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1131082638 = 2372310111593
BaseRepresentation
bin100001101101010…
…1111001110001110
32220211022221200120
41003122233032032
54304024121023
6304123005410
740013021010
oct10332571616
92824287616
101131082638
11530515144
12276969866
1315044468a
14aa3101b0
15694758e3
hex436af38e

1131082638 has 64 divisors (see below), whose sum is σ = 2724682752. Its totient is φ = 306028800.

The previous prime is 1131082619. The next prime is 1131082639. The reversal of 1131082638 is 8362801311.

It is a junction number, because it is equal to n+sod(n) for n = 1131082599 and 1131082608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131082639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91770 + ... + 103362.

It is an arithmetic number, because the mean of its divisors is an integer number (42573168).

Almost surely, 21131082638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131082638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362341376).

1131082638 is an abundant number, since it is smaller than the sum of its proper divisors (1593600114).

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

1131082638 is a wasteful number, since it uses less digits than its factorization.

1131082638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1131082638 is about 33631.5720417586. The cubic root of 1131082638 is about 1041.9129725935.

Adding to 1131082638 its reverse (8362801311), we get a palindrome (9493883949).

The spelling of 1131082638 in words is "one billion, one hundred thirty-one million, eighty-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 101 138 161 202 303 322 483 606 707 966 1414 2121 2323 4242 4646 6969 11593 13938 16261 23186 32522 34779 48783 69558 81151 97566 162302 243453 266639 486906 533278 799917 1170893 1599834 1866473 2341786 3512679 3732946 5599419 7025358 8196251 11198838 16392502 24588753 26930539 49177506 53861078 80791617 161583234 188513773 377027546 565541319 1131082638