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1000221001011 = 323141367123819
BaseRepresentation
bin11101000111000011101…
…00010100010100110011
310112121202010021102212200
432203201310110110303
5112341423034013021
62043254543154243
7132156260141601
oct16434164242463
93477663242780
101000221001011
11356211752261
12141a23ba5983
1373421cc6a7b
14365a7934871
151b040d6d126
hexe8e1d14533

1000221001011 has 48 divisors (see below), whose sum is σ = 1528224122880. Its totient is φ = 629366832000.

The previous prime is 1000221001009. The next prime is 1000221001049. The reversal of 1000221001011 is 1101001220001.

It is a happy number.

It is not a de Polignac number, because 1000221001011 - 21 = 1000221001009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000221000984 and 1000221001002.

It is not an unprimeable number, because it can be changed into a prime (1000221000011) 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 47 ways as a sum of consecutive naturals, for example, 41980660 + ... + 42004478.

It is an arithmetic number, because the mean of its divisors is an integer number (31838002560).

Almost surely, 21000221001011 is an apocalyptic number.

1000221001011 is a deficient number, since it is larger than the sum of its proper divisors (528003121869).

1000221001011 is a wasteful number, since it uses less digits than its factorization.

1000221001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27568 (or 27565 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000221001011 its reverse (1101001220001), we get a palindrome (2101222221012).

The spelling of 1000221001011 in words is "one trillion, two hundred twenty-one million, one thousand, eleven".

Divisors: 1 3 9 31 41 93 123 279 369 1271 3671 3813 11013 11439 23819 33039 71457 113801 150511 214371 341403 451533 738389 976579 1024209 1354599 2215167 2929737 4665841 6645501 8789211 13997523 30273949 41992569 87439549 90821847 262318647 272465541 786955941 2710626019 3585021509 8131878057 10755064527 24395634171 32265193581 111135666779 333407000337 1000221001011