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2010022000112 = 247412441179321
BaseRepresentation
bin11101001111111110101…
…001011011010111110000
321010011012220000012120102
4131033332221123113300
5230413011113000422
64135220311131532
7265135135046210
oct35177651332760
97104186005512
102010022000112
1170549a021905
12285680373ba8
1311770c985459
146d3dd8dc240
1537442c84192
hex1d3fea5b5f0

2010022000112 has 80 divisors (see below), whose sum is σ = 4561211438784. Its totient is φ = 840078336000.

The previous prime is 2010022000109. The next prime is 2010022000139. The reversal of 2010022000112 is 2110002200102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2010022000093 and 2010022000102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11119412 + ... + 11298732.

Almost surely, 22010022000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010022000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280605719392).

2010022000112 is an abundant number, since it is smaller than the sum of its proper divisors (2551189438672).

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

2010022000112 is a wasteful number, since it uses less digits than its factorization.

2010022000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181818 (or 181812 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2010022000112 its reverse (2110002200102), we get a palindrome (4120024200214).

The spelling of 2010022000112 in words is "two trillion, ten billion, twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 2441 4592 4882 9764 17087 19528 34174 39056 68348 100081 136696 179321 200162 273392 358642 400324 700567 717284 800648 1255247 1401134 1434568 1601296 2510494 2802268 2869136 5020988 5604536 7352161 10041976 11209072 14704322 20083952 29408644 51465127 58817288 102930254 117634576 205860508 411721016 437722561 823442032 875445122 1750890244 3064057927 3501780488 6128115854 7003560976 12256231708 17946625001 24512463416 35893250002 49024926832 71786500004 125626375007 143573000008 251252750014 287146000016 502505500028 1005011000056 2010022000112