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123122034 = 23276183193
BaseRepresentation
bin1110101011010…
…11000101110010
322120200020200100
413111223011302
5223004401114
620114533230
73023343240
oct725530562
9276606610
10123122034
1163554452
1235297216
131c67ac99
14124cd790
15ac20909
hex756b172

123122034 has 96 divisors (see below), whose sum is σ = 315229824. Its totient is φ = 34007040.

The previous prime is 123122017. The next prime is 123122063. The reversal of 123122034 is 430221321.

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

It is a junction number, because it is equal to n+sod(n) for n = 123121998 and 123122016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637842 + ... + 638034.

It is an arithmetic number, because the mean of its divisors is an integer number (3283644).

Almost surely, 2123122034 is an apocalyptic number.

123122034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123122034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157614912).

123122034 is an abundant number, since it is smaller than the sum of its proper divisors (192107790).

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

123122034 is a wasteful number, since it uses less digits than its factorization.

123122034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 349 counting only the distinct ones).

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

The square root of 123122034 is about 11096.0368600686. The cubic root of 123122034 is about 497.4834000336.

Adding to 123122034 its reverse (430221321), we get a palindrome (553343355).

The spelling of 123122034 in words is "one hundred twenty-three million, one hundred twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 83 122 126 166 183 193 249 366 386 427 498 549 579 581 747 854 1098 1158 1162 1281 1351 1494 1737 1743 2562 2702 3474 3486 3843 4053 5063 5229 7686 8106 10126 10458 11773 12159 15189 16019 23546 24318 30378 32038 35319 35441 45567 48057 70638 70882 82411 91134 96114 105957 106323 112133 144171 164822 211914 212646 224266 247233 288342 318969 336399 494466 637938 672798 741699 977159 1009197 1483398 1954318 2018394 2931477 5862954 6840113 8794431 13680226 17588862 20520339 41040678 61561017 123122034