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123030432224 = 25713710333881
BaseRepresentation
bin111001010010100101…
…1110110100111100000
3102202120012110111222222
41302211023312213200
54003431242312344
6132304105050212
711613544263530
oct1624513664740
9382505414888
10123030432224
11481a4520767
121ba16786968
13b7a8c9552b
145d519d14c0
15330105b5ee
hex1ca52f69e0

123030432224 has 96 divisors (see below), whose sum is σ = 279180893376. Its totient is φ = 52278312960.

The previous prime is 123030432139. The next prime is 123030432227. The reversal of 123030432224 is 422234030321.

It is a junction number, because it is equal to n+sod(n) for n = 123030432193 and 123030432202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123030432227) 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 15 ways as a sum of consecutive naturals, for example, 31698764 + ... + 31702644.

It is an arithmetic number, because the mean of its divisors is an integer number (2908134306).

Almost surely, 2123030432224 is an apocalyptic number.

123030432224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123030432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139590446688).

123030432224 is an abundant number, since it is smaller than the sum of its proper divisors (156150461152).

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

123030432224 is a wasteful number, since it uses less digits than its factorization.

123030432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 123030432224 its reverse (422234030321), we get a palindrome (545264462545).

The spelling of 123030432224 in words is "one hundred twenty-three billion, thirty million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1033 1096 1918 2066 2192 3836 3881 4132 4384 7231 7672 7762 8264 14462 15344 15524 16528 27167 28924 30688 31048 33056 54334 57848 62096 108668 115696 124192 141521 217336 231392 283042 434672 531697 566084 869344 990647 1063394 1132168 1981294 2126788 2264336 3721879 3962588 4009073 4253576 4528672 7443758 7925176 8018146 8507152 14887516 15850352 16036292 17014304 28063511 29775032 31700704 32072584 56127022 59550064 64145168 112254044 119100128 128290336 224508088 449016176 549243001 898032352 1098486002 2196972004 3844701007 4393944008 7689402014 8787888016 15378804028 17575776032 30757608056 61515216112 123030432224