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231114401210441 = 76113735171123327
BaseRepresentation
bin110100100011001010000011…
…110010010110000001001001
31010022022022122222210212121202
4310203022003302112001021
5220243034243202213231
62135312253514113545
766452315212012610
oct6443120362260111
91108268588725552
10231114401210441
1167705081385a01
1221b0762941b8b5
139bc5cc0c5b798
14410ddd4d4c877
151babc38c9e5cb
hexd23283c96049

231114401210441 has 32 divisors (see below), whose sum is σ = 270497454292992. Its totient is φ = 193373112015360.

The previous prime is 231114401210333. The next prime is 231114401210467. The reversal of 231114401210441 is 144012104411132.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231114401210441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231114401210471) 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 31 ways as a sum of consecutive naturals, for example, 205179320 + ... + 206302646.

It is an arithmetic number, because the mean of its divisors is an integer number (8453045446656).

Almost surely, 2231114401210441 is an apocalyptic number.

It is an amenable number.

231114401210441 is a deficient number, since it is larger than the sum of its proper divisors (39383053082551).

231114401210441 is a wasteful number, since it uses less digits than its factorization.

231114401210441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127049.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 231114401210441 its reverse (144012104411132), we get a palindrome (375126505621573).

The spelling of 231114401210441 in words is "two hundred thirty-one trillion, one hundred fourteen billion, four hundred one million, two hundred ten thousand, four hundred forty-one".

Divisors: 1 7 61 137 427 959 3517 8357 24619 58499 214537 481829 1123327 1501759 3372803 7863289 29391569 68522947 153895799 205740983 479660629 1077270593 3950741059 9387643739 27655187413 65713506173 240995204599 541251525083 1686966432193 3788760675581 33016343030063 231114401210441