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42231011022 = 232231011079439
BaseRepresentation
bin100111010101001010…
…100001011011001110
311001000011002122021100
4213111022201123032
51142442114323042
631222313043530
73023344446054
oct472512413316
9131004078240
1042231011022
1116a01339702
1282270b65a6
133ca0351125
1420889dc1d4
1511727cc24c
hex9d52a16ce

42231011022 has 96 divisors (see below), whose sum is σ = 97335613440. Its totient is φ = 13205649600.

The previous prime is 42231010951. The next prime is 42231011027. The reversal of 42231011022 is 22011013224.

It is a happy number.

42231011022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42231010986 and 42231011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42231011027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4469379 + ... + 4478817.

It is an arithmetic number, because the mean of its divisors is an integer number (1013912640).

Almost surely, 242231011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42231011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48667806720).

42231011022 is an abundant number, since it is smaller than the sum of its proper divisors (55104602418).

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

42231011022 is a wasteful number, since it uses less digits than its factorization.

42231011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9678 (or 9675 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42231011022 its reverse (22011013224), we get a palindrome (64242024246).

The spelling of 42231011022 in words is "forty-two billion, two hundred thirty-one million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 101 107 138 202 207 214 303 321 414 606 642 909 963 1818 1926 2323 2461 4646 4922 6969 7383 9439 10807 13938 14766 18878 20907 21614 22149 28317 32421 41814 44298 56634 64842 84951 97263 169902 194526 217097 248561 434194 497122 651291 745683 953339 1009973 1302582 1491366 1906678 1953873 2019946 2237049 2860017 3029919 3907746 4474098 5720034 6059838 8580051 9089757 17160102 18179514 21926797 23229379 43853594 46458758 65780391 69688137 102007273 131560782 139376274 197341173 204014546 209064411 306021819 394682346 418128822 612043638 918065457 1836130914 2346167279 4692334558 7038501837 14077003674 21115505511 42231011022