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311232404232113 = 71397113312027763
BaseRepresentation
bin100011011000100000111000…
…0111001011001011110110001
31111210222112020101011111110212
41012301001300321121132301
5311243212430440411423
63021534105341033505
7122361541054230350
oct10661016071313661
91453875211144425
10311232404232113
1190193a15416851
122aaa6b12555895
131048812234b180
1456bda2b939997
1525ead081c6578
hex11b1070e597b1

311232404232113 has 32 divisors (see below), whose sum is σ = 390429108093696. Its totient is φ = 241554419785728.

The previous prime is 311232404232103. The next prime is 311232404232119.

311232404232113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311232404232113 - 224 = 311232387454897 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 311232404232113.

It is not an unprimeable number, because it can be changed into a prime (311232404232119) 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 31 ways as a sum of consecutive naturals, for example, 155016431 + ... + 157011332.

It is an arithmetic number, because the mean of its divisors is an integer number (12200909627928).

Almost surely, 2311232404232113 is an apocalyptic number.

It is an amenable number.

311232404232113 is a deficient number, since it is larger than the sum of its proper divisors (79196703861583).

311232404232113 is a wasteful number, since it uses less digits than its factorization.

311232404232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312027993.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 31123240 and 4232113, that added together give a palindrome (35355353).

The spelling of 311232404232113 in words is "three hundred eleven trillion, two hundred thirty-two billion, four hundred four million, two hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 7 13 91 97 113 679 791 1261 1469 8827 10283 10961 76727 142493 997451 312027763 2184194341 4056360919 28394526433 30266693011 35259137219 211866851077 246813960533 393467009143 458368783847 2754269064001 3208581486929 3420136310243 23940954171701 44461772033159 311232404232113