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31433211233413 = 11199313007110233
BaseRepresentation
bin1110010010110100111010…
…11000111100010010000101
311010021222121112111000102221
413021122131120330102011
513110000204033432123
6150504115021532341
76422655164022523
oct711323530742205
9133258545430387
1031433211233413
11a019828308590
123637b72a140b1
1314701a67b0b12
147a95386b1313
153979b392e25d
hex1c969d63c485

31433211233413 has 16 divisors (see below), whose sum is σ = 34310930409216. Its totient is φ = 28558853648640.

The previous prime is 31433211233407. The next prime is 31433211233429.

31433211233413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31433211233413 is a prime.

It is a super-3 number, since 3×314332112334133 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31433211233213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285097345 + ... + 285207577.

It is an arithmetic number, because the mean of its divisors is an integer number (2144433150576).

Almost surely, 231433211233413 is an apocalyptic number.

It is an amenable number.

31433211233413 is a deficient number, since it is larger than the sum of its proper divisors (2877719175803).

31433211233413 is a wasteful number, since it uses less digits than its factorization.

31433211233413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125244.

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 3143321 and 1233413, that added together give a palindrome (4376734).

The spelling of 31433211233413 in words is "thirty-one trillion, four hundred thirty-three billion, two hundred eleven million, two hundred thirty-three thousand, four hundred thirteen".

Divisors: 1 11 1993 13007 21923 110233 143077 1212563 25922951 219694369 285152461 1433800631 2416638059 15771806941 2857564657583 31433211233413