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10031322312 = 2333115637499
BaseRepresentation
bin10010101011110100…
…11101010011001000
3221220002200222021000
421111322131103020
5131021004303222
64335222015000
7503404555434
oct112572352310
927802628230
1010031322312
114288468a20
121b3b577460
13c3b33629b
146b23979c4
153da9e89ac
hex255e9d4c8

10031322312 has 128 divisors (see below), whose sum is σ = 30456000000. Its totient is φ = 3033990720.

The previous prime is 10031322299. The next prime is 10031322317. The reversal of 10031322312 is 21322313001.

10031322312 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 322 + 312 = 666.

10031322312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10031322317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333939 + ... + 1341437.

It is an arithmetic number, because the mean of its divisors is an integer number (237937500).

Almost surely, 210031322312 is an apocalyptic number.

10031322312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228000000).

10031322312 is an abundant number, since it is smaller than the sum of its proper divisors (20424677688).

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

10031322312 is a wasteful number, since it uses less digits than its factorization.

10031322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8088 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10031322312 its reverse (21322313001), we get a palindrome (31353635313).

The spelling of 10031322312 in words is "ten billion, thirty-one million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 563 594 792 1126 1188 1689 2252 2376 3378 4504 5067 6193 6756 7499 10134 12386 13512 14998 15201 18579 20268 22497 24772 29996 30402 37158 40536 44994 49544 55737 59992 60804 67491 74316 82489 89988 111474 121608 134982 148632 164978 167211 179976 202473 222948 247467 269964 329956 334422 404946 445896 494934 539928 659912 668844 742401 809892 989868 1337688 1484802 1619784 1979736 2227203 2969604 4221937 4454406 5939208 8443874 8908812 12665811 16887748 17817624 25331622 33775496 37997433 46441307 50663244 75994866 92882614 101326488 113992299 139323921 151989732 185765228 227984598 278647842 303979464 371530456 417971763 455969196 557295684 835943526 911938392 1114591368 1253915289 1671887052 2507830578 3343774104 5015661156 10031322312