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1131313101 = 33143793581
BaseRepresentation
bin100001101101110…
…0111011111001101
32220211202122211020
41003123213133031
54304104004401
6304131544353
740015000632
oct10333473715
92824678736
101131313101
11530662306
12276a5b0b9
131504c5549
14aa370189
15694bdd36
hex436e77cd

1131313101 has 32 divisors (see below), whose sum is σ = 1613905920. Its totient is φ = 703684800.

The previous prime is 1131313091. The next prime is 1131313111. The reversal of 1131313101 is 1013131311.

It is an interprime number because it is at equal distance from previous prime (1131313091) and next prime (1131313111).

It is not a de Polignac number, because 1131313101 - 223 = 1122924493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131313111) 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, 314131 + ... + 317711.

It is an arithmetic number, because the mean of its divisors is an integer number (50434560).

Almost surely, 21131313101 is an apocalyptic number.

It is an amenable number.

1131313101 is a deficient number, since it is larger than the sum of its proper divisors (482592819).

1131313101 is a wasteful number, since it uses less digits than its factorization.

1131313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737.

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 1131313101 is about 33634.9981566820. The cubic root of 1131313101 is about 1041.9837325523.

Adding to 1131313101 its reverse (1013131311), we get a palindrome (2144444412).

It can be divided in two parts, 113131310 and 1, that added together give a palindrome (113131311).

The spelling of 1131313101 in words is "one billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred one".

Divisors: 1 3 31 43 79 93 129 237 1333 2449 3397 3581 3999 7347 10191 10743 105307 111011 153983 282899 315921 333033 461949 848697 4773473 8769869 12164657 14320419 26309607 36493971 377104367 1131313101