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11013132141 = 3311213125733
BaseRepresentation
bin10100100000110111…
…10000111101101101
31001102112011002011000
422100123300331231
5140023330212031
65020453350513
7536626035654
oct122033607555
931375132130
1011013132141
114741698200
122174338439
131066874a4b
1476692c19b
15446cd53e6
hex2906f0f6d

11013132141 has 48 divisors (see below), whose sum is σ = 18071444160. Its totient is φ = 6623416800.

The previous prime is 11013132061. The next prime is 11013132157. The reversal of 11013132141 is 14123131011.

It is a happy number.

It is not a de Polignac number, because 11013132141 - 29 = 11013131629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013132541) 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, 415111 + ... + 440843.

It is an arithmetic number, because the mean of its divisors is an integer number (376488420).

Almost surely, 211013132141 is an apocalyptic number.

11013132141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11013132141 is a deficient number, since it is larger than the sum of its proper divisors (7058312019).

11013132141 is a wasteful number, since it uses less digits than its factorization.

11013132141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25895 (or 25878 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11013132141 its reverse (14123131011), we get a palindrome (25136263152).

The spelling of 11013132141 in words is "eleven billion, thirteen million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 121 131 297 363 393 1089 1179 1441 3267 3537 4323 12969 15851 25733 38907 47553 77199 142659 231597 283063 427977 694791 849189 2547567 3113693 3371023 7642701 9341079 10113069 28023237 30339207 37081253 84069711 91017621 111243759 333731277 407893783 1001193831 1223681349 3671044047 11013132141