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11021320131300 = 22335217733289259
BaseRepresentation
bin1010000001100001100111…
…0111110001001011100100
31110000121221202020120021000
42200120121313301023210
52421033130423200200
635235042523553300
72215156405254453
oct240303167611344
943017852216230
1011021320131300
11356a12a986136
1212a000998b830
1361c3c9464a6b
142a1612cdcb9a
15141a53290300
hexa0619df12e4

11021320131300 has 288 divisors, whose sum is σ = 38029634697600. Its totient is φ = 2728242155520.

The previous prime is 11021320131299. The next prime is 11021320131307. The reversal of 11021320131300 is 313102312011.

11021320131300 is a `hidden beast` number, since 1 + 1 + 0 + 213 + 20 + 131 + 300 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11021320131307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1706071 + ... + 4995329.

It is an arithmetic number, because the mean of its divisors is an integer number (132047342700).

Almost surely, 211021320131300 is an apocalyptic number.

11021320131300 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 11021320131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19014817348800).

11021320131300 is an abundant number, since it is smaller than the sum of its proper divisors (27008314566300).

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

11021320131300 is a wasteful number, since it uses less digits than its factorization.

11021320131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289372 (or 3289359 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11021320131300 its reverse (313102312011), we get a palindrome (11334422443311).

The spelling of 11021320131300 in words is "eleven trillion, twenty-one billion, three hundred twenty million, one hundred thirty-one thousand, three hundred".