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2002022110218 = 231343697185627
BaseRepresentation
bin11101001000100001110…
…100010001010000001010
321002101120100210200201010
4131020201310101100022
5230300120130011333
64131414413504350
7264432655105104
oct35104164212012
97071510720633
102002022110218
1170206431a159
122840091a20b6
13116a364804b0
146cc81262574
15371257ab563
hex1d221d1140a

2002022110218 has 64 divisors (see below), whose sum is σ = 4413012291072. Its totient is φ = 601587725760.

The previous prime is 2002022110213. The next prime is 2002022110219. The reversal of 2002022110218 is 8120112202002.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2002022110194 and 2002022110203.

It is not an unprimeable number, because it can be changed into a prime (2002022110213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23337921 + ... + 23423547.

It is an arithmetic number, because the mean of its divisors is an integer number (68953317048).

Almost surely, 22002022110218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002022110218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206506145536).

2002022110218 is an abundant number, since it is smaller than the sum of its proper divisors (2410990180854).

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

2002022110218 is a wasteful number, since it uses less digits than its factorization.

2002022110218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92659.

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 2002022110218 in words is "two trillion, two billion, twenty-two million, one hundred ten thousand, two hundred eighteen".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1118 1677 3354 6971 13942 20913 41826 85627 90623 171254 181246 256881 271869 299753 513762 543738 599506 899259 1113151 1798518 2226302 3339453 3681961 3896789 6678906 7363922 7793578 11045883 11690367 22091766 23380734 47865493 95730986 143596479 287192958 596905817 1193811634 1790717451 3581434902 7759775621 15519551242 23279326863 25666950131 46558653726 51333900262 77000850393 154001700786 333670351703 667340703406 1001011055109 2002022110218