213173419117937
BaseRepresentation
bin11101000111000011101…
…01001001110111100011
310112121202010200120201100
432203201311021313203
5112341423113022243
62043254552005443
7132156262044153
oct16434165116743
93477663616640
101000221220323
11356211892006
12141a24090883
1373422072840
14365a7990763
151b040db30d3
hexe8e1d49de3

1000221220323 has 48 divisors (see below), whose sum is σ = 1568641445280. Its totient is φ = 610497119232.

The previous prime is 1000221220177. The next prime is 1000221220343. The reversal of 1000221220323 is 3230221220001.

1000221220323 is a `hidden beast` number, since 100 + 0 + 2 + 21 + 220 + 323 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1000221220323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000221220296 and 1000221220305.

It is not an unprimeable number, because it can be changed into a prime (1000221220343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8422011 + ... + 8539947.

It is an arithmetic number, because the mean of its divisors is an integer number (32680030110).

Almost surely, 21000221220323 is an apocalyptic number.

1000221220323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1000221220323 is a deficient number, since it is larger than the sum of its proper divisors (568420224957).

1000221220323 is a wasteful number, since it uses less digits than its factorization.

1000221220323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118548 (or 118545 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1000221220323 its reverse (3230221220001), we get a palindrome (4230442440324).

The spelling of 1000221220323 in words is "one trillion, two hundred twenty-one million, two hundred twenty thousand, three hundred twenty-three".

Divisors: 1 3 9 13 39 117 173 419 519 1257 1557 2249 3771 5447 6747 16341 20241 49023 72487 117937 217461 353811 652383 942331 1061433 1533181 2826993 4599543 8480979 13798629 20403101 49415603 61209303 148246809 183627909 265240313 444740427 642402839 795720939 1927208517 2387162817 5781625551 8548899319 25646697957 76940093871 111135691147 333407073441 1000221220323