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12011310 = 2325373607
BaseRepresentation
bin101101110100…
…011100101110
3211121020102100
4231310130232
511033330220
61105235530
7204044253
oct55643456
924536370
1012011310
116864303
124032ba6
1326471ac
14184942a
1510c3d90
hexb7472e

12011310 has 48 divisors (see below), whose sum is σ = 32082336. Its totient is φ = 3115584.

The previous prime is 12011309. The next prime is 12011317. The reversal of 12011310 is 1311021.

It is a super-2 number, since 2×120113102 = 288543135832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12011292 and 12011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1527 + ... + 5133.

It is an arithmetic number, because the mean of its divisors is an integer number (668382).

Almost surely, 212011310 is an apocalyptic number.

12011310 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 12011310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16041168).

12011310 is an abundant number, since it is smaller than the sum of its proper divisors (20071026).

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

12011310 is a wasteful number, since it uses less digits than its factorization.

12011310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 12011310 is about 3465.7336885572. The cubic root of 12011310 is about 229.0147521372.

Adding to 12011310 its reverse (1311021), we get a palindrome (13322331).

It can be divided in two parts, 12011 and 310, that added together give a palindrome (12321).

The spelling of 12011310 in words is "twelve million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3607 7214 10821 18035 21642 32463 36070 54105 64926 108210 133459 162315 266918 324630 400377 667295 800754 1201131 1334590 2001885 2402262 4003770 6005655 12011310