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123221210034 = 2313314236569
BaseRepresentation
bin111001011000010001…
…1100111001110110010
3102210001111110000221210
41302300203213032302
54004324112210114
6132335042100550
711621352001206
oct1626043471662
9383044400853
10123221210034
114829218497a
121ba6a64a756
13b809671000
145d6d092b06
153312b93259
hex1cb08e73b2

123221210034 has 64 divisors (see below), whose sum is σ = 267198220800. Its totient is φ = 37881806976.

The previous prime is 123221210029. The next prime is 123221210039. The reversal of 123221210034 is 430012122321.

It is an interprime number because it is at equal distance from previous prime (123221210029) and next prime (123221210039).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123221210039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18754702 + ... + 18761270.

It is an arithmetic number, because the mean of its divisors is an integer number (4174972200).

Almost surely, 2123221210034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123221210034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133599110400).

123221210034 is an abundant number, since it is smaller than the sum of its proper divisors (143977010766).

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

123221210034 is a wasteful number, since it uses less digits than its factorization.

123221210034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 123221210034 its reverse (430012122321), we get a palindrome (553233332355).

The spelling of 123221210034 in words is "one hundred twenty-three billion, two hundred twenty-one million, two hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 1423 2197 2846 4269 4394 6569 6591 8538 13138 13182 18499 19707 36998 39414 55497 85397 110994 170794 240487 256191 480974 512382 721461 1110161 1442922 2220322 3126331 3330483 6252662 6660966 9347687 9378993 14432093 18695374 18757986 28043061 28864186 43296279 56086122 86592558 121519931 243039862 364559793 729119586 1579759103 3159518206 4739277309 9478554618 20536868339 41073736678 61610605017 123221210034