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13111320 = 2335372953
BaseRepresentation
bin110010000001…
…000000011000
3220200010100110
4302001000120
511324030240
61145004320
7216305265
oct62010030
926603313
1013111320
117445802
1244836a0
132940aa1
141a5426c
15123ec80
hexc81018

13111320 has 64 divisors (see below), whose sum is σ = 40410720. Its totient is φ = 3400704.

The previous prime is 13111309. The next prime is 13111327. The reversal of 13111320 is 2311131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13111296 and 13111305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2964 + ... + 5916.

Almost surely, 213111320 is an apocalyptic number.

13111320 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 13111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20205360).

13111320 is an abundant number, since it is smaller than the sum of its proper divisors (27299400).

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

13111320 is a wasteful number, since it uses less digits than its factorization.

13111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 13111320 is about 3620.9556749565. The cubic root of 13111320 is about 235.8027174425.

Adding to 13111320 its reverse (2311131), we get a palindrome (15422451).

It can be divided in two parts, 13111 and 320, that added together give a palindrome (13431).

The spelling of 13111320 in words is "thirteen million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 2953 4440 5906 8859 11812 14765 17718 23624 29530 35436 44295 59060 70872 88590 109261 118120 177180 218522 327783 354360 437044 546305 655566 874088 1092610 1311132 1638915 2185220 2622264 3277830 4370440 6555660 13111320