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2002112202195 = 35571092159671
BaseRepresentation
bin11101001000100111001…
…011111100010111010011
321002101210122022211200000
4131020213023330113103
5230300311210432240
64131431352501043
7264435130632660
oct35104713742723
97071718284600
102002112202195
11702100163636
122840333aa783
13116a4c035261
146cc8d1d4a67
153712d655430
hex1d2272fc5d3

2002112202195 has 96 divisors (see below), whose sum is σ = 4150716810240. Its totient is φ = 906854071680.

The previous prime is 2002112202137. The next prime is 2002112202199. The reversal of 2002112202195 is 5912022112002.

It is a happy number.

2002112202195 is a `hidden beast` number, since 200 + 21 + 1 + 220 + 219 + 5 = 666.

It is not a de Polignac number, because 2002112202195 - 27 = 2002112202067 is a prime.

It is a super-2 number, since 2×20021122021952 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2002112202199) 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 95 ways as a sum of consecutive naturals, for example, 152791 + ... + 2006880.

It is an arithmetic number, because the mean of its divisors is an integer number (43236633440).

Almost surely, 22002112202195 is an apocalyptic number.

2002112202195 is an abundant number, since it is smaller than the sum of its proper divisors (2148604608045).

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

2002112202195 is a wasteful number, since it uses less digits than its factorization.

2002112202195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159807 (or 2159795 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 2002112202195 its reverse (5912022112002), we get a palindrome (7914134314197).

The spelling of 2002112202195 in words is "two trillion, two billion, one hundred twelve million, two hundred two thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 109 135 189 243 315 327 405 545 567 763 945 981 1215 1635 1701 2289 2835 2943 3815 4905 6867 8505 8829 11445 14715 20601 26487 34335 44145 61803 103005 132435 185409 309015 927045 2159671 6479013 10798355 15117697 19437039 32395065 45353091 58311117 75588485 97185195 136059273 174933351 226765455 235404139 291555585 408177819 524800053 680296365 706212417 874666755 1177020695 1224533457 1647828973 2040889095 2118637251 2624000265 3531062085 3673600371 4943486919 6122667285 6355911753 8239144865 10593186255 14830460757 18368001855 19067735259 24717434595 31779558765 44491382271 57203205777 74152303785 95338676295 133474146813 222456911355 286016028885 400422440439 667370734065 2002112202195