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123641130 = 23567137449
BaseRepresentation
bin1110101111010…
…01110100101010
322121122121202010
413113221310222
5223123004010
620134020350
73030634524
oct727516452
9277577663
10123641130
1163879458
12354a76b6
131c800342
14125c6a14
15acc4620
hex75e9d2a

123641130 has 64 divisors (see below), whose sum is σ = 304041600. Its totient is φ = 32169984.

The previous prime is 123641129. The next prime is 123641131. The reversal of 123641130 is 31146321.

It is an interprime number because it is at equal distance from previous prime (123641129) and next prime (123641131).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123641097 and 123641106.

It is not an unprimeable number, because it can be changed into a prime (123641131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275146 + ... + 275594.

It is an arithmetic number, because the mean of its divisors is an integer number (4750650).

Almost surely, 2123641130 is an apocalyptic number.

123641130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123641130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152020800).

123641130 is an abundant number, since it is smaller than the sum of its proper divisors (180400470).

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

123641130 is a wasteful number, since it uses less digits than its factorization.

123641130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 123641130 is about 11119.4033113293. The cubic root of 123641130 is about 498.1815679605.

Adding to 123641130 its reverse (31146321), we get a palindrome (154787451).

The spelling of 123641130 in words is "one hundred twenty-three million, six hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 137 201 274 335 402 411 449 670 685 822 898 1005 1347 1370 2010 2055 2245 2694 4110 4490 6735 9179 13470 18358 27537 30083 45895 55074 60166 61513 90249 91790 123026 137685 150415 180498 184539 275370 300830 307565 369078 451245 615130 902490 922695 1845390 4121371 8242742 12364113 20606855 24728226 41213710 61820565 123641130