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41331041304100 = 22523221128317421
BaseRepresentation
bin10010110010111001000100…
…00010001111111000100100
312102100012122022222002121021
421121130202002033320210
520404131433033212400
6223523115050500524
711464032506334112
oct1131344202177044
9172305568862537
1041331041304100
111219543a355499
124776296134744
131a0a6676c6462
14a2c60c4ccab2
154ba1addaa71a
hex25972208fe24

41331041304100 has 36 divisors (see below), whose sum is σ = 89716205209428. Its totient is φ = 16527283696000.

The previous prime is 41331041304061. The next prime is 41331041304101. The reversal of 41331041304100 is 140314013314.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1649009664 + 41329392294436 = 40608^2 + 6428794^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (41331041304101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63836611 + ... + 64480810.

It is an arithmetic number, because the mean of its divisors is an integer number (2492116811373).

Almost surely, 241331041304100 is an apocalyptic number.

It is an amenable number.

41331041304100 is an abundant number, since it is smaller than the sum of its proper divisors (48385163905328).

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

41331041304100 is a wasteful number, since it uses less digits than its factorization.

41331041304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128320656 (or 128320649 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 41331041304100 its reverse (140314013314), we get a palindrome (41471355317414).

The spelling of 41331041304100 in words is "forty-one trillion, three hundred thirty-one billion, forty-one million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3221 6442 12884 16105 32210 64420 80525 161050 322100 128317421 256634842 513269684 641587105 1283174210 2566348420 3207935525 6415871050 12831742100 413310413041 826620826082 1653241652164 2066552065205 4133104130410 8266208260820 10332760326025 20665520652050 41331041304100