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123130224 = 243272347113
BaseRepresentation
bin1110101011011…
…01000101110000
322120200122220200
413111231011300
5223010131344
620115035200
73023406150
oct725550560
9276618820
10123130224
116355a618
123529bb00
131c681929
14124d2760
15ac23069
hex756d170

123130224 has 240 divisors, whose sum is σ = 423401472. Its totient is φ = 32643072.

The previous prime is 123130223. The next prime is 123130243. The reversal of 123130224 is 422031321.

It is a super-2 number, since 2×1231302242 = 30322104124580352, which contains 22 as substring.

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 = 123130197 and 123130206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130223) 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, 1089592 + ... + 1089704.

Almost surely, 2123130224 is an apocalyptic number.

123130224 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 123130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700736).

123130224 is an abundant number, since it is smaller than the sum of its proper divisors (300271248).

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

123130224 is a wasteful number, since it uses less digits than its factorization.

123130224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

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

The square root of 123130224 is about 11096.4059046161. The cubic root of 123130224 is about 497.4944305497.

Adding to 123130224 its reverse (422031321), we get a palindrome (545161545).

The spelling of 123130224 in words is "one hundred twenty-three million, one hundred thirty thousand, two hundred twenty-four".