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31311330101223 = 3713493591173281
BaseRepresentation
bin1110001111010001111001…
…01101010100011111100111
311002212100000102121222200220
413013220330231110133213
513101001101001214343
6150332120530135423
76411111643342644
oct707507455243747
9132770012558626
1031311330101223
119a82073614a67
123618419121573
13146185196aba3
147a36955b2dcb
1539472d746183
hex1c7a3cb547e7

31311330101223 has 32 divisors (see below), whose sum is σ = 42576057216000. Its totient is φ = 20464068172800.

The previous prime is 31311330101209. The next prime is 31311330101237. The reversal of 31311330101223 is 32210103311313.

It is an interprime number because it is at equal distance from previous prime (31311330101209) and next prime (31311330101237).

It is not a de Polignac number, because 31311330101223 - 212 = 31311330097127 is a prime.

It is a super-3 number, since 3×313113301012233 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31311330101193 and 31311330101202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311330101123) 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, 26100343 + ... + 27273623.

It is an arithmetic number, because the mean of its divisors is an integer number (1330501788000).

Almost surely, 231311330101223 is an apocalyptic number.

31311330101223 is a deficient number, since it is larger than the sum of its proper divisors (11264727114777).

31311330101223 is a wasteful number, since it uses less digits than its factorization.

31311330101223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174063.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 31311330101223 its reverse (32210103311313), we get a palindrome (63521433412536).

The spelling of 31311330101223 in words is "thirty-one trillion, three hundred eleven billion, three hundred thirty million, one hundred one thousand, two hundred twenty-three".

Divisors: 1 3 71 213 349 359 1047 1077 24779 25489 74337 76467 125291 375873 1173281 3519843 8895661 26686983 83302951 249908853 409475069 421207879 1228425207 1263623637 29072729899 29905759409 87218189697 89717278227 147001549771 441004649313 10437110033741 31311330101223