Search a number
-
+
103112022 = 23134371433
BaseRepresentation
bin1100010010101…
…01110101010110
321012000122002210
412021111311112
5202344041042
614122014250
72361303066
oct611256526
9235018083
10103112022
1153227652
122a647386
1318493140
14d9a13a6
1590bba9c
hex6255d56

103112022 has 64 divisors (see below), whose sum is σ = 230985216. Its totient is φ = 30481920.

The previous prime is 103111991. The next prime is 103112027. The reversal of 103112022 is 220211301.

It is a junction number, because it is equal to n+sod(n) for n = 103111989 and 103112007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237918 + ... + 238350.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2103112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608).

103112022 is an abundant number, since it is smaller than the sum of its proper divisors (127873194).

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

103112022 is a wasteful number, since it uses less digits than its factorization.

103112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 103112022 is about 10154.4089931418. The cubic root of 103112022 is about 468.9246912267.

Adding to 103112022 its reverse (220211301), we get a palindrome (323323323).

The spelling of 103112022 in words is "one hundred three million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 43 71 78 86 129 142 213 258 426 433 559 866 923 1118 1299 1677 1846 2598 2769 3053 3354 5538 5629 6106 9159 11258 16887 18318 18619 30743 33774 37238 39689 55857 61486 79378 92229 111714 119067 184458 238134 242047 399659 484094 726141 799318 1198977 1321949 1452282 2397954 2643898 3965847 7931694 17185337 34370674 51556011 103112022