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11131000313100 = 22352173767338761
BaseRepresentation
bin1010000111111010001101…
…0100011101010100001100
31110102010001112212002112120
42201332203110131110030
52424332242040004400
635401302210532540
72226121364364363
oct241764324352414
943363045762476
1011131000313100
1136016a3546088
1212b9319597150
13629858615415
142a6a598307da
15144822261ca0
hexa1fa351d50c

11131000313100 has 288 divisors, whose sum is σ = 35030971999296. Its totient is φ = 2717444505600.

The previous prime is 11131000313093. The next prime is 11131000313107. The reversal of 11131000313100 is 131300013111.

It is an interprime number because it is at equal distance from previous prime (11131000313093) and next prime (11131000313107).

It is a super-2 number, since 2×111310003131002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131000313100.

It is not an unprimeable number, because it can be changed into a prime (11131000313107) 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, 1270512720 + ... + 1270521480.

It is an arithmetic number, because the mean of its divisors is an integer number (121635319442).

Almost surely, 211131000313100 is an apocalyptic number.

11131000313100 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 11131000313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17515485999648).

11131000313100 is an abundant number, since it is smaller than the sum of its proper divisors (23899971686196).

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

11131000313100 is a wasteful number, since it uses less digits than its factorization.

11131000313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15565 (or 15558 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 11131000313100 its reverse (131300013111), we get a palindrome (11262300326211).

The spelling of 11131000313100 in words is "eleven trillion, one hundred thirty-one billion, three hundred thirteen thousand, one hundred".