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1132410142311 = 37241831726903
BaseRepresentation
bin10000011110101000111…
…001110111111001100111
311000020221121110120210220
4100132220321313321213
5122023133444023221
62224115543215423
7144546115251240
oct20365071677147
94006847416726
101132410142311
113a7286004678
12163575a47573
1382a2a59a586
143cb47a51cc7
151e6caea60c6
hex107a8e77e67

1132410142311 has 32 divisors (see below), whose sum is σ = 1733010183168. Its totient is φ = 644305052160.

The previous prime is 1132410142289. The next prime is 1132410142379.

1132410142311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1132410142311 - 27 = 1132410142183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132410146311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42078886 + ... + 42105788.

It is an arithmetic number, because the mean of its divisors is an integer number (54156568224).

Almost surely, 21132410142311 is an apocalyptic number.

1132410142311 is a deficient number, since it is larger than the sum of its proper divisors (600600040857).

1132410142311 is a wasteful number, since it uses less digits than its factorization.

1132410142311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35471.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1132410 and 142311, that added together give a palindrome (1274721).

The spelling of 1132410142311 in words is "one trillion, one hundred thirty-two billion, four hundred ten million, one hundred forty-two thousand, three hundred eleven".

Divisors: 1 3 7 21 241 723 1687 5061 8317 24951 26903 58219 80709 174657 188321 564963 2004397 6013191 6483623 14030779 19450869 42092337 45385361 136156083 223752251 671256753 1566265757 4698797271 53924292491 161772877473 377470047437 1132410142311