Search a number
-
+
1053313313 = 13233522787
BaseRepresentation
bin111110110010000…
…100100100100001
32201101222212020012
4332302010210201
54124122011223
6252304054305
735050005203
oct7662044441
92641885205
101053313313
114a0627978
12254904395
1313a2b5720
149dc68773
1562712c78
hex3ec84921

1053313313 has 8 divisors (see below), whose sum is σ = 1183656768. Its totient is φ = 930015504.

The previous prime is 1053313297. The next prime is 1053313343. The reversal of 1053313313 is 3133133501.

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 1053313313 - 24 = 1053313297 is a prime.

It is a super-2 number, since 2×10533133132 = 2218937870686071938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1053313343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1761095 + ... + 1761692.

It is an arithmetic number, because the mean of its divisors is an integer number (147957096).

Almost surely, 21053313313 is an apocalyptic number.

1053313313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1053313313 is a deficient number, since it is larger than the sum of its proper divisors (130343455).

1053313313 is a wasteful number, since it uses less digits than its factorization.

1053313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522823.

The product of its (nonzero) digits is 1215, while the sum is 23.

The square root of 1053313313 is about 32454.7887529714. The cubic root of 1053313313 is about 1017.4643260920.

Adding to 1053313313 its reverse (3133133501), we get a palindrome (4186446814).

The spelling of 1053313313 in words is "one billion, fifty-three million, three hundred thirteen thousand, three hundred thirteen".

Divisors: 1 13 23 299 3522787 45796231 81024101 1053313313