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10022532220242 = 234533823305339
BaseRepresentation
bin1001000111011000110101…
…1110010000010101010010
31022111010220111120122020000
42101312031132100111102
52303202121222021432
633152142052430430
72053050456143433
oct221661536202522
938433814518200
1010022532220242
113214594173643
12115a525918416
13579175334019
1426914385148a
15125a9815157c
hex91d8d790552

10022532220242 has 80 divisors (see below), whose sum is σ = 22887690376320. Its totient is φ = 3276941155488.

The previous prime is 10022532220237. The next prime is 10022532220243. The reversal of 10022532220242 is 24202223522001.

It is a happy number.

10022532220242 is a `hidden beast` number, since 100 + 2 + 2 + 532 + 2 + 2 + 0 + 24 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10022532220243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32671609 + ... + 32976947.

It is an arithmetic number, because the mean of its divisors is an integer number (286096129704).

Almost surely, 210022532220242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022532220242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11443845188160).

10022532220242 is an abundant number, since it is smaller than the sum of its proper divisors (12865158156078).

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

10022532220242 is a wasteful number, since it uses less digits than its factorization.

10022532220242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309229 (or 309220 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10022532220242 its reverse (24202223522001), we get a palindrome (34224755742243).

The spelling of 10022532220242 in words is "ten trillion, twenty-two billion, five hundred thirty-two million, two hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 3823 4293 7646 8586 11469 22938 34407 68814 103221 202619 206442 305339 309663 405238 607857 610678 619326 916017 1215714 1823571 1832034 2748051 3647142 5470713 5496102 8244153 10941426 16182967 16412139 16488306 24732459 32365934 32824278 48548901 49464918 97097802 145646703 291293406 436940109 873880218 1167310997 1310820327 2334621994 2621640654 3501932991 7003865982 10505798973 21011597946 31517396919 61867482841 63034793838 94552190757 123734965682 185602448523 189104381514 371204897046 556807345569 1113614691138 1670422036707 3340844073414 5011266110121 10022532220242