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10312412301 = 3253155313921
BaseRepresentation
bin10011001101010101…
…01110110010001101
3222121200121211020100
421212222232302031
5132104434143201
64423142441313
7513360025662
oct114652566215
928550554210
1010312412301
1144120a6aa4
121bb9733239
13c84642b19
146db847a69
1540551e886
hex266aaec8d

10312412301 has 24 divisors (see below), whose sum is σ = 15187621176. Its totient is φ = 6740398080.

The previous prime is 10312412293. The next prime is 10312412303. The reversal of 10312412301 is 10321421301.

10312412301 is a `hidden beast` number, since 10 + 312 + 41 + 2 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1041611076 + 9270801225 = 32274^2 + 96285^2 .

It is not a de Polignac number, because 10312412301 - 23 = 10312412293 is a prime.

It is a super-2 number, since 2×103124123012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312412303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733821 + ... + 747741.

It is an arithmetic number, because the mean of its divisors is an integer number (632817549).

Almost surely, 210312412301 is an apocalyptic number.

It is an amenable number.

10312412301 is a deficient number, since it is larger than the sum of its proper divisors (4875208875).

10312412301 is a wasteful number, since it uses less digits than its factorization.

10312412301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15533 (or 15530 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10312412301 its reverse (10321421301), we get a palindrome (20633833602).

The spelling of 10312412301 in words is "ten billion, three hundred twelve million, four hundred twelve thousand, three hundred one".

Divisors: 1 3 9 53 159 477 1553 4659 13921 13977 41763 82309 125289 246927 737813 740781 2213439 6640317 21619313 64857939 194573817 1145823589 3437470767 10312412301