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111320002003122 = 2321115711293171863
BaseRepresentation
bin11001010011111010110101…
…001011010000000010110010
3112121011002101100012021100200
4121103322311023100002302
5104042331331003044442
61032431411455500030
732306414265440163
oct3123726513200262
9477132340167320
10111320002003122
113251960302a380
121059a68b527616
134a1657b2c51b3
141d6bcb9b7376a
15cd0a4e64c34c
hex653eb52d00b2

111320002003122 has 96 divisors (see below), whose sum is σ = 265030552126080. Its totient is φ = 33488772744960.

The previous prime is 111320002003117. The next prime is 111320002003163. The reversal of 111320002003122 is 221300200023111.

111320002003122 is a `hidden beast` number, since 1 + 11 + 320 + 0 + 0 + 20 + 0 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111320002003095 and 111320002003104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33510163 + ... + 36682025.

It is an arithmetic number, because the mean of its divisors is an integer number (2760734917980).

Almost surely, 2111320002003122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111320002003122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132515276063040).

111320002003122 is an abundant number, since it is smaller than the sum of its proper divisors (153710550122958).

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

111320002003122 is a wasteful number, since it uses less digits than its factorization.

111320002003122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173168 (or 3173165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 111320002003122 its reverse (221300200023111), we get a palindrome (332620202026233).

The spelling of 111320002003122 in words is "one hundred eleven trillion, three hundred twenty billion, two million, three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 157 198 314 471 942 1129 1413 1727 2258 2826 3387 3454 5181 6774 10161 10362 12419 15543 20322 24838 31086 37257 74514 111771 177253 223542 354506 531759 1063518 1595277 1949783 3171863 3190554 3899566 5849349 6343726 9515589 11698698 17548047 19031178 28546767 34890493 35096094 57093534 69780986 104671479 209342958 314014437 497982491 628028874 995964982 1493947473 2987894946 3581033327 4481842419 5477807401 7162066654 8963684838 10743099981 10955614802 16433422203 21486199962 32229299943 32866844406 39391366597 49300266609 64458599886 78782733194 98600533218 118174099791 236348199582 354522299373 562222232339 709044598746 1124444464678 1686666697017 3373333394034 5060000091051 6184444555729 10120000182102 12368889111458 18553333667187 37106667334374 55660001001561 111320002003122