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100110220220112 = 24317131936519797
BaseRepresentation
bin10110110000110010111010…
…000111010101011011010000
3111010110102222101002211212020
4112300302322013111123100
5101110201212334020422
6552530000020331440
730041503403433654
oct2660627207253320
9433412871084766
10100110220220112
112999756249a983
12b28a046243b80
1343b24791597bb
141aa150935ca64
15b8916adb795c
hex5b0cba1d56d0

100110220220112 has 80 divisors (see below), whose sum is σ = 275921208965952. Its totient is φ = 31167378810880.

The previous prime is 100110220220047. The next prime is 100110220220117. The reversal of 100110220220112 is 211022022011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110220220091 and 100110220220100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110220220117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 468153003 + ... + 468366794.

Almost surely, 2100110220220112 is an apocalyptic number.

100110220220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110220220112 is an abundant number, since it is smaller than the sum of its proper divisors (175810988745840).

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

100110220220112 is a wasteful number, since it uses less digits than its factorization.

100110220220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936519956 (or 936519950 counting only the distinct ones).

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

Adding to 100110220220112 its reverse (211022022011001), we get a palindrome (311132242231113).

The spelling of 100110220220112 in words is "one hundred trillion, one hundred ten billion, two hundred twenty million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 204 262 272 393 408 524 786 816 1048 1572 2096 2227 3144 4454 6288 6681 8908 13362 17816 26724 35632 53448 106896 936519797 1873039594 2809559391 3746079188 5619118782 7492158376 11238237564 14984316752 15920836549 22476475128 31841673098 44952950256 47762509647 63683346196 95525019294 122684093407 127366692392 191050038588 245368186814 254733384784 368052280221 382100077176 490736373628 736104560442 764200154352 981472747256 1472209120884 1962945494512 2085629587919 2944418241768 4171259175838 5888836483536 6256888763757 8342518351676 12513777527514 16685036703352 25027555055028 33370073406704 50055110110056 100110220220112