Search a number
-
+
1332003132110 = 257217315713143
BaseRepresentation
bin10011011000100001100…
…100101101001011001110
311201100010120220000021102
4103120201210231023032
5133310420300211420
62455525213503102
7165143164545500
oct23304144551316
94640116800242
101332003132110
11473999052002
121961991a1a92
13987b84923c1
144867da65d70
15249ad82ea75
hex1362192d2ce

1332003132110 has 48 divisors (see below), whose sum is σ = 2805173319456. Its totient is φ = 454046951232.

The previous prime is 1332003132073. The next prime is 1332003132113. The reversal of 1332003132110 is 112313002331.

It is a super-2 number, since 2×13320031321102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332003132113) 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 23 ways as a sum of consecutive naturals, for example, 7771802 + ... + 7941341.

It is an arithmetic number, because the mean of its divisors is an integer number (58441110822).

Almost surely, 21332003132110 is an apocalyptic number.

1332003132110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1332003132110 is an abundant number, since it is smaller than the sum of its proper divisors (1473170187346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1332003132110 is a wasteful number, since it uses less digits than its factorization.

1332003132110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15713337 (or 15713330 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1332003132110 its reverse (112313002331), we get a palindrome (1444316134441).

The spelling of 1332003132110 in words is "one trillion, three hundred thirty-two billion, three million, one hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 173 245 346 490 865 1211 1730 2422 6055 8477 12110 16954 42385 84770 15713143 31426286 78565715 109992001 157131430 219984002 549960005 769944007 1099920010 1539888014 2718373739 3849720035 5436747478 7699440070 13591868695 19028616173 27183737390 38057232346 95143080865 133200313211 190286161730 266400626422 666001566055 1332003132110