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200111103222102 = 232172233541828169
BaseRepresentation
bin101101011111111111111111…
…001110010010000101010110
3222020112102201211221112011100
4231133333333032102011112
5202212110014411101402
61545333434405050530
760102356454161112
oct5537777716220526
9866472654845140
10200111103222102
1158841707979566
121a53aa576b6a46
13878751c1c7217
14375b601544742
151820537e5771c
hexb5ffff392156

200111103222102 has 96 divisors (see below), whose sum is σ = 461267845758720. Its totient is φ = 62480704112640.

The previous prime is 200111103222089. The next prime is 200111103222103. The reversal of 200111103222102 is 201222301111002.

200111103222102 is a `hidden beast` number, since 20 + 0 + 1 + 1 + 110 + 322 + 210 + 2 = 666.

It is a super-2 number, since 2×2001111032221022 (a number of 29 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 (200111103222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241216674 + ... + 242044842.

It is an arithmetic number, because the mean of its divisors is an integer number (4804873393320).

Almost surely, 2200111103222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200111103222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230633922879360).

200111103222102 is an abundant number, since it is smaller than the sum of its proper divisors (261156742536618).

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

200111103222102 is a wasteful number, since it uses less digits than its factorization.

200111103222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831958 (or 831955 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 200111103222102 its reverse (201222301111002), we get a palindrome (401333404333104).

The spelling of 200111103222102 in words is "two hundred trillion, one hundred eleven billion, one hundred three million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 223 306 446 669 1338 2007 3541 3791 4014 7082 7582 10623 11373 21246 22746 31869 34119 60197 63738 68238 120394 180591 361182 541773 789643 828169 1083546 1579286 1656338 2368929 2484507 4737858 4969014 7106787 7453521 13423931 14078873 14213574 14907042 26847862 28157746 40271793 42236619 80543586 84473238 120815379 126709857 184681687 241630758 253419714 369363374 554045061 1108090122 1662135183 2932546429 3139588679 3324270366 5865092858 6279177358 8797639287 9418766037 17595278574 18837532074 26392917861 28256298111 49853289293 52785835722 56512596222 99706578586 149559867879 299119735758 448679603637 653957853667 897359207274 1307915707334 1961873561001 3923747122002 5885620683003 11117283512339 11771241366006 22234567024678 33351850537017 66703701074034 100055551611051 200111103222102