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101113300031 = 3131427226381
BaseRepresentation
bin101111000101011010…
…0101000010000111111
3100122222202111211210012
41132022310220100333
53124040001100111
6114241212533435
710206452604122
oct1361264502077
9318882454705
10101113300031
1139977904977
121771a78127b
1396c5369063
144c72c623b9
15296bd4b48b
hex178ad2843f

101113300031 has 8 divisors (see below), whose sum is σ = 101507877744. Its totient is φ = 100719178560.

The previous prime is 101113299997. The next prime is 101113300033. The reversal of 101113300031 is 130003311101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101113300031 is a prime.

It is a super-2 number, since 2×1011133000312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101113299979 and 101113300015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113300033) 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 7 ways as a sum of consecutive naturals, for example, 333461 + ... + 559841.

It is an arithmetic number, because the mean of its divisors is an integer number (12688484718).

Almost surely, 2101113300031 is an apocalyptic number.

101113300031 is a deficient number, since it is larger than the sum of its proper divisors (394577713).

101113300031 is a wasteful number, since it uses less digits than its factorization.

101113300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228121.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101113300031 its reverse (130003311101), we get a palindrome (231116611132).

The spelling of 101113300031 in words is "one hundred one billion, one hundred thirteen million, three hundred thousand, thirty-one".

Divisors: 1 313 1427 226381 446651 70857253 323045687 101113300031