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10331400393 = 36101140317
BaseRepresentation
bin10011001111100110…
…01010100011001001
3222200000100112000000
421213303022203021
5132124314303033
64425101433213
7514010311566
oct114763124311
928600315000
1010331400393
114421896036
122003b6b809
13c88560792
1470018b86d
15407020a13
hex267cca8c9

10331400393 has 28 divisors (see below), whose sum is σ = 15643492548. Its totient is φ = 6819357600.

The previous prime is 10331400377. The next prime is 10331400421. The reversal of 10331400393 is 39300413301.

10331400393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10082770569 + 248629824 = 100413^2 + 15768^2 .

It is not a de Polignac number, because 10331400393 - 24 = 10331400377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10331400323) 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 27 ways as a sum of consecutive naturals, for example, 3471 + ... + 143787.

Almost surely, 210331400393 is an apocalyptic number.

It is an amenable number.

10331400393 is a deficient number, since it is larger than the sum of its proper divisors (5312092155).

10331400393 is an equidigital number, since it uses as much as digits as its factorization.

10331400393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140436 (or 140421 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 10331400393 its reverse (39300413301), we get a palindrome (49631813694).

The spelling of 10331400393 in words is "ten billion, three hundred thirty-one million, four hundred thousand, three hundred ninety-three".

Divisors: 1 3 9 27 81 101 243 303 729 909 2727 8181 24543 73629 140317 420951 1262853 3788559 11365677 14172017 34097031 42516051 102291093 127548153 382644459 1147933377 3443800131 10331400393