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31323414411 = 3259211279571
BaseRepresentation
bin11101001011000001…
…010101111110001011
32222211222112022122200
4131023001111332023
51003122243230121
622220105251243
72156136425622
oct351301257613
988758468580
1031323414411
1112314283953
1260a2193b23
132c5260a653
1417321026b9
15c34de1a26
hex74b055f8b

31323414411 has 24 divisors (see below), whose sum is σ = 46230025920. Its totient is φ = 20430975600.

The previous prime is 31323414391. The next prime is 31323414439. The reversal of 31323414411 is 11441432313.

31323414411 is a `hidden beast` number, since 3 + 1 + 3 + 234 + 14 + 411 = 666.

It is not a de Polignac number, because 31323414411 - 26 = 31323414347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31323414491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27745 + ... + 251826.

It is an arithmetic number, because the mean of its divisors is an integer number (1926251080).

Almost surely, 231323414411 is an apocalyptic number.

31323414411 is a deficient number, since it is larger than the sum of its proper divisors (14906611509).

31323414411 is a wasteful number, since it uses less digits than its factorization.

31323414411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279847 (or 279844 counting only the distinct ones).

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

Adding to 31323414411 its reverse (11441432313), we get a palindrome (42764846724).

It can be divided in two parts, 313234 and 14411, that added together give a triangular number (327645 = T809).

The spelling of 31323414411 in words is "thirty-one billion, three hundred twenty-three million, four hundred fourteen thousand, four hundred eleven".

Divisors: 1 3 9 59 177 211 531 633 1899 12449 37347 112041 279571 838713 2516139 16494689 49484067 58989481 148452201 176968443 530905329 3480379379 10441138137 31323414411