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123053340524322 = 231397131771234271
BaseRepresentation
bin11011111110101010010110…
…101001100111111100100010
3121010200210011212122200220110
4123332222112221213330202
5112112101220133234242
61113413531344552150
734630211330340045
oct3376522651477442
9533623155580813
10123053340524322
11362326a080633a
121197468a922656
135387b59ac9cb0
142255b561c0c5c
15e35d76b4939c
hex6fea96a67f22

123053340524322 has 64 divisors (see below), whose sum is σ = 267790852353024. Its totient is φ = 37469356462080.

The previous prime is 123053340524297. The next prime is 123053340524377. The reversal of 123053340524322 is 223425043350321.

123053340524322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1230533405243222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99080047 + ... + 100314317.

It is an arithmetic number, because the mean of its divisors is an integer number (4184232068016).

Almost surely, 2123053340524322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123053340524322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133895426176512).

123053340524322 is an abundant number, since it is smaller than the sum of its proper divisors (144737511828702).

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

123053340524322 is a wasteful number, since it uses less digits than its factorization.

123053340524322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247563.

The product of its (nonzero) digits is 518400, while the sum is 39.

Adding to 123053340524322 its reverse (223425043350321), we get a palindrome (346478383874643).

The spelling of 123053340524322 in words is "one hundred twenty-three trillion, fifty-three billion, three hundred forty million, five hundred twenty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 97 194 291 582 1261 2522 3783 7566 13177 26354 39531 79062 171301 342602 513903 1027806 1234271 1278169 2468542 2556338 3702813 3834507 7405626 7669014 16045523 16616197 32091046 33232394 48136569 49848591 96273138 99697182 119724287 239448574 359172861 718345722 1556415731 3112831462 4669247193 9338494386 16263988967 32527977934 48791966901 97583933802 211431856571 422863713142 634295569713 1268591139426 1577606929799 3155213859598 4732820789397 9465641578794 20508890087387 41017780174774 61526670262161 123053340524322