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123200434200 = 23352205334057
BaseRepresentation
bin111001010111101010…
…0010111000000011000
3102210000001100111212110
41302233110113000120
54004303302343300
6132333020512320
711621010261234
oct1625724270030
9383001314773
10123200434200
1148281484768
121ba636ab6a0
13b80527870c
145d6a4055c4
153310e3c550
hex1caf517018

123200434200 has 48 divisors (see below), whose sum is σ = 381921347880. Its totient is φ = 32853448960.

The previous prime is 123200434187. The next prime is 123200434261. The reversal of 123200434200 is 2434002321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102666429 + ... + 102667628.

Almost surely, 2123200434200 is an apocalyptic number.

123200434200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123200434200 is an abundant number, since it is smaller than the sum of its proper divisors (258720913680).

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

123200434200 is a wasteful number, since it uses less digits than its factorization.

123200434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205334076 (or 205334067 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 123200434200 its reverse (2434002321), we get a palindrome (125634436521).

The spelling of 123200434200 in words is "one hundred twenty-three billion, two hundred million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 205334057 410668114 616002171 821336228 1026670285 1232004342 1642672456 2053340570 2464008684 3080010855 4106681140 4928017368 5133351425 6160021710 8213362280 10266702850 12320043420 15400054275 20533405700 24640086840 30800108550 41066811400 61600217100 123200434200