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123332120200 = 23521736274153
BaseRepresentation
bin111001011011100101…
…0101100111010001000
3102210100020010212002201
41302313022230322020
54010041010321300
6132354043205544
711624166503362
oct1626712547210
9383306125081
10123332120200
1148339848373
121ba9b8168b4
13b826634723
145d7dac3d32
15331c7a066a
hex1cb72ace88

123332120200 has 48 divisors (see below), whose sum is σ = 303614668980. Its totient is φ = 46430914560.

The previous prime is 123332120179. The next prime is 123332120207. The reversal of 123332120200 is 2021233321.

It can be written as a sum of positive squares in 6 ways, for example, as 98235857476 + 25096262724 = 313426^2 + 158418^2 .

It is not an unprimeable number, because it can be changed into a prime (123332120207) by changing a digit.

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, 18133677 + ... + 18140476.

Almost surely, 2123332120200 is an apocalyptic number.

123332120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123332120200 is an abundant number, since it is smaller than the sum of its proper divisors (180282548780).

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

123332120200 is a wasteful number, since it uses less digits than its factorization.

123332120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36274186 (or 36274177 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 123332120200 its reverse (2021233321), we get a palindrome (125353353521).

It can be divided in two parts, 1233321 and 20200, that added together give a palindrome (1253521).

The spelling of 123332120200 in words is "one hundred twenty-three billion, three hundred thirty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 36274153 72548306 145096612 181370765 290193224 362741530 616660601 725483060 906853825 1233321202 1450966120 1813707650 2466642404 3083303005 3627415300 4933284808 6166606010 7254830600 12333212020 15416515025 24666424040 30833030050 61666060100 123332120200