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331223043013431 = 31919757751121507
BaseRepresentation
bin100101101001111101101111…
…1110100011111101100110111
31121102202121120100211211020120
41023103323133310133230313
5321403224243002412211
63132241433151503023
7126524034531230442
oct11323733764375467
91542677510754216
10331223043013431
11965a09a38a5718
12311952b2b27a73
13112a827809b24a
145bb13d07d4659
152845d112ccd06
hex12d3edfd1fb37

331223043013431 has 32 divisors (see below), whose sum is σ = 468043988924160. Its totient is φ = 207770887489536.

The previous prime is 331223043013403. The next prime is 331223043013441. The reversal of 331223043013431 is 134310340322133.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-331223043013431 is a prime.

It is a super-2 number, since 2×3312230430134312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331223043013392 and 331223043013401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331223043013441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19081621 + ... + 32039886.

It is an arithmetic number, because the mean of its divisors is an integer number (14626374653880).

Almost surely, 2331223043013431 is an apocalyptic number.

331223043013431 is a deficient number, since it is larger than the sum of its proper divisors (136820945910729).

331223043013431 is a wasteful number, since it uses less digits than its factorization.

331223043013431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51122303.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 331223043013431 its reverse (134310340322133), we get a palindrome (465533383335564).

The spelling of 331223043013431 in words is "three hundred thirty-one trillion, two hundred twenty-three billion, forty-three million, thirteen thousand, four hundred thirty-one".

Divisors: 1 3 19 57 197 577 591 1731 3743 10963 11229 32889 113669 341007 2159711 6479133 51121507 153364521 971308633 2913925899 10070936879 29497109539 30212810637 88491328617 191347800701 560445081241 574043402103 1681335243723 5810930579183 17432791737549 110407681004477 331223043013431