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123014340200 = 23522921209369
BaseRepresentation
bin111001010010000111…
…0011101111001101000
3102202112002011221220002
41302210032131321220
54003413132341300
6132302332122132
711613260432153
oct1624416357150
9382462157802
10123014340200
114819642a574
121ba11306348
13b7a584cb1b
145d4d802c9a
1532ee92d5d5
hex1ca439de68

123014340200 has 48 divisors (see below), whose sum is σ = 295870711500. Its totient is φ = 47508984320.

The previous prime is 123014340199. The next prime is 123014340289. The reversal of 123014340200 is 2043410321.

It can be written as a sum of positive squares in 6 ways, for example, as 64519048036 + 58495292164 = 254006^2 + 241858^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10598885 + ... + 10610484.

Almost surely, 2123014340200 is an apocalyptic number.

123014340200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123014340200 is an abundant number, since it is smaller than the sum of its proper divisors (172856371300).

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

123014340200 is a wasteful number, since it uses less digits than its factorization.

123014340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21209414 (or 21209405 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 123014340200 its reverse (2043410321), we get a palindrome (125057750521).

The spelling of 123014340200 in words is "one hundred twenty-three billion, fourteen million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 21209369 42418738 84837476 106046845 169674952 212093690 424187380 530234225 615071701 848374760 1060468450 1230143402 2120936900 2460286804 3075358505 4241873800 4920573608 6150717010 12301434020 15376792525 24602868040 30753585050 61507170100 123014340200