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33112103102221 = 11136713037265093
BaseRepresentation
bin1111000011101100000110…
…01001001010011100001101
311100020111010101201200012011
413201312003021022130031
513320002041343232341
6154231253513141221
76655161532321153
oct741660311123415
9140214111650164
1033112103102221
11a606844a74750
1238694203ba811
1315625c50a1c20
148268c48bd3d3
153c64c6091b81
hex1e1d8324a70d

33112103102221 has 32 divisors (see below), whose sum is σ = 39484720614528. Its totient is φ = 27369455351040.

The previous prime is 33112103102207. The next prime is 33112103102227. The reversal of 33112103102221 is 12220130121133.

It is not a de Polignac number, because 33112103102221 - 219 = 33112102577933 is a prime.

It is a super-2 number, since 2×331121031022212 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33112103102192 and 33112103102201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33112103102227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124774951 + ... + 125040043.

It is an arithmetic number, because the mean of its divisors is an integer number (1233897519204).

Almost surely, 233112103102221 is an apocalyptic number.

It is an amenable number.

33112103102221 is a deficient number, since it is larger than the sum of its proper divisors (6372617512307).

33112103102221 is a wasteful number, since it uses less digits than its factorization.

33112103102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278221.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 33112103102221 its reverse (12220130121133), we get a palindrome (45332233223354).

The spelling of 33112103102221 in words is "thirty-three trillion, one hundred twelve billion, one hundred three million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 11 13 67 143 737 871 9581 13037 143407 169481 265093 873479 1864291 2916023 3446209 9608269 11355227 17761231 37908299 124907497 195373541 230896003 2539856033 3456017441 38016191851 44928226733 231553168547 494210494063 2547084854017 3010191191111 33112103102221