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31221352121112 = 23339713710876913
BaseRepresentation
bin1110001100101010010011…
…00110100100001100011000
311002112201202201012000012000
413012111021212210030120
513043012312120333422
6150222520253521000
76401445132210216
oct706251146441430
9132481681160160
1031221352121112
119a479a037382a
123602aa77a3160
13145621258853a
1479d19b5a7cb6
153922142b8cac
hex1c65499a4318

31221352121112 has 128 divisors (see below), whose sum is σ = 88259630961600. Its totient is φ = 10224645341184.

The previous prime is 31221352121051. The next prime is 31221352121117. The reversal of 31221352121112 is 21112125312213.

31221352121112 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 1 + 3 + 521 + 21 + 112 = 666.

It is a super-2 number, since 2×312213521211122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31221352121117) 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 31 ways as a sum of consecutive naturals, for example, 2568033 + ... + 8308880.

Almost surely, 231221352121112 is an apocalyptic number.

It is an amenable number.

31221352121112 is an abundant number, since it is smaller than the sum of its proper divisors (57038278840488).

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

31221352121112 is a wasteful number, since it uses less digits than its factorization.

31221352121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877162 (or 10877152 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 31221352121112 its reverse (21112125312213), we get a palindrome (52333477433325).

The spelling of 31221352121112 in words is "thirty-one trillion, two hundred twenty-one billion, three hundred fifty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 137 194 216 274 291 388 411 548 582 776 822 873 1096 1164 1233 1644 1746 2328 2466 2619 3288 3492 3699 4932 5238 6984 7398 9864 10476 13289 14796 20952 26578 29592 39867 53156 79734 106312 119601 159468 239202 318936 358803 478404 717606 956808 1435212 2870424 10876913 21753826 32630739 43507652 65261478 87015304 97892217 130522956 195784434 261045912 293676651 391568868 587353302 783137736 1055060561 1174706604 1490137081 2110121122 2349413208 2980274162 3165181683 4220242244 4470411243 5960548324 6330363366 8440484488 8940822486 9495545049 11921096648 12660726732 13411233729 17881644972 18991090098 25321453464 26822467458 28486635147 35763289944 37982180196 40233701187 53644934916 56973270294 75964360392 80467402374 107289869832 113946540588 144543296857 160934804748 227893081176 289086593714 321869609496 433629890571 578173187428 867259781142 1156346374856 1300889671713 1734519562284 2601779343426 3469039124568 3902669015139 5203558686852 7805338030278 10407117373704 15610676060556 31221352121112