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11011200993 = 341310456981
BaseRepresentation
bin10100100000101000…
…11001011111100001
31001102101111222010000
422100110121133201
5140022331412433
65020344130213
7536603443542
oct122024313741
931371458100
1011011200993
114740599311
122173766969
131066349a60
147665884c9
15446a53113
hex2905197e1

11011200993 has 20 divisors (see below), whose sum is σ = 17714127508. Its totient is φ = 6776123040.

The previous prime is 11011200979. The next prime is 11011201013. The reversal of 11011200993 is 39900211011.

It can be written as a sum of positive squares in 2 ways, for example, as 6341255424 + 4669945569 = 79632^2 + 68337^2 .

It is not a de Polignac number, because 11011200993 - 212 = 11011196897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011200913) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5227438 + ... + 5229543.

Almost surely, 211011200993 is an apocalyptic number.

11011200993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11011200993 is a deficient number, since it is larger than the sum of its proper divisors (6702926515).

11011200993 is a wasteful number, since it uses less digits than its factorization.

11011200993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10457006 (or 10456997 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 11011200993 in words is "eleven billion, eleven million, two hundred thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 10456981 31370943 94112829 135940753 282338487 407822259 847015461 1223466777 3670400331 11011200993