Search a number
-
+
1331311033032 = 23373375677071
BaseRepresentation
bin10011010111111000010…
…100100011101011001000
311201021100100120201211020
4103113320110203223020
5133303011111024112
62455332411432440
7165120062032101
oct23277024435310
94637310521736
101331311033032
114736734097a2
12196025455720
1398707c8b316
1448615b873a8
152496cbbd48c
hex135f8523ac8

1331311033032 has 32 divisors (see below), whose sum is σ = 3332818250880. Its totient is φ = 443164921920.

The previous prime is 1331311033001. The next prime is 1331311033093. The reversal of 1331311033032 is 2303301131331.

It is a super-2 number, since 2×13313110330322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1331311032993 and 1331311033011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37820944 + ... + 37856127.

It is an arithmetic number, because the mean of its divisors is an integer number (104150570340).

Almost surely, 21331311033032 is an apocalyptic number.

1331311033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331311033032 is an abundant number, since it is smaller than the sum of its proper divisors (2001507217848).

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

1331311033032 is a wasteful number, since it uses less digits than its factorization.

1331311033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75677813 (or 75677809 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1331311033032 its reverse (2303301131331), we get a palindrome (3634612164363).

The spelling of 1331311033032 in words is "one trillion, three hundred thirty-one billion, three hundred eleven million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 733 1466 2199 2932 4398 5864 8796 17592 75677071 151354142 227031213 302708284 454062426 605416568 908124852 1816249704 55471293043 110942586086 166413879129 221885172172 332827758258 443770344344 665655516516 1331311033032