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33222122031213 = 3313934925364329
BaseRepresentation
bin1111000110111001000001…
…10010000100100001101101
311100122000002210202100021000
413203130200302010201231
513323302401214444323
6154354010540430513
76666135103640163
oct743344062044155
9140560083670230
1033222122031213
11a649471873455
123886805548439
13156caa94988cb
1482bd603cd233
153c92b4b77e43
hex1e3720c8486d

33222122031213 has 32 divisors (see below), whose sum is σ = 49714086800000. Its totient is φ = 21925736781696.

The previous prime is 33222122031187. The next prime is 33222122031227. The reversal of 33222122031213 is 31213022122233.

33222122031213 is a `hidden beast` number, since 3 + 3 + 2 + 221 + 220 + 3 + 1 + 213 = 666.

It is not a de Polignac number, because 33222122031213 - 212 = 33222122027117 is a prime.

It is a super-2 number, since 2×332221220312132 (a number of 28 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33222122031283) 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, 11372368 + ... + 13991961.

It is an arithmetic number, because the mean of its divisors is an integer number (1553565212500).

Almost surely, 233222122031213 is an apocalyptic number.

It is an amenable number.

33222122031213 is a deficient number, since it is larger than the sum of its proper divisors (16491964768787).

33222122031213 is a wasteful number, since it uses less digits than its factorization.

33222122031213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25364826 (or 25364820 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33222122031213 its reverse (31213022122233), we get a palindrome (64435144153446).

The spelling of 33222122031213 in words is "thirty-three trillion, two hundred twenty-two billion, one hundred twenty-two million, thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 27 139 349 417 1047 1251 3141 3753 9423 48511 145533 436599 1309797 25364329 76092987 228278961 684836883 3525641731 8852150821 10576925193 26556452463 31730775579 79669357389 95192326737 239008072167 1230448964119 3691346892357 11074040677071 33222122031213