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13011120 = 24325171063
BaseRepresentation
bin110001101000…
…100010110000
3220111000220100
4301220202300
511312323440
61142512400
7215410203
oct61504260
926430810
1013011120
1173874a1
124435700
1329072b5
141a2993a
151220230
hexc688b0

13011120 has 120 divisors (see below), whose sum is σ = 46309536. Its totient is φ = 3262464.

The previous prime is 13011113. The next prime is 13011121. The reversal of 13011120 is 2111031.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (13011121) 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, 11709 + ... + 12771.

Almost surely, 213011120 is an apocalyptic number.

13011120 is a gapful number since it is divisible by the number (10) 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 13011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

13011120 is an abundant number, since it is smaller than the sum of its proper divisors (33298416).

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

13011120 is a wasteful number, since it uses less digits than its factorization.

13011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1090 counting only the distinct ones).

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

The square root of 13011120 is about 3607.0930123855. The cubic root of 13011120 is about 235.2004928492.

Adding to 13011120 its reverse (2111031), we get a palindrome (15122151).

It can be divided in two parts, 13011 and 120, that added together give a palindrome (13131).

The spelling of 13011120 in words is "thirteen million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1063 1224 1360 1530 2040 2126 2448 3060 3189 4080 4252 5315 6120 6378 8504 9567 10630 12240 12756 15945 17008 18071 19134 21260 25512 31890 36142 38268 42520 47835 51024 54213 63780 72284 76536 85040 90355 95670 108426 127560 144568 153072 162639 180710 191340 216852 255120 271065 289136 325278 361420 382680 433704 542130 650556 722840 765360 813195 867408 1084260 1301112 1445680 1626390 2168520 2602224 3252780 4337040 6505560 13011120