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1332312201031 = 721735343910321
BaseRepresentation
bin10011011000110011111…
…111101101011101000111
311201100221010110100010111
4103120303333231131013
5133312033410413111
62500020014133451
7165153636566200
oct23306377553507
94640833410114
101332312201031
11474037560069
121962647b1287
1398837517016
14486acb1a5a7
15249caa30a21
hex13633fed747

1332312201031 has 48 divisors (see below), whose sum is σ = 1649556342720. Its totient is φ = 1069216727040.

The previous prime is 1332312201001. The next prime is 1332312201119. The reversal of 1332312201031 is 1301022132331.

It is not a de Polignac number, because 1332312201031 - 29 = 1332312200519 is a prime.

It is a super-2 number, since 2×13323122010312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1332312200993 and 1332312201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332312201001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129082351 + ... + 129092671.

It is an arithmetic number, because the mean of its divisors is an integer number (34365757140).

Almost surely, 21332312201031 is an apocalyptic number.

1332312201031 is a deficient number, since it is larger than the sum of its proper divisors (317244141689).

1332312201031 is a wasteful number, since it uses less digits than its factorization.

1332312201031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11144 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1332312201031 its reverse (1301022132331), we get a palindrome (2633334333362).

The spelling of 1332312201031 in words is "one trillion, three hundred thirty-two billion, three hundred twelve million, two hundred one thousand, thirty-one".

Divisors: 1 7 17 49 119 353 439 833 2471 3073 6001 7463 10321 17297 21511 42007 52241 72247 154967 175457 294049 365687 505729 1084769 1228199 2634439 3643313 4530919 7593383 8597393 18441073 25503191 31716433 61936321 77025623 129087511 178522337 222015031 433554247 539179361 1599414407 3034879729 3774255527 11195900849 27190044919 78371305943 190330314433 1332312201031