Search a number
-
+
2112002022020 = 22511175393104711
BaseRepresentation
bin11110101110111101001…
…000010101101010000100
321110220110001102002020212
4132232331020111222010
5234100340004201040
64254123525014552
7305405243661302
oct36567510255204
97426401362225
102112002022020
11744771099750
122a13a1254458
13124212765a97
14743158d7272
1539e10c36d65
hex1ebbd215a84

2112002022020 has 96 divisors (see below), whose sum is σ = 5124015542016. Its totient is φ = 722683289600.

The previous prime is 2112002022017. The next prime is 2112002022023. The reversal of 2112002022020 is 202202002112.

It is an interprime number because it is at equal distance from previous prime (2112002022017) and next prime (2112002022023).

It is a junction number, because it is equal to n+sod(n) for n = 2112002021986 and 2112002022004.

It is not an unprimeable number, because it can be changed into a prime (2112002022023) 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, 20117465 + ... + 20222175.

It is an arithmetic number, because the mean of its divisors is an integer number (53375161896).

Almost surely, 22112002022020 is an apocalyptic number.

2112002022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112002022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562007771008).

2112002022020 is an abundant number, since it is smaller than the sum of its proper divisors (3012013519996).

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

2112002022020 is a wasteful number, since it uses less digits than its factorization.

2112002022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110141 (or 110139 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2112002022020 its reverse (202202002112), we get a palindrome (2314204024132).

The spelling of 2112002022020 in words is "two trillion, one hundred twelve billion, two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 5393 10786 21572 26965 53930 59323 91681 104711 107860 118646 183362 209422 237292 296615 366724 418844 458405 523555 593230 916810 1008491 1047110 1151821 1186460 1780087 1833620 2016982 2094220 2303642 3560174 4033964 4607284 5042455 5759105 7120348 8900435 10084910 11518210 17800870 19580957 20169820 23036420 35601740 39161914 78323828 97904785 195809570 391619140 564706423 1129412846 2258825692 2823532115 5647064230 6211770653 9600009191 11294128460 12423541306 19200018382 24847082612 31058853265 38400036764 48000045955 62117706530 96000091910 105600101101 124235413060 192000183820 211200202202 422400404404 528000505505 1056001011010 2112002022020