Search a number
-
+
1132303100313 = 372111573744497
BaseRepresentation
bin10000011110100010100…
…001100010100110011001
311000020200011001021210110
4100132202201202212121
5122022424043202223
62224101201034533
7144543345356400
oct20364241424631
94006604037713
101132303100313
113a7230643410
12163546025a49
1382a1135c708
143cb3774a637
151e6c18aed93
hex107a2862999

1132303100313 has 48 divisors (see below), whose sum is σ = 1916046857664. Its totient is φ = 588158807040.

The previous prime is 1132303100303. The next prime is 1132303100339. The reversal of 1132303100313 is 3130013032311.

It is not a de Polignac number, because 1132303100313 - 213 = 1132303092121 is a prime.

It is a super-2 number, since 2×11323031003132 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1132303100313.

It is not an unprimeable number, because it can be changed into a prime (1132303100303) 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, 25424481 + ... + 25468977.

It is an arithmetic number, because the mean of its divisors is an integer number (39917642868).

Almost surely, 21132303100313 is an apocalyptic number.

It is an amenable number.

1132303100313 is a deficient number, since it is larger than the sum of its proper divisors (783743757351).

1132303100313 is a wasteful number, since it uses less digits than its factorization.

1132303100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60262 (or 60255 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1132303100313 its reverse (3130013032311), we get a palindrome (4262316132624).

The spelling of 1132303100313 in words is "one trillion, one hundred thirty-two billion, three hundred three million, one hundred thousand, three hundred thirteen".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 15737 44497 47211 110159 133491 173107 311479 330477 489467 519321 771113 934437 1211749 1468401 2180353 2313339 3426269 3635247 6541059 8482243 10278807 23983883 25446729 71951649 700249289 2100747867 4901745023 7702742179 14705235069 23108226537 34312215161 53919195253 102936645483 161757585759 377434366771 1132303100313