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113102022 = 231119247101
BaseRepresentation
bin1101011110111…
…00110011000110
321212211011210210
412233130303012
5212423231042
615120100250
72542231335
oct657346306
9255734723
10113102022
1158930250
1231a64686
131a580297
1411041d1c
159de1a9c
hex6bdccc6

113102022 has 96 divisors (see below), whose sum is σ = 268614144. Its totient is φ = 31464000.

The previous prime is 113101999. The next prime is 113102047. The reversal of 113102022 is 220201311.

It is a junction number, because it is equal to n+sod(n) for n = 113101989 and 113102007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1119772 + ... + 1119872.

It is an arithmetic number, because the mean of its divisors is an integer number (2798064).

Almost surely, 2113102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134307072).

113102022 is an abundant number, since it is smaller than the sum of its proper divisors (155512122).

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

113102022 is a wasteful number, since it uses less digits than its factorization.

113102022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

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

The square root of 113102022 is about 10634.9434413165. The cubic root of 113102022 is about 483.6042658042.

Adding to 113102022 its reverse (220201311), we get a palindrome (333303333).

The spelling of 113102022 in words is "one hundred thirteen million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 47 57 66 94 101 114 141 202 209 282 303 361 418 517 606 627 722 893 1034 1083 1111 1254 1551 1786 1919 2166 2222 2679 3102 3333 3838 3971 4747 5358 5757 6666 7942 9494 9823 11514 11913 14241 16967 19646 21109 23826 28482 29469 33934 36461 42218 50901 52217 58938 63327 72922 90193 101802 104434 109383 126654 156651 180386 186637 218766 270579 313302 373274 401071 541158 559911 802142 992123 1119822 1203213 1713667 1984246 2406426 2976369 3427334 5141001 5952738 10282002 18850337 37700674 56551011 113102022