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31321310111312 = 2413833595053637
BaseRepresentation
bin1110001111100100011111…
…00100000010011001010000
311002220021202221210000211012
413013302033210002121100
513101132020342030222
6150340451120310052
76411614156130164
oct707621744023120
9132807687700735
1031321310111312
119a86325016291
12361a343472328
1314627824796c0
147a3d60c10ca4
15394b149a61e2
hex1c7c8f902650

31321310111312 has 80 divisors (see below), whose sum is σ = 66324753694080. Its totient is φ = 14242035687936.

The previous prime is 31321310111309. The next prime is 31321310111369. The reversal of 31321310111312 is 21311101312313.

It is a super-2 number, since 2×313213101113122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3670958 + ... + 8724594.

It is an arithmetic number, because the mean of its divisors is an integer number (829059421176).

Almost surely, 231321310111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31321310111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33162376847040).

31321310111312 is an abundant number, since it is smaller than the sum of its proper divisors (35003443582768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31321310111312 is a wasteful number, since it uses less digits than its factorization.

31321310111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054100 (or 5054094 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 31321310111312 its reverse (21311101312313), we get a palindrome (52632411423625).

The spelling of 31321310111312 in words is "thirty-one trillion, three hundred twenty-one billion, three hundred ten million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 208 332 359 664 718 1079 1328 1436 2158 2872 4316 4667 5744 8632 9334 17264 18668 29797 37336 59594 74672 119188 238376 387361 476752 774722 1549444 3098888 5053637 6197776 10107274 20214548 40429096 65697281 80858192 131394562 262789124 419451871 525578248 838903742 1051156496 1677807484 1814255683 3355614968 3628511366 5452874323 6711229936 7257022732 10905748646 14514045464 21811497292 23585323879 29028090928 43622994584 47170647758 87245989168 94341295516 150583221689 188682591032 301166443378 377365182064 602332886756 1204665773512 1957581881957 2409331547024 3915163763914 7830327527828 15660655055656 31321310111312