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2212101012220 = 22511611011632041
BaseRepresentation
bin100000001100001011011…
…111101011101011111100
321211110211010022122112021
4200030023133223223330
5242220340324342340
64412120345445524
7315550632235051
oct40141337535374
97743733278467
102212101012220
11783168396630
122b88781a08a4
131307a59244b8
14790cdb65028
153c81d9c6e4a
hex2030b7ebafc

2212101012220 has 96 divisors (see below), whose sum is σ = 5201800938432. Its totient is φ = 783379200000.

The previous prime is 2212101012161. The next prime is 2212101012259. The reversal of 2212101012220 is 222101012122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2212101012194 and 2212101012203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539400 + ... + 2171440.

It is an arithmetic number, because the mean of its divisors is an integer number (54185426442).

Almost surely, 22212101012220 is an apocalyptic number.

2212101012220 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 2212101012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600900469216).

2212101012220 is an abundant number, since it is smaller than the sum of its proper divisors (2989699926212).

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

2212101012220 is a wasteful number, since it uses less digits than its factorization.

2212101012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632223 (or 1632221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2212101012220 its reverse (222101012122), we get a palindrome (2434202024342).

The spelling of 2212101012220 in words is "two trillion, two hundred twelve billion, one hundred one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 101 110 122 202 220 244 305 404 505 610 671 1010 1111 1220 1342 2020 2222 2684 3355 4444 5555 6161 6710 11110 12322 13420 22220 24644 30805 61610 67771 123220 135542 271084 338855 677710 1355420 1632041 3264082 6528164 8160205 16320410 17952451 32640820 35904902 71809804 89762255 99554501 164836141 179524510 199109002 329672282 359049020 398218004 497772505 659344564 824180705 995545010 1095099511 1648361410 1813197551 1991090020 2190199022 3296722820 3626395102 4380398044 5475497555 7252790204 9065987755 10055004601 10950995110 18131975510 20110009202 21901990220 36263951020 40220018404 50275023005 100550046010 110605050611 201100092020 221210101222 442420202444 553025253055 1106050506110 2212101012220