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20102002112214 = 23211147716873283
BaseRepresentation
bin1001001001000010111001…
…01100011111011011010110
32122011201210002102200112200
410210201130230133123112
510113322400020042324
6110430422101225330
74143215231460141
oct444413454373326
978151702380480
1020102002112214
116450236152730
122307a9ba02246
13b2a7c282a059
144d6d29167058
1524cd74c4dec9
hex12485cb1f6d6

20102002112214 has 48 divisors (see below), whose sum is σ = 47517046784064. Its totient is φ = 6091102508400.

The previous prime is 20102002112189. The next prime is 20102002112219. The reversal of 20102002112214 is 41221120020102.

20102002112214 is a `hidden beast` number, since 20 + 10 + 200 + 211 + 221 + 4 = 666.

It is a super-2 number, since 2×201020021122142 (a number of 27 digits) contains 22 as substring.

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 (20102002112219) 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 23 ways as a sum of consecutive naturals, for example, 511984 + ... + 6361299.

It is an arithmetic number, because the mean of its divisors is an integer number (989938474668).

Almost surely, 220102002112214 is an apocalyptic number.

20102002112214 is an abundant number, since it is smaller than the sum of its proper divisors (27415044671850).

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

20102002112214 is a wasteful number, since it uses less digits than its factorization.

20102002112214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888073 (or 6888070 counting only the distinct ones).

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

Adding to 20102002112214 its reverse (41221120020102), we get a palindrome (61323122132316).

The spelling of 20102002112214 in words is "twenty trillion, one hundred two billion, two million, one hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 14771 29542 44313 88626 132939 162481 265878 324962 487443 974886 1462329 2924658 6873283 13746566 20619849 41239698 61859547 75606113 123719094 151212226 226818339 453636678 680455017 1360910034 101525263193 203050526386 304575789579 609151579158 913727368737 1116777895123 1827454737474 2233555790246 3350333685369 6700667370738 10051001056107 20102002112214