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123030020 = 22517477699
BaseRepresentation
bin1110101010101…
…00101000000100
322120111120110102
413111110220010
5222443430040
620112543232
73022511051
oct725245004
9276446412
10123030020
11634a1303
1235251b18
131c648139
14124a8028
15ac03515
hex7554a04

123030020 has 48 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 45325824.

The previous prime is 123029999. The next prime is 123030029. The reversal of 123030020 is 20030321.

It is a junction number, because it is equal to n+sod(n) for n = 123029983 and 123030010.

It is not an unprimeable number, because it can be changed into a prime (123030029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12131 + ... + 19829.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2123030020 is an apocalyptic number.

123030020 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 123030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

123030020 is an abundant number, since it is smaller than the sum of its proper divisors (156387580).

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

123030020 is a wasteful number, since it uses less digits than its factorization.

123030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772 (or 7770 counting only the distinct ones).

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

The square root of 123030020 is about 11091.8898299613. The cubic root of 123030020 is about 497.3594394284.

Adding to 123030020 its reverse (20030321), we get a palindrome (143060341).

The spelling of 123030020 in words is "one hundred twenty-three million, thirty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1598 3196 3995 7699 7990 15398 15980 30796 38495 76990 130883 153980 261766 361853 523532 654415 723706 1308830 1447412 1809265 2617660 3618530 6151501 7237060 12303002 24606004 30757505 61515010 123030020