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123148027242 = 233192329179951
BaseRepresentation
bin111001010110000110…
…0011100010101101010
3102202212101201222001000
41302230030130111222
54004201343332432
6132323505335430
711616502650252
oct1625414342552
9382771658030
10123148027242
114825493a629
121ba4a037576
13b7c7459896
145d63482962
15330b53957c
hex1cac31c56a

123148027242 has 128 divisors (see below), whose sum is σ = 310957056000. Its totient is φ = 35915140800.

The previous prime is 123148027231. The next prime is 123148027243. The reversal of 123148027242 is 242720841321.

123148027242 is a `hidden beast` number, since 1 + 2 + 314 + 80 + 27 + 242 = 666.

It is a super-2 number, since 2×1231480272422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123148027197 and 123148027206.

It is not an unprimeable number, because it can be changed into a prime (123148027243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594367 + ... + 774317.

It is an arithmetic number, because the mean of its divisors is an integer number (2429352000).

Almost surely, 2123148027242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123148027242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155478528000).

123148027242 is an abundant number, since it is smaller than the sum of its proper divisors (187809028758).

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

123148027242 is a wasteful number, since it uses less digits than its factorization.

123148027242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180033 (or 180027 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 123148027242 its reverse (242720841321), we get a palindrome (365868868563).

The spelling of 123148027242 in words is "one hundred twenty-three billion, one hundred forty-eight million, twenty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 23 27 29 38 46 54 57 58 69 87 114 138 171 174 207 261 342 414 437 513 522 551 621 667 783 874 1026 1102 1242 1311 1334 1566 1653 2001 2622 3306 3933 4002 4959 6003 7866 9918 11799 12006 12673 14877 18009 23598 25346 29754 36018 38019 76038 114057 179951 228114 342171 359902 539853 684342 1079706 1619559 3239118 3419069 4138873 4858677 5218579 6838138 8277746 9717354 10257207 10437158 12416619 15655737 20514414 24833238 30771621 31311474 37249857 46967211 61543242 74499714 78638587 92314863 93934422 99153001 111749571 120027317 140901633 157277174 184629726 198306002 223499142 235915761 240054634 281803266 297459003 360081951 471831522 594918006 707747283 720163902 892377009 1080245853 1415494566 1784754018 2123241849 2160491706 2280519023 2677131027 3240737559 4246483698 4561038046 5354262054 6481475118 6841557069 13683114138 20524671207 41049342414 61574013621 123148027242