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123133320 = 23325342037
BaseRepresentation
bin1110101011011…
…01110110001000
322120200211011100
413111231312020
5223010231240
620115101400
73023421162
oct725556610
9276624140
10123133320
1163561982
12352a1860
131c68316b
14124d3932
15ac23e30
hex756dd88

123133320 has 48 divisors (see below), whose sum is σ = 400184460. Its totient is φ = 32835456.

The previous prime is 123133313. The next prime is 123133331. The reversal of 123133320 is 23331321.

It can be written as a sum of positive squares in 2 ways, for example, as 119377476 + 3755844 = 10926^2 + 1938^2 .

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 = 123133293 and 123133302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170659 + ... + 171378.

Almost surely, 2123133320 is an apocalyptic number.

123133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123133320 is an abundant number, since it is smaller than the sum of its proper divisors (277051140).

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

123133320 is a wasteful number, since it uses less digits than its factorization.

123133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342054 (or 342047 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 123133320 is about 11096.5454083692. The cubic root of 123133320 is about 497.4986001998.

Adding to 123133320 its reverse (23331321), we get a palindrome (146464641).

The spelling of 123133320 in words is "one hundred twenty-three million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 342037 684074 1026111 1368148 1710185 2052222 2736296 3078333 3420370 4104444 5130555 6156666 6840740 8208888 10261110 12313332 13681480 15391665 20522220 24626664 30783330 41044440 61566660 123133320