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100110200221206 = 23372352709218461
BaseRepresentation
bin10110110000110010111000…
…111011000010111000010110
3111010110102220222110210112000
4112300302320323002320112
5101110201142224034311
6552525554023540130
730041503041441060
oct2660627073027026
9433412828423460
10100110200221206
112999755218045a
12b28a03b5ba646
1343b2474c76a26
141aa1506834730
15b89169267056
hex5b0cb8ec2e16

100110200221206 has 128 divisors (see below), whose sum is σ = 265308641740800. Its totient is φ = 27358665079680.

The previous prime is 100110200221103. The next prime is 100110200221219. The reversal of 100110200221206 is 602122002011001.

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

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 63 ways as a sum of consecutive naturals, for example, 458142816 + ... + 458361276.

It is an arithmetic number, because the mean of its divisors is an integer number (2072723763600).

Almost surely, 2100110200221206 is an apocalyptic number.

100110200221206 is an abundant number, since it is smaller than the sum of its proper divisors (165198441519594).

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

100110200221206 is a wasteful number, since it uses less digits than its factorization.

100110200221206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271211 (or 271205 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100110200221206 its reverse (602122002011001), we get a palindrome (702232202232207).

The spelling of 100110200221206 in words is "one hundred trillion, one hundred ten billion, two hundred million, two hundred twenty-one thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8694 52709 105418 158127 218461 316254 368963 436922 474381 655383 737926 948762 1106889 1212307 1310766 1423143 1529227 1966149 2213778 2424614 2846286 3058454 3320667 3636921 3932298 4587681 5024603 5898447 6641334 7273842 8486149 9175362 9962001 10049206 10910763 11796894 13763043 15073809 16972298 19924002 21821526 25458447 27526086 30147618 32732289 35172221 41289129 45221427 50916894 65464578 70344442 76375341 82578258 90442854 105516663 135664281 152750682 211033326 229126023 271328562 316549989 458252046 633099978 949649967 1899299934 11514860849 23029721698 34544582547 69089165094 80604025943 103633747641 161208051886 207267495282 241812077829 264841799527 310901242923 483624155658 529683599054 621802485846 725436233487 794525398581 1450872466974 1589050797162 1853892596689 2176308700461 2383576195743 3707785193378 4352617400922 4767152391486 5561677790067 7150728587229 11123355580134 14301457174458 16685033370201 33370066740402 50055100110603 100110200221206