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11333310103031 = 73137241180441
BaseRepresentation
bin1010010011101011110111…
…1011000011110111110111
31111010110020212102021011012
42210322331323003313313
52441141104341244111
640034241211502435
72246542663256000
oct244727573036767
944113225367135
1011333310103031
11367a480104684
12133057a757a1b
1364295a3267a7
142b276c5ac1a7
15149c1338d48b
hexa4ebdec3df7

11333310103031 has 16 divisors (see below), whose sum is σ = 13313160398400. Its totient is φ = 9643358712960.

The previous prime is 11333310103021. The next prime is 11333310103051. The reversal of 11333310103031 is 13030101333311.

It is a de Polignac number, because none of the positive numbers 2k-11333310103031 is a prime.

It is a super-2 number, since 2×113333101030312 (a number of 27 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 = 11333310102988 and 11333310103006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333310103021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120543230 + ... + 120637211.

It is an arithmetic number, because the mean of its divisors is an integer number (832072524900).

Almost surely, 211333310103031 is an apocalyptic number.

11333310103031 is a deficient number, since it is larger than the sum of its proper divisors (1979850295369).

11333310103031 is an equidigital number, since it uses as much as digits as its factorization.

11333310103031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241180599 (or 241180585 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 11333310103031 its reverse (13030101333311), we get a palindrome (24363411436342).

The spelling of 11333310103031 in words is "eleven trillion, three hundred thirty-three billion, three hundred ten million, one hundred three thousand, thirty-one".

Divisors: 1 7 49 137 343 959 6713 46991 241180441 1688263087 11817841609 33041720417 82724891263 231292042919 1619044300433 11333310103031