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123200020 = 22517362353
BaseRepresentation
bin1110101011111…
…10001000010100
322120211012122201
413111332020110
5223014400040
620120334244
73024116506
oct725761024
9276735581
10123200020
11635a7aa9
1235314384
131c6a7628
141250dd76
15ac38a9a
hex757e214

123200020 has 24 divisors (see below), whose sum is σ = 273939624. Its totient is φ = 46381056.

The previous prime is 123200017. The next prime is 123200023. The reversal of 123200020 is 20002321.

It is an interprime number because it is at equal distance from previous prime (123200017) and next prime (123200023).

It can be written as a sum of positive squares in 4 ways, for example, as 18096516 + 105103504 = 4254^2 + 10252^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123200023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180837 + ... + 181516.

It is an arithmetic number, because the mean of its divisors is an integer number (11414151).

Almost surely, 2123200020 is an apocalyptic number.

123200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123200020 is an abundant number, since it is smaller than the sum of its proper divisors (150739604).

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

123200020 is a wasteful number, since it uses less digits than its factorization.

123200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362379 (or 362377 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 123200020 is about 11099.5504413467. The cubic root of 123200020 is about 497.5884138716.

Adding to 123200020 its reverse (20002321), we get a palindrome (143202341).

The spelling of 123200020 in words is "one hundred twenty-three million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 362353 724706 1449412 1811765 3623530 6160001 7247060 12320002 24640004 30800005 61600010 123200020