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31313011431 = 3132333445913
BaseRepresentation
bin11101001010011001…
…101010001011100111
32222211020221210110010
4131022121222023213
51003112112331211
622215054301303
72155652130342
oct351231521347
988736853403
1031313011431
1112309418a49
12609a7b7833
132c50407540
141730995459
15c340394a6
hex74a66a2e7

31313011431 has 16 divisors (see below), whose sum is σ = 45155257056. Its totient is φ = 19186838016.

The previous prime is 31313011409. The next prime is 31313011439. The reversal of 31313011431 is 13411031313.

It is not a de Polignac number, because 31313011431 - 214 = 31312995047 is a prime.

It is a super-2 number, since 2×313130114312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31313011398 and 31313011407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313011439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713870 + ... + 1732043.

It is an arithmetic number, because the mean of its divisors is an integer number (2822203566).

Almost surely, 231313011431 is an apocalyptic number.

31313011431 is a deficient number, since it is larger than the sum of its proper divisors (13842245625).

31313011431 is a wasteful number, since it uses less digits than its factorization.

31313011431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446162.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 31313011431 its reverse (13411031313), we get a palindrome (44724042744).

The spelling of 31313011431 in words is "thirty-one billion, three hundred thirteen million, eleven thousand, four hundred thirty-one".

Divisors: 1 3 13 39 233 699 3029 9087 3445913 10337739 44796869 134390607 802897729 2408693187 10437670477 31313011431