Search a number
-
+
10355431345 = 57295869467
BaseRepresentation
bin10011010010011101…
…10101011110110001
3222201200120102021021
421221032311132301
5132201442300340
64431320455441
7514421466640
oct115116653661
928650512237
1010355431345
114434409926
12201001a581
13c9052588c
14703445357
154091bae4a
hex2693b57b1

10355431345 has 8 divisors (see below), whose sum is σ = 14201734464. Its totient is φ = 7100867184.

The previous prime is 10355431337. The next prime is 10355431349. The reversal of 10355431345 is 54313455301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10355431345 - 23 = 10355431337 is a prime.

It is a super-3 number, since 3×103554313453 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10355431345.

It is not an unprimeable number, because it can be changed into a prime (10355431349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147934699 + ... + 147934768.

It is an arithmetic number, because the mean of its divisors is an integer number (1775216808).

Almost surely, 210355431345 is an apocalyptic number.

It is an amenable number.

10355431345 is a deficient number, since it is larger than the sum of its proper divisors (3846303119).

10355431345 is an equidigital number, since it uses as much as digits as its factorization.

10355431345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295869479.

The product of its (nonzero) digits is 54000, while the sum is 34.

Adding to 10355431345 its reverse (54313455301), we get a palindrome (64668886646).

The spelling of 10355431345 in words is "ten billion, three hundred fifty-five million, four hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 5 7 35 295869467 1479347335 2071086269 10355431345