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2212202013102 = 2322940912298431
BaseRepresentation
bin100000001100010001100…
…000111110000110101110
321211111002011101000200200
4200030101200332012232
5242221042203404402
64412134354334330
7315553266566214
oct40142140760656
97744064330620
102212202013102
1178320a401034
122b88a5b8a3a6
131307c0828733
14790dd336cb4
153c8277c821c
hex2031183e1ae

2212202013102 has 96 divisors (see below), whose sum is σ = 4975141392000. Its totient is φ = 709570229760.

The previous prime is 2212202013059. The next prime is 2212202013107. The reversal of 2212202013102 is 2013102022122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212202013107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262384827 + ... + 262393257.

It is an arithmetic number, because the mean of its divisors is an integer number (51824389500).

Almost surely, 22212202013102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212202013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487570696000).

2212202013102 is an abundant number, since it is smaller than the sum of its proper divisors (2762939378898).

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

2212202013102 is a wasteful number, since it uses less digits than its factorization.

2212202013102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2212202013102 its reverse (2013102022122), we get a palindrome (4225304035224).

It can be divided in two parts, 221220 and 2013102, that added together give a palindrome (2234322).

The spelling of 2212202013102 in words is "two trillion, two hundred twelve billion, two hundred two million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 409 522 818 1227 1229 2454 2458 3681 3687 7362 7374 8431 11061 11861 16862 22122 23722 25293 35583 35641 50586 71166 71282 75879 106749 106923 151758 213498 213846 244499 320769 488998 502661 641538 733497 1005322 1466994 1507983 2200491 3015966 3448279 4400982 4523949 6896558 9047898 10344837 10361699 14577169 20689674 20723398 29154338 31034511 31085097 43731507 62069022 62170194 87463014 93255291 100000091 131194521 186510582 200000182 262389042 300000273 300489271 600000546 600978542 900000819 901467813 1800001638 1802935626 2704403439 4237934891 5408806878 8475869782 12713804673 25427609346 38141414019 76282828038 122900111839 245800223678 368700335517 737400671034 1106101006551 2212202013102