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1310000332433 = 13445866753
BaseRepresentation
bin10011000100000010000…
…110101011111010010001
311122020100011201222100212
4103010002012223322101
5132430340041114213
62441450021253505
7163434013046462
oct23040206537221
94566304658325
101310000332433
11465628043a41
12191a78564295
13966bcba0000
1447593796d69
1524121d4b9a8
hex131021abe91

1310000332433 has 10 divisors (see below), whose sum is σ = 1419163235514. Its totient is φ = 1209231049728.

The previous prime is 1310000332351. The next prime is 1310000332481. The reversal of 1310000332433 is 3342330000131.

It can be written as a sum of positive squares in 5 ways, for example, as 1005172671889 + 304827660544 = 1002583^2 + 552112^2 .

It is not a de Polignac number, because 1310000332433 - 28 = 1310000332177 is a prime.

It is a super-4 number, since 4×13100003324334 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1310000332399 and 1310000332408.

It is not an unprimeable number, because it can be changed into a prime (1310000332033) 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 9 ways as a sum of consecutive naturals, for example, 22904816 + ... + 22961937.

Almost surely, 21310000332433 is an apocalyptic number.

1310000332433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310000332433 is a deficient number, since it is larger than the sum of its proper divisors (109162903081).

1310000332433 is an frugal number, since it uses more digits than its factorization.

1310000332433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45866805 (or 45866766 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 1310000332433 its reverse (3342330000131), we get a palindrome (4652330332564).

The spelling of 1310000332433 in words is "one trillion, three hundred ten billion, three hundred thirty-two thousand, four hundred thirty-three".

Divisors: 1 13 169 2197 28561 45866753 596267789 7751481257 100769256341 1310000332433