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11322131325 = 35217330727
BaseRepresentation
bin10101000101101101…
…00000001101111101
31002020001120212100020
422202312200031331
5141141431200300
65111252322353
7550400346141
oct124266401575
932201525306
1011322131325
11489005892a
12223b9133b9
1310b58a39bb
147959a5221
15463ec08a0
hex2a2da037d

11322131325 has 48 divisors (see below), whose sum is σ = 19889619840. Its totient is φ = 5683080960.

The previous prime is 11322131323. The next prime is 11322131417. The reversal of 11322131325 is 52313122311.

It is a happy number.

11322131325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11322131325 - 21 = 11322131323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11322131295 and 11322131304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322131323) 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 47 ways as a sum of consecutive naturals, for example, 353112 + ... + 383838.

It is an arithmetic number, because the mean of its divisors is an integer number (414367080).

Almost surely, 211322131325 is an apocalyptic number.

11322131325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11322131325 is a deficient number, since it is larger than the sum of its proper divisors (8567488515).

11322131325 is an equidigital number, since it uses as much as digits as its factorization.

11322131325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30791 (or 30752 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

Adding to 11322131325 its reverse (52313122311), we get a palindrome (63635253636).

The spelling of 11322131325 in words is "eleven billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 289 425 867 1275 1445 4335 4913 7225 14739 21675 24565 30727 73695 92181 122825 153635 368475 460905 522359 768175 1567077 2304525 2611795 7835385 8880103 13058975 26640309 39176925 44400515 133201545 150961751 222002575 452885253 666007725 754808755 2264426265 3774043775 11322131325