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11213022301200 = 243252313231793
BaseRepresentation
bin1010001100101011110000…
…1101100000110000010000
31110200221202210200210202200
42203022330031200300100
52432203232202114300
635503105154443200
72235054100650126
oct243127415406020
943627683623680
1011213022301200
113633463847805
1213111aa593500
136344ca6228a5
142aa9dad49916
15146a22ed8200
hexa32bc360c10

11213022301200 has 270 divisors, whose sum is σ = 39038247607086. Its totient is φ = 2980492369920.

The previous prime is 11213022301183. The next prime is 11213022301321. The reversal of 11213022301200 is 210322031211.

11213022301200 is a `hidden beast` number, since 1 + 12 + 1 + 302 + 230 + 120 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 9032284901376 + 2180737399824 = 3005376^2 + 1476732^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 53 ways as a sum of consecutive naturals, for example, 352672504 + ... + 352704296.

Almost surely, 211213022301200 is an apocalyptic number.

11213022301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213022301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19519123803543).

11213022301200 is an abundant number, since it is smaller than the sum of its proper divisors (27825225305886).

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

11213022301200 is a wasteful number, since it uses less digits than its factorization.

11213022301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32443 (or 32116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11213022301200 its reverse (210322031211), we get a palindrome (11423344332411).

The spelling of 11213022301200 in words is "eleven trillion, two hundred thirteen billion, twenty-two million, three hundred one thousand, two hundred".