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2102012022 = 2311172193571
BaseRepresentation
bin111110101001010…
…0010100001110110
312102111022021102010
41331102202201312
513301103341042
6544325225050
7103042543635
oct17522424166
95374267363
102102012022
11989592820
124a7b62186
132766438c6
1415d25151c
15c481359c
hex7d4a2876

2102012022 has 96 divisors (see below), whose sum is σ = 4905673344. Its totient is φ = 595353600.

The previous prime is 2102011981. The next prime is 2102012027. The reversal of 2102012022 is 2202102012.

It is a junction number, because it is equal to n+sod(n) for n = 2102011989 and 2102012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102012027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3680997 + ... + 3681567.

It is an arithmetic number, because the mean of its divisors is an integer number (51100764).

Almost surely, 22102012022 is an apocalyptic number.

2102012022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452836672).

2102012022 is an abundant number, since it is smaller than the sum of its proper divisors (2803661322).

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

2102012022 is a wasteful number, since it uses less digits than its factorization.

2102012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2102012022 is about 45847.7046535593. The cubic root of 2102012022 is about 1280.9880111812.

Adding to 2102012022 its reverse (2202102012), we get a palindrome (4304114034).

The spelling of 2102012022 in words is "two billion, one hundred two million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 193 289 374 386 561 571 578 579 867 1122 1142 1158 1713 1734 2123 3179 3281 3426 4246 6281 6358 6369 6562 9537 9707 9843 12562 12738 18843 19074 19414 19686 29121 36091 37686 55777 58242 72182 106777 108273 110203 111554 165019 167331 213554 216546 220406 320331 330038 330609 334662 495057 613547 640662 661218 990114 1212233 1227094 1815209 1840641 1873451 2424466 3630418 3636699 3681282 3746902 5445627 5620353 7273398 10891254 11240706 20607961 31848667 41215922 61823883 63697334 95546001 123647766 191092002 350335337 700670674 1051006011 2102012022