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11231334312 = 23311372295021
BaseRepresentation
bin10100111010111000…
…01000111110101000
31001222201201220020220
422131130020332220
5141000210144222
65054250250040
7545215523622
oct123534107650
931881656226
1011231334312
114843882780
122215426920
13109cb33063
147878cbc12
1545b037b5c
hex29d708fa8

11231334312 has 128 divisors (see below), whose sum is σ = 31602441600. Its totient is φ = 3296332800.

The previous prime is 11231334311. The next prime is 11231334319. The reversal of 11231334312 is 21343313211.

11231334312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112313343122 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11231334311) 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, 2234362 + ... + 2239382.

It is an arithmetic number, because the mean of its divisors is an integer number (246894075).

Almost surely, 211231334312 is an apocalyptic number.

11231334312 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 11231334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15801220800).

11231334312 is an abundant number, since it is smaller than the sum of its proper divisors (20371107288).

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

11231334312 is a wasteful number, since it uses less digits than its factorization.

11231334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5303 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 11231334312 its reverse (21343313211), we get a palindrome (32574647523).

It can be divided in two parts, 11231 and 334312, that added together give a palindrome (345543).

The spelling of 11231334312 in words is "eleven billion, two hundred thirty-one million, three hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 229 264 296 407 444 458 687 814 888 916 1221 1374 1628 1832 2442 2519 2748 3256 4884 5021 5038 5496 7557 8473 9768 10042 10076 15063 15114 16946 20084 20152 25419 30126 30228 33892 40168 50838 55231 60252 60456 67784 93203 101676 110462 120504 165693 185777 186406 203352 220924 279609 331386 371554 372812 441848 557331 559218 662772 743108 745624 1114662 1118436 1149809 1325544 1486216 2043547 2229324 2236872 2299618 3449427 4087094 4458648 4599236 6130641 6898854 8174188 9198472 12261282 12647899 13797708 16348376 24522564 25295798 27595416 37943697 42542933 49045128 50591596 75887394 85085866 101183192 127628799 151774788 170171732 255257598 303549576 340343464 467972263 510515196 935944526 1021030392 1403916789 1871889052 2807833578 3743778104 5615667156 11231334312