Search a number
-
+
10221112111122 = 23211431200506473
BaseRepresentation
bin1001010010111100100111…
…0000011011000000010010
31100012010110212200022020100
42110233021300123000102
52314430314200023442
633423303012553230
72103310454312553
oct224571160330022
940163425608210
1010221112111122
113290827360840
121190b05922816
13591b01383733
142749c10a832a
1512ad1baac84c
hex94bc9c1b012

10221112111122 has 48 divisors (see below), whose sum is σ = 24720829312608. Its totient is φ = 3025276309440.

The previous prime is 10221112111097. The next prime is 10221112111129. The reversal of 10221112111122 is 22111121112201.

It is a happy number.

It is a super-2 number, since 2×102211121111222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10221112111095 and 10221112111104.

It is not an unprimeable number, because it can be changed into a prime (10221112111129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600244723 + ... + 600261750.

It is an arithmetic number, because the mean of its divisors is an integer number (515017277346).

Almost surely, 210221112111122 is an apocalyptic number.

10221112111122 is an abundant number, since it is smaller than the sum of its proper divisors (14499717201486).

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

10221112111122 is a wasteful number, since it uses less digits than its factorization.

10221112111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200506535 (or 1200506532 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10221112111122 its reverse (22111121112201), we get a palindrome (32332233223323).

The spelling of 10221112111122 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 1200506473 2401012946 3601519419 7203038838 10804558257 13205571203 21609116514 26411142406 39616713609 51621778339 79233427218 103243556678 118850140827 154865335017 237700281654 309730670034 464596005051 567839561729 929192010102 1135679123458 1703518685187 3407037370374 5110556055561 10221112111122