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11001100131 = 35753122027
BaseRepresentation
bin10100011111011011…
…10111011101100011
31001101200111210100000
422033231313131203
5140012240201011
65015343431043
7536421544140
oct121755673543
931350453300
1011001100131
11473591a39a
1221702b5483
131064221308
147650b93c7
15445c0a356
hex28fb77763

11001100131 has 48 divisors (see below), whose sum is σ = 19188658944. Its totient is φ = 6167682144.

The previous prime is 11001100093. The next prime is 11001100139. The reversal of 11001100131 is 13100110011.

It is a de Polignac number, because none of the positive numbers 2k-11001100131 is a prime.

It is a super-2 number, since 2×110011001312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11001100139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29140 + ... + 151166.

It is an arithmetic number, because the mean of its divisors is an integer number (399763728).

Almost surely, 211001100131 is an apocalyptic number.

11001100131 is a deficient number, since it is larger than the sum of its proper divisors (8187558813).

11001100131 is an equidigital number, since it uses as much as digits as its factorization.

11001100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122102 (or 122090 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11001100131 its reverse (13100110011), we get a palindrome (24101210142).

The spelling of 11001100131 in words is "eleven billion, one million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 53 63 81 159 189 243 371 477 567 1113 1431 1701 3339 4293 10017 12879 30051 90153 122027 366081 854189 1098243 2562567 3294729 6467431 7687701 9884187 19402293 23063103 29652561 45272017 58206879 69189309 135816051 174620637 207567927 407448153 523861911 1222344459 1571585733 3667033377 11001100131