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31033122131112 = 2334121091705053
BaseRepresentation
bin1110000111001011101100…
…01110001000110010101000
311001212201220122020210001220
413003211312032020302220
513031421313231143422
6150000230335542040
76352032460535163
oct703456616106250
9131781818223056
1031033122131112
119985089458322
12359251598a920
13144154587632a
14794022756ada
1538c3992d4e5c
hex1c3976388ca8

31033122131112 has 96 divisors (see below), whose sum is σ = 79594222911840. Its totient is φ = 10082807641600.

The previous prime is 31033122131101. The next prime is 31033122131119. The reversal of 31033122131112 is 21113122133013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31033122131119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43662778 + ... + 44367830.

It is an arithmetic number, because the mean of its divisors is an integer number (829106488665).

Almost surely, 231033122131112 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 31033122131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39797111455920).

31033122131112 is an abundant number, since it is smaller than the sum of its proper divisors (48561100780728).

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

31033122131112 is a wasteful number, since it uses less digits than its factorization.

31033122131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706235 (or 706190 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 31033122131112 its reverse (21113122133013), we get a palindrome (52146244264125).

The spelling of 31033122131112 in words is "thirty-one trillion, thirty-three billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1091 1681 2182 3273 3362 4364 5043 6546 6724 8728 10086 13092 13448 20172 26184 40344 44731 89462 134193 178924 268386 357848 536772 705053 1073544 1410106 1833971 2115159 2820212 3667942 4230318 5501913 5640424 7335884 8460636 11003826 14671768 16921272 22007652 28907173 44015304 57814346 86721519 115628692 173443038 231257384 346886076 693772152 769212823 1185194093 1538425646 2307638469 2370388186 3076851292 3555582279 4615276938 4740776372 6153702584 7111164558 9230553876 9481552744 14222329116 18461107752 28444658232 31537725743 63075451486 94613177229 126150902972 189226354458 252301805944 378452708916 756905417832 1293046755463 2586093510926 3879140266389 5172187021852 7758280532778 10344374043704 15516561065556 31033122131112