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10331321112 = 2332724336763
BaseRepresentation
bin10011001111100101…
…10111001100011000
3222200000012111020200
421213302313030120
5132124304233422
64425100022200
7514006531500
oct114762671430
928600174220
1010331321112
114421841512
122003b31960
13c88533678
1470016aa00
154070072ac
hex267cb7318

10331321112 has 144 divisors (see below), whose sum is σ = 32628927240. Its totient is φ = 2944553472.

The previous prime is 10331321071. The next prime is 10331321123. The reversal of 10331321112 is 21112313301.

10331321112 is a `hidden beast` number, since 1 + 0 + 331 + 321 + 1 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1524243 + ... + 1531005.

Almost surely, 210331321112 is an apocalyptic number.

10331321112 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 10331321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314463620).

10331321112 is an abundant number, since it is smaller than the sum of its proper divisors (22297606128).

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

10331321112 is a wasteful number, since it uses less digits than its factorization.

10331321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10331321112 its reverse (21112313301), we get a palindrome (31443634413).

The spelling of 10331321112 in words is "ten billion, three hundred thirty-one million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 433 441 504 588 866 882 1176 1299 1732 1764 2598 3031 3464 3528 3897 5196 6062 6763 7794 9093 10392 12124 13526 15588 18186 20289 21217 24248 27052 27279 31176 36372 40578 42434 47341 54104 54558 60867 63651 72744 81156 84868 94682 109116 121734 127302 142023 162312 169736 189364 190953 218232 243468 254604 284046 331387 378728 381906 426069 486936 509208 568092 662774 763812 852138 994161 1136184 1325548 1527624 1704276 1988322 2651096 2928379 2982483 3408552 3976644 5856758 5964966 7953288 8785137 11713516 11929932 17570274 20498653 23427032 23859864 26355411 35140548 40997306 52710822 61495959 70281096 81994612 105421644 122991918 143490571 163989224 184487877 210843288 245983836 286981142 368975754 430471713 491967672 573962284 737951508 860943426 1147924568 1291415139 1475903016 1721886852 2582830278 3443773704 5165660556 10331321112