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123023000 = 2353432861
BaseRepresentation
bin1110101010100…
…10111010011000
322120111012211102
413111102322120
5222443214000
620112450532
73022451432
oct725227230
9276435742
10123023000
1163497001
1235249a48
131c644b99
14124a5652
15ac013d5
hex7552e98

123023000 has 64 divisors (see below), whose sum is σ = 294671520. Its totient is φ = 48048000.

The previous prime is 123022993. The next prime is 123023003. The reversal of 123023000 is 320321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123023003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41570 + ... + 44430.

Almost surely, 2123023000 is an apocalyptic number.

123023000 is a gapful number since it is divisible by the number (10) 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 123023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147335760).

123023000 is an abundant number, since it is smaller than the sum of its proper divisors (171648520).

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

123023000 is a wasteful number, since it uses less digits than its factorization.

123023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 123023000 is about 11091.5733780199. The cubic root of 123023000 is about 497.3499795971.

Adding to 123023000 its reverse (320321), we get a palindrome (123343321).

The spelling of 123023000 in words is "one hundred twenty-three million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 2861 4300 5375 5722 8600 10750 11444 14305 21500 22888 28610 43000 57220 71525 114440 123023 143050 246046 286100 357625 492092 572200 615115 715250 984184 1230230 1430500 2460460 2861000 3075575 4920920 6151150 12302300 15377875 24604600 30755750 61511500 123023000