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222112100202102 = 2321123102147769803
BaseRepresentation
bin110010100000001010000000…
…110101010011011001110110
31002010102201011011020201020100
4302200022000311103121312
5213103041040122431402
62104220520141014530
764533032621003235
oct6240120065233166
91063381134221210
10222112100202102
11648542381281a0
1220ab2990b54446
1396c21094629c6
143cbc3d6814b1c
151aa29a35a271c
hexca0280d53676

222112100202102 has 96 divisors (see below), whose sum is σ = 548354548175616. Its totient is φ = 64317261412800.

The previous prime is 222112100202101. The next prime is 222112100202103. The reversal of 222112100202102 is 201202001211222.

It is a happy number.

222112100202102 is a `hidden beast` number, since 2 + 221 + 1 + 210 + 0 + 20 + 210 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (222112100202101) and next prime (222112100202103).

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 (222112100202101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19235268 + ... + 28534535.

It is an arithmetic number, because the mean of its divisors is an integer number (5712026543496).

Almost surely, 2222112100202102 is an apocalyptic number.

222112100202102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222112100202102 is an abundant number, since it is smaller than the sum of its proper divisors (326242447973514).

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

222112100202102 is a wasteful number, since it uses less digits than its factorization.

222112100202102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47770866 (or 47770863 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222112100202102 its reverse (201202001211222), we get a palindrome (423314101413324).

The spelling of 222112100202102 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1021 1518 2042 2277 3063 4554 6126 9189 11231 18378 22462 23483 33693 46966 67386 70449 101079 140898 202158 211347 258313 422694 516626 774939 1549878 2324817 4649634 47769803 95539606 143309409 286618818 429928227 525467833 859856454 1050935666 1098705469 1576403499 2197410938 3152806998 3296116407 4729210497 6592232814 9458420994 9888349221 12085760159 19776698442 24171520318 36257280477 48772968863 72514560954 97545937726 108771841431 146318906589 217543682862 292637813178 438956719767 536502657493 877913439534 1073005314986 1121778283849 1609507972479 2243556567698 3219015944958 3365334851547 4828523917437 6730669703094 9657047834874 10096004554641 12339561122339 20192009109282 24679122244678 37018683367017 74037366734034 111056050101051 222112100202102