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10323211300 = 2252208949417
BaseRepresentation
bin10011001110100111…
…11011010000100100
3222122102221110200021
421213103323100210
5132120220230200
64424210124524
7513550563643
oct114723732044
928572843607
1010323211300
114418202496
122001280744
13c8695426c
146dd05935a
1540645441a
hex2674fb424

10323211300 has 36 divisors (see below), whose sum is σ = 22412545540. Its totient is φ = 4127224320.

The previous prime is 10323211277. The next prime is 10323211303. The reversal of 10323211300 is 311232301.

10323211300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1276918756 + 9046292544 = 35734^2 + 95112^2 .

It is a super-3 number, since 3×103232113003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10323211303) by changing a digit.

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, 184192 + ... + 233608.

Almost surely, 210323211300 is an apocalyptic number.

10323211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10323211300 is an abundant number, since it is smaller than the sum of its proper divisors (12089334240).

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

10323211300 is a wasteful number, since it uses less digits than its factorization.

10323211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51520 (or 51513 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10323211300 its reverse (311232301), we get a palindrome (10634443601).

The spelling of 10323211300 in words is "ten billion, three hundred twenty-three million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2089 4178 8356 10445 20890 41780 49417 52225 98834 104450 197668 208900 247085 494170 988340 1235425 2470850 4941700 103232113 206464226 412928452 516160565 1032321130 2064642260 2580802825 5161605650 10323211300