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10312433421301 = 1110130730234913
BaseRepresentation
bin1001011000010000110011…
…1011100100101111110101
31100111212012012211112011201
42112010030323210233311
52322424330423440201
633533244433332501
72113022466533434
oct226041473445765
940455165745151
1010312433421301
113316529904810
1211a6751107131
1359a5c5b6254b
142791a567311b
1512d3b3e38801
hex9610cee4bf5

10312433421301 has 16 divisors (see below), whose sum is σ = 11398320698688. Its totient is φ = 9251883072000.

The previous prime is 10312433421287. The next prime is 10312433421337.

10312433421301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10312433421301 - 215 = 10312433388533 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10312433421301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312433421391) 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 15 ways as a sum of consecutive naturals, for example, 14776380 + ... + 15458533.

It is an arithmetic number, because the mean of its divisors is an integer number (712395043668).

Almost surely, 210312433421301 is an apocalyptic number.

10312433421301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10312433421301 is a deficient number, since it is larger than the sum of its proper divisors (1085887277387).

10312433421301 is a wasteful number, since it uses less digits than its factorization.

10312433421301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30235332.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 1031243 and 3421301, that added together give a palindrome (4452544).

The spelling of 10312433421301 in words is "ten trillion, three hundred twelve billion, four hundred thirty-three million, four hundred twenty-one thousand, three hundred one".

Divisors: 1 11 101 307 1111 3377 31007 341077 30234913 332584043 3053726213 9282118291 33590988343 102103301201 937493947391 10312433421301