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101222022 = 2311972163
BaseRepresentation
bin1100000100010…
…00011010000110
321001110121111210
412002020122012
5201403101042
614013312250
72336241636
oct602103206
9231417453
10101222022
1152156670
1229a95686
1317c80ab5
14d62c6c6
158d46a9c
hex6088686

101222022 has 48 divisors (see below), whose sum is σ = 224517312. Its totient is φ = 30170880.

The previous prime is 101222021. The next prime is 101222041. The reversal of 101222022 is 220222101.

It is a junction number, because it is equal to n+sod(n) for n = 101221989 and 101222007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222021) 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, 620913 + ... + 621075.

It is an arithmetic number, because the mean of its divisors is an integer number (4677444).

Almost surely, 2101222022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112258656).

101222022 is an abundant number, since it is smaller than the sum of its proper divisors (123295290).

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

101222022 is a wasteful number, since it uses less digits than its factorization.

101222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101222022 is about 10060.9155646989. The cubic root of 101222022 is about 466.0419414932.

Adding to 101222022 its reverse (220222101), we get a palindrome (321444123).

The spelling of 101222022 in words is "one hundred one million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 97 163 194 291 326 489 582 978 1067 1793 2134 3201 3586 5379 6402 9409 10758 15811 18818 28227 31622 47433 56454 94866 103499 173921 206998 310497 347842 521763 620994 1043526 1533667 3067334 4601001 9202002 16870337 33740674 50611011 101222022