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22132112331033 = 32172942831164623
BaseRepresentation
bin1010000100001000010001…
…01100011001000100011001
32220100210211221222010200100
411002010020230121010121
510400103031224043113
6115023204012530013
74442664242556555
oct502041054310431
986323757863610
1022132112331033
1170631a3478581
122595427780909
13c47084237343
145672b2952865
15285a91377d73
hex142108b19119

22132112331033 has 48 divisors (see below), whose sum is σ = 35024529496320. Its totient is φ = 13404817853952.

The previous prime is 22132112331023. The next prime is 22132112331041. The reversal of 22132112331033 is 33013321123122.

22132112331033 is a `hidden beast` number, since 2 + 2 + 1 + 321 + 1 + 2 + 331 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 22132112331033 - 26 = 22132112330969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22132112330988 and 22132112331006.

It is not an unprimeable number, because it can be changed into a prime (22132112331023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18421360 + ... + 19585982.

It is an arithmetic number, because the mean of its divisors is an integer number (729677697840).

Almost surely, 222132112331033 is an apocalyptic number.

It is an amenable number.

22132112331033 is a deficient number, since it is larger than the sum of its proper divisors (12892417165287).

22132112331033 is a wasteful number, since it uses less digits than its factorization.

22132112331033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168958 (or 1168955 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22132112331033 its reverse (33013321123122), we get a palindrome (55145433454155).

The spelling of 22132112331033 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred twelve million, three hundred thirty-one thousand, thirty-three".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4283 4437 12849 38547 72811 124207 218433 372621 655299 1117863 1164623 2111519 3493869 6334557 10481607 19003671 19798591 33774067 59395773 101322201 178187319 303966603 574159139 1722477417 4988080309 5167432251 14964240927 44892722781 84797365253 144654328961 254392095759 433962986883 763176287277 1301888960649 2459123592337 7377370777011 22132112331033