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2012220212202 = 23519635334301
BaseRepresentation
bin11101010010000001101…
…010111100001111101010
321010100220002022221200000
4131102001222330033222
5230432011333242302
64140222354323430
7265243456410624
oct35220152741752
97110802287600
102012220212202
11706417940112
12285b94589576
131179a020c075
146d56b831c14
1537520c4b31c
hex1d481abc3ea

2012220212202 has 96 divisors (see below), whose sum is σ = 4760135190720. Its totient is φ = 635319417600.

The previous prime is 2012220212137. The next prime is 2012220212203. The reversal of 2012220212202 is 2022120222102.

2012220212202 is a `hidden beast` number, since 20 + 12 + 220 + 212 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2012220212203) 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, 58646452 + ... + 58680752.

It is an arithmetic number, because the mean of its divisors is an integer number (49584741570).

Almost surely, 22012220212202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012220212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380067595360).

2012220212202 is an abundant number, since it is smaller than the sum of its proper divisors (2747914978518).

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

2012220212202 is a wasteful number, since it uses less digits than its factorization.

2012220212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40690 (or 40678 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2012220212202 its reverse (2022120222102), we get a palindrome (4034340434304).

The spelling of 2012220212202 in words is "two trillion, twelve billion, two hundred twenty million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 6353 9234 12706 19059 34301 38118 57177 68602 102903 114354 120707 171531 205806 241414 308709 343062 362121 514593 617418 651719 724242 926127 1029186 1086363 1303438 1543779 1852254 1955157 2172726 2778381 3087558 3259089 3910314 5556762 5865471 6518178 8335143 9777267 11730942 16670286 17596413 19554534 29331801 35192826 52789239 58663602 105578478 158367717 217914253 316735434 435828506 653742759 1307485518 1961228277 3922456554 4140370807 5883684831 8280741614 11767369662 12421112421 17651054493 24842224842 35302108986 37263337263 52953163479 74526674526 105906326958 111790011789 223580023578 335370035367 670740070734 1006110106101 2012220212202