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111033120010013 = 17411512114999889
BaseRepresentation
bin11001001111101111101001…
…101011010010111100011101
3112120010122220001010001002122
4121033233221223102330131
5104023131312210310023
61032051524451032325
732246610135642545
oct3117575153227435
9476118801101078
10111033120010013
1132418977688893
1210552b6729b6a5
1349c54bc144c56
141d5c062d18325
15cc835d9502c8
hex64fbe9ad2f1d

111033120010013 has 32 divisors (see below), whose sum is σ = 121804040252160. Its totient is φ = 100797742080000.

The previous prime is 111033120009997. The next prime is 111033120010097. The reversal of 111033120010013 is 310010021330111.

It is a cyclic number.

It is not a de Polignac number, because 111033120010013 - 24 = 111033120009997 is a prime.

It is a super-2 number, since 2×1110331200100132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111033120009973 and 111033120010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111033120010313) 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 31 ways as a sum of consecutive naturals, for example, 19707173 + ... + 24707061.

It is an arithmetic number, because the mean of its divisors is an integer number (3806376257880).

Almost surely, 2111033120010013 is an apocalyptic number.

It is an amenable number.

111033120010013 is a deficient number, since it is larger than the sum of its proper divisors (10770920242147).

111033120010013 is a wasteful number, since it uses less digits than its factorization.

111033120010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000309.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 111033120010013 its reverse (310010021330111), we get a palindrome (421043141340124).

The spelling of 111033120010013 in words is "one hundred eleven trillion, thirty-three billion, one hundred twenty million, ten thousand, thirteen".

Divisors: 1 17 41 151 211 697 2567 3587 6191 8651 31861 105247 147067 541637 1306301 4999889 22207117 84998113 204995449 754983239 1054976579 3484922633 12834715063 17934601843 30954312799 43254039739 159301463429 526223317583 735318675563 2708124878293 6531360000589 111033120010013