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41122030412133 = 32112215318750239
BaseRepresentation
bin10010101100110011110000…
…00000111110000101100101
312101121020011000002200010100
421112121320000332011211
520342220404241142013
6223243111110014313
711442653151143046
oct1126317000760545
9171536130080110
1041122030412133
1112114834133840
124741884947399
1319c3a385b2458
14a2246179c8cd
154b4a29807473
hex25667803e165

41122030412133 has 24 divisors (see below), whose sum is σ = 64801279445760. Its totient is φ = 24921316330560.

The previous prime is 41122030412131. The next prime is 41122030412137. The reversal of 41122030412133 is 33121403022114.

41122030412133 is a `hidden beast` number, since 4 + 1 + 1 + 220 + 304 + 1 + 2 + 133 = 666.

It is not a de Polignac number, because 41122030412133 - 21 = 41122030412131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41122030412097 and 41122030412106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41122030412131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7181973 + ... + 11568266.

It is an arithmetic number, because the mean of its divisors is an integer number (2700053310240).

Almost surely, 241122030412133 is an apocalyptic number.

It is an amenable number.

41122030412133 is a deficient number, since it is larger than the sum of its proper divisors (23679249033627).

41122030412133 is a wasteful number, since it uses less digits than its factorization.

41122030412133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18772409 (or 18772406 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41122030412133 its reverse (33121403022114), we get a palindrome (74243433434247).

The spelling of 41122030412133 in words is "forty-one trillion, one hundred twenty-two billion, thirty million, four hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 99 22153 66459 199377 243683 731049 2193147 18750239 56250717 168752151 206252629 618757887 1856273661 415374044567 1246122133701 3738366401103 4569114490237 13707343470711 41122030412133