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123321042 = 23513131149
BaseRepresentation
bin1110101100110…
…11101011010010
322121001100200000
413112123223102
5223032233132
620123110430
73025132365
oct726335322
9277040600
10123321042
116367aa19
1235372416
131c71a740
14125420dc
15ac5e87c
hex759bad2

123321042 has 96 divisors (see below), whose sum is σ = 302702400. Its totient is φ = 37402560.

The previous prime is 123321041. The next prime is 123321049. The reversal of 123321042 is 240123321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (123321041) 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, 827584 + ... + 827732.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 2123321042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123321042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151351200).

123321042 is an abundant number, since it is smaller than the sum of its proper divisors (179381358).

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

123321042 is a wasteful number, since it uses less digits than its factorization.

123321042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123321042 is about 11105.0007654210. Note that the first 3 decimals coincide. The cubic root of 123321042 is about 497.7512911114.

Adding to 123321042 its reverse (240123321), we get a palindrome (363444363).

The spelling of 123321042 in words is "one hundred twenty-three million, three hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 131 149 162 234 243 262 298 351 393 447 486 702 786 894 1053 1179 1341 1703 1937 2106 2358 2682 3159 3406 3537 3874 4023 5109 5811 6318 7074 8046 10218 10611 11622 12069 15327 17433 19519 21222 24138 30654 31833 34866 36207 39038 45981 52299 58557 63666 72414 91962 104598 117114 137943 156897 175671 253747 275886 313794 351342 413829 470691 507494 527013 761241 827658 941382 1054026 1522482 1581039 2283723 3162078 4567446 4743117 6851169 9486234 13702338 20553507 41107014 61660521 123321042