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11013312132 = 2232305925337
BaseRepresentation
bin10100100000111000…
…11100111010000100
31001102112111020001100
422100130130322010
5140023401442012
65020501300100
7536630415504
oct122034347204
931375436040
1011013312132
114741800459
122174404630
131066908954
14766977a04
15446d1d8dc
hex29071ce84

11013312132 has 18 divisors (see below), whose sum is σ = 27839205758. Its totient is φ = 3671104032.

The previous prime is 11013312119. The next prime is 11013312137. The reversal of 11013312132 is 23121331011.

It can be written as a sum of positive squares in only one way, i.e., 7932396096 + 3080916036 = 89064^2 + 55506^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 (11013312137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152962633 + ... + 152962704.

Almost surely, 211013312132 is an apocalyptic number.

11013312132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11013312132 is an abundant number, since it is smaller than the sum of its proper divisors (16825893626).

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

11013312132 is a wasteful number, since it uses less digits than its factorization.

11013312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305925347 (or 305925342 counting only the distinct ones).

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

Adding to 11013312132 its reverse (23121331011), we get a palindrome (34134643143).

It can be divided in two parts, 110133 and 12132, that added together give a triangular number (122265 = T494).

The spelling of 11013312132 in words is "eleven billion, thirteen million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 305925337 611850674 917776011 1223701348 1835552022 2753328033 3671104044 5506656066 11013312132