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12031213110 = 23571393491181
BaseRepresentation
bin10110011010001110…
…11011111000110110
31011001110211221200120
423031013123320312
5144114442304420
65305502352410
7604100424030
oct131507337066
934043757616
1012031213110
115114340534
1223b928b706
131199772a17
14821c24c50
154a6388d40
hex2cd1dbe36

12031213110 has 128 divisors (see below), whose sum is σ = 33360768000. Its totient is φ = 2720079360.

The previous prime is 12031213097. The next prime is 12031213127. The reversal of 12031213110 is 1131213021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12031213110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10186720 + ... + 10187900.

It is an arithmetic number, because the mean of its divisors is an integer number (260631000).

Almost surely, 212031213110 is an apocalyptic number.

12031213110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031213110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680384000).

12031213110 is an abundant number, since it is smaller than the sum of its proper divisors (21329554890).

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

12031213110 is a wasteful number, since it uses less digits than its factorization.

12031213110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12031213110 its reverse (1131213021), we get a palindrome (13162426131).

The spelling of 12031213110 in words is "twelve billion, thirty-one million, two hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 139 210 278 349 417 695 698 834 973 1047 1181 1390 1745 1946 2085 2094 2362 2443 2919 3490 3543 4170 4865 4886 5235 5838 5905 7086 7329 8267 9730 10470 11810 12215 14595 14658 16534 17715 24430 24801 29190 35430 36645 41335 48511 49602 73290 82670 97022 124005 145533 164159 242555 248010 291066 328318 339577 412169 485110 492477 679154 727665 820795 824338 984954 1018731 1149113 1236507 1455330 1641590 1697885 2037462 2060845 2298226 2462385 2473014 2885183 3395770 3447339 4121690 4924770 5093655 5745565 5770366 6182535 6894678 8655549 10187310 11491130 12365070 14425915 17236695 17311098 28851830 34473390 43277745 57291491 86555490 114582982 171874473 286457455 343748946 401040437 572914910 802080874 859372365 1203121311 1718744730 2005202185 2406242622 4010404370 6015606555 12031213110