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1220212011102 = 237435323095521
BaseRepresentation
bin10001110000011010010…
…011011011000001011110
311022122120200011122210020
4101300122103123001132
5124442443233323402
62332320242053010
7154104663651060
oct21603223330136
94278520148706
101220212011102
114305419621a7
1217859a64a166
138b0b0b939a6
14430b6a3b730
1521b193848bc
hex11c1a4db05e

1220212011102 has 128 divisors (see below), whose sum is σ = 2909551518720. Its totient is φ = 333894113280.

The previous prime is 1220212011079. The next prime is 1220212011113. The reversal of 1220212011102 is 2011102120221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221010102 + ... + 221015622.

It is an arithmetic number, because the mean of its divisors is an integer number (22730871240).

Almost surely, 21220212011102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220212011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454775759360).

1220212011102 is an abundant number, since it is smaller than the sum of its proper divisors (1689339507618).

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

1220212011102 is a wasteful number, since it uses less digits than its factorization.

1220212011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1220212011102 its reverse (2011102120221), we get a palindrome (3231314131323).

The spelling of 1220212011102 in words is "one trillion, two hundred twenty billion, two hundred twelve million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 43 53 86 106 129 159 258 301 318 371 602 742 903 1113 1806 2226 2279 2309 4558 4618 5521 6837 6927 11042 13674 13854 15953 16163 16563 31906 32326 33126 38647 47859 48489 77294 95718 96978 99287 115941 122377 198574 231882 237403 244754 292613 297861 367131 474806 585226 595722 695009 712209 734262 856639 877839 1390018 1424418 1661821 1713278 1755678 2048291 2085027 2569917 3323642 4096582 4170054 4985463 5139834 5262211 6144873 9970926 10524422 12289746 12582359 12747989 15786633 25164718 25495978 31573266 36835477 37747077 38243967 73670954 75494154 76487934 88076513 89235923 110506431 176153026 178471846 221012862 264229539 267707769 528459078 535415538 548163527 675643417 1096327054 1351286834 1644490581 2026930251 3288981162 3837144689 4053860502 4729503919 7674289378 9459007838 11511434067 14188511757 23022868134 28377023514 29052666931 58105333862 87158000793 174316001586 203368668517 406737337034 610106005551 1220212011102