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13110103300 = 2252759331583
BaseRepresentation
bin11000011010110110…
…00100110100000100
31020211122222020210111
430031123010310010
5203322141301200
610004523002404
7642611016340
oct141533046404
936748866714
1013110103300
115618347718
12265a669404
13130c142098
148c522a620
1551ae500ba
hex30d6c4d04

13110103300 has 72 divisors (see below), whose sum is σ = 32568915456. Its totient is φ = 4487170560.

The previous prime is 13110103291. The next prime is 13110103309. The reversal of 13110103300 is 330101131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13110103291) and next prime (13110103309).

It is not an unprimeable number, because it can be changed into a prime (13110103309) 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, 399309 + ... + 430891.

It is an arithmetic number, because the mean of its divisors is an integer number (452346048).

Almost surely, 213110103300 is an apocalyptic number.

13110103300 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 13110103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284457728).

13110103300 is an abundant number, since it is smaller than the sum of its proper divisors (19458812156).

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

13110103300 is a wasteful number, since it uses less digits than its factorization.

13110103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32197 (or 32190 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13110103300 its reverse (330101131), we get a palindrome (13440204431).

The spelling of 13110103300 in words is "thirteen billion, one hundred ten million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 593 700 1186 2372 2965 4151 5930 8302 11860 14825 16604 20755 29650 31583 41510 59300 63166 83020 103775 126332 157915 207550 221081 315830 415100 442162 631660 789575 884324 1105405 1579150 2210810 3158300 4421620 5527025 11054050 18728719 22108100 37457438 74914876 93643595 131101033 187287190 262202066 374574380 468217975 524404132 655505165 936435950 1311010330 1872871900 2622020660 3277525825 6555051650 13110103300