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1131342410142 = 233715119820989
BaseRepresentation
bin10000011101101001010…
…000110011000110011110
311000011012012100011122000
4100131221100303012132
5122013442124111032
62223422002103130
7144510501550410
oct20355120630636
94004165304560
101131342410142
113a688832969a
1216331834aaa6
13828ba306ba9
143ca85d129b0
151e667395e7c
hex1076943319e

1131342410142 has 64 divisors (see below), whose sum is σ = 2892278860800. Its totient is φ = 321100005600.

The previous prime is 1131342410141. The next prime is 1131342410173. The reversal of 1131342410142 is 2410142431311.

It is a happy number.

1131342410142 is a `hidden beast` number, since 1 + 131 + 3 + 424 + 101 + 4 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131342410141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9853417 + ... + 9967572.

It is an arithmetic number, because the mean of its divisors is an integer number (45191857200).

Almost surely, 21131342410142 is an apocalyptic number.

1131342410142 is an abundant number, since it is smaller than the sum of its proper divisors (1760936450658).

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

1131342410142 is a wasteful number, since it uses less digits than its factorization.

1131342410142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19821158 (or 19821152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1131342410142 its reverse (2410142431311), we get a palindrome (3541484841453).

The spelling of 1131342410142 in words is "one trillion, one hundred thirty-one billion, three hundred forty-two million, four hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 151 189 302 378 453 906 1057 1359 2114 2718 3171 4077 6342 8154 9513 19026 28539 57078 19820989 39641978 59462967 118925934 138746923 178388901 277493846 356777802 416240769 535166703 832481538 1070333406 1248722307 2497444614 2992969339 3746166921 5985938678 7492333842 8978908017 17957816034 20950785373 26936724051 41901570746 53873448102 62852356119 80810172153 125704712238 161620344306 188557068357 377114136714 565671205071 1131342410142