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31144333112331 = 3172299072940127
BaseRepresentation
bin1110001010011010110101…
…11010010111010000001011
311002021100222010022222101020
413011031122322113100023
513040232043234043311
6150123301545123523
76363050415351135
oct705153272272013
9132240863288336
1031144333112331
119a1826812455a
1235abb921895a3
13144bb89c10a6a
147995726c8055
15390207886c06
hex1c535ae9740b

31144333112331 has 32 divisors (see below), whose sum is σ = 44209175869440. Its totient is φ = 19434750322176.

The previous prime is 31144333112323. The next prime is 31144333112339. The reversal of 31144333112331 is 13321133344113.

It is an interprime number because it is at equal distance from previous prime (31144333112323) and next prime (31144333112339).

It is not a de Polignac number, because 31144333112331 - 23 = 31144333112323 is a prime.

It is a super-2 number, since 2×311443331123312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31144333112292 and 31144333112301.

It is not an unprimeable number, because it can be changed into a prime (31144333112339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9122790 + ... + 12062916.

It is an arithmetic number, because the mean of its divisors is an integer number (1381536745920).

Almost surely, 231144333112331 is an apocalyptic number.

31144333112331 is a deficient number, since it is larger than the sum of its proper divisors (13064842757109).

31144333112331 is a wasteful number, since it uses less digits than its factorization.

31144333112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941283.

The product of its digits is 23328, while the sum is 33.

Adding to 31144333112331 its reverse (13321133344113), we get a palindrome (44465466456444).

The spelling of 31144333112331 in words is "thirty-one trillion, one hundred forty-four billion, three hundred thirty-three million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 17 51 229 687 907 2721 3893 11679 15419 46257 207703 623109 2940127 3530951 8820381 10592853 49982159 149946477 673289083 2019867249 2666695189 8000085567 11445914411 34337743233 45333818213 136001454639 610673198281 1832019594843 10381444370777 31144333112331