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11013101002332 = 223311134871464269
BaseRepresentation
bin1010000001000010111111…
…1110010001111001011100
31102222211201221111112221000
42200100233332101321130
52420414312324033312
635231203155310300
72214445623646362
oct240205776217134
942884657445830
1011013101002332
1135666a244a970
12129a4b52ab390
1361b6b96ca840
142a10734b3632
1514172190cadc
hexa042ff91e5c

11013101002332 has 192 divisors, whose sum is σ = 33613079270400. Its totient is φ = 3074259951360.

The previous prime is 11013101002301. The next prime is 11013101002333. The reversal of 11013101002332 is 23320010131011.

11013101002332 is a `hidden beast` number, since 1 + 10 + 1 + 310 + 10 + 0 + 2 + 332 = 666.

11013101002332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110131010023322 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013101002333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6789094 + ... + 8253362.

It is an arithmetic number, because the mean of its divisors is an integer number (175068121200).

Almost surely, 211013101002332 is an apocalyptic number.

11013101002332 is a gapful number since it is divisible by the number (12) 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 11013101002332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16806539635200).

11013101002332 is an abundant number, since it is smaller than the sum of its proper divisors (22599978268068).

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

11013101002332 is a wasteful number, since it uses less digits than its factorization.

11013101002332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464793 (or 1464785 counting only the distinct ones).

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

Adding to 11013101002332 its reverse (23320010131011), we get a palindrome (34333111133343).

The spelling of 11013101002332 in words is "eleven trillion, thirteen billion, one hundred one million, two thousand, three hundred thirty-two".