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21002022200112 = 2435971341103951
BaseRepresentation
bin1001100011001111010100…
…00100101010001100110000
32202100202220001000100012020
410301213222010222030300
510223044120140400422
6112400110143231440
74265226455134032
oct461475204521460
982322801010166
1021002022200112
1167679a9012898
1224323ba8a8580
13b946364ca595
1452870909bc52
1526649dde795c
hex1319ea12a330

21002022200112 has 80 divisors (see below), whose sum is σ = 55176108264960. Its totient is φ = 6881855904000.

The previous prime is 21002022200111. The next prime is 21002022200129. The reversal of 21002022200112 is 21100222020012.

It is a junction number, because it is equal to n+sod(n) for n = 21002022200091 and 21002022200100.

It is not an unprimeable number, because it can be changed into a prime (21002022200111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 201985737 + ... + 202089687.

It is an arithmetic number, because the mean of its divisors is an integer number (689701353312).

Almost surely, 221002022200112 is an apocalyptic number.

It is an amenable number.

21002022200112 is an abundant number, since it is smaller than the sum of its proper divisors (34174086064848).

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

21002022200112 is a wasteful number, since it uses less digits than its factorization.

21002022200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175362 (or 175356 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21002022200112 its reverse (21100222020012), we get a palindrome (42102244220124).

The spelling of 21002022200112 in words is "twenty-one trillion, two billion, twenty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 71341 103951 142682 207902 214023 285364 311853 415804 428046 570728 623706 831608 856092 1141456 1247412 1663216 1712184 2494824 3424368 4209119 4989648 6133109 8418238 12266218 12627357 16836476 18399327 24532436 25254714 33672952 36798654 49064872 50509428 67345904 73597308 98129744 101018856 147194616 202037712 294389232 7415968291 14831936582 22247904873 29663873164 44495809746 59327746328 88991619492 118655492656 177983238984 355966477968 437542129169 875084258338 1312626387507 1750168516676 2625252775014 3500337033352 5250505550028 7000674066704 10501011100056 21002022200112