Search a number
-
+
10312412436 = 2232393172871
BaseRepresentation
bin10011001101010101…
…01110110100010100
3222121200121211102100
421212222232310110
5132104434144221
64423142442100
7513360026244
oct114652566424
928550554370
1010312412436
1144120a7107
121bb9733330
13c84642bc1
146db847b24
1540551e926
hex266aaed14

10312412436 has 36 divisors (see below), whose sum is σ = 26074476064. Its totient is φ = 3436549200.

The previous prime is 10312412423. The next prime is 10312412437. The reversal of 10312412436 is 63421421301.

It is a happy number.

10312412436 is a `hidden beast` number, since 103 + 124 + 1 + 2 + 436 = 666.

10312412436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312412437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105081 + ... + 177951.

Almost surely, 210312412436 is an apocalyptic number.

It is an amenable number.

10312412436 is an abundant number, since it is smaller than the sum of its proper divisors (15762063628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10312412436 is a wasteful number, since it uses less digits than its factorization.

10312412436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76812 (or 76807 counting only the distinct ones).

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

Adding to 10312412436 its reverse (63421421301), we get a palindrome (73733833737).

The spelling of 10312412436 in words is "ten billion, three hundred twelve million, four hundred twelve thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3931 7862 11793 15724 23586 35379 47172 70758 72871 141516 145742 218613 291484 437226 655839 874452 1311678 2623356 286455901 572911802 859367703 1145823604 1718735406 2578103109 3437470812 5156206218 10312412436