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10221220331 = 74757154409
BaseRepresentation
bin10011000010011101…
…10111000111101011
3222101100000210100222
421201032313013223
5131413113022311
64410124120255
7511201640120
oct114116670753
928340023328
1010221220331
114375681133
121b9309608b
13c6b79448a
146cd6aa747
153ec509adb
hex2613b71eb

10221220331 has 16 divisors (see below), whose sum is σ = 11951047680. Its totient is φ = 8559466560.

The previous prime is 10221220307. The next prime is 10221220343. The reversal of 10221220331 is 13302212201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221220331 is a prime.

It is a super-2 number, since 2×102212203312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221228331) 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, 160655 + ... + 215063.

It is an arithmetic number, because the mean of its divisors is an integer number (746940480).

Almost surely, 210221220331 is an apocalyptic number.

10221220331 is a deficient number, since it is larger than the sum of its proper divisors (1729827349).

10221220331 is an equidigital number, since it uses as much as digits as its factorization.

10221220331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55034.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10221220331 its reverse (13302212201), we get a palindrome (23523432532).

The spelling of 10221220331 in words is "ten billion, two hundred twenty-one million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 7 47 329 571 3997 26837 54409 187859 380863 2557223 17900561 31067539 217472773 1460174333 10221220331