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31411421431101 = 3225733461405857
BaseRepresentation
bin1110010010001100010101…
…00111011100010100111101
311010012220100222010100222200
413021012022213130110331
513104121042341243401
6150450112514502113
76421254206533215
oct711061247342475
9133186328110880
1031411421431101
11a01056655a5a8
1236338b1594939
13146b11337697a
147a846c809245
1539713a9c1686
hex1c918a9dc53d

31411421431101 has 24 divisors (see below), whose sum is σ = 45550071608184. Its totient is φ = 20858790543360.

The previous prime is 31411421431067. The next prime is 31411421431151. The reversal of 31411421431101 is 10113412411413.

31411421431101 is a `hidden beast` number, since 3 + 1 + 411 + 4 + 2 + 143 + 1 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10181683265625 + 21229738165476 = 3190875^2 + 4607574^2 .

It is not a de Polignac number, because 31411421431101 - 237 = 31273982477629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31411421431151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77192365 + ... + 77598221.

It is an arithmetic number, because the mean of its divisors is an integer number (1897919650341).

Almost surely, 231411421431101 is an apocalyptic number.

It is an amenable number.

31411421431101 is a deficient number, since it is larger than the sum of its proper divisors (14138650177083).

31411421431101 is a wasteful number, since it uses less digits than its factorization.

31411421431101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439581 (or 439578 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 31411421431101 its reverse (10113412411413), we get a palindrome (41524833842514).

The spelling of 31411421431101 in words is "thirty-one trillion, four hundred eleven billion, four hundred twenty-one million, four hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 257 771 2313 33461 100383 301149 405857 1217571 3652713 8599477 25798431 77395293 104305249 312915747 938747241 13580381077 40741143231 122223429693 3490157936789 10470473810367 31411421431101