Search a number
-
+
1133616133141 = 431103160114929
BaseRepresentation
bin10000011111110000110…
…010010111010000010101
311000101001122202021012221
4100133300302113100111
5122033121212230031
62224435343542341
7144621031100422
oct20376062272025
94011048667187
101133616133141
113a7844832408
121638518ba9b1
1382b903ab80b
143cc1dca0d49
151e74bcc6a11
hex107f0c97415

1133616133141 has 16 divisors (see below), whose sum is σ = 1161833967360. Its totient is φ = 1105484083200.

The previous prime is 1133616133127. The next prime is 1133616133151. The reversal of 1133616133141 is 1413316163311.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1133616133141 - 25 = 1133616133109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1133616133097 and 1133616133106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133616133121) 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 15 ways as a sum of consecutive naturals, for example, 75926365 + ... + 75941293.

It is an arithmetic number, because the mean of its divisors is an integer number (72614622960).

Almost surely, 21133616133141 is an apocalyptic number.

It is an amenable number.

1133616133141 is a deficient number, since it is larger than the sum of its proper divisors (28217834219).

1133616133141 is a wasteful number, since it uses less digits than its factorization.

1133616133141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17676.

The product of its digits is 11664, while the sum is 34.

The spelling of 1133616133141 in words is "one trillion, one hundred thirty-three billion, six hundred sixteen million, one hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 43 1103 1601 14929 47429 68843 641947 1765903 16466687 23901329 75933829 708067541 1027757147 26363165887 1133616133141