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13101330 = 2351129372
BaseRepresentation
bin110001111110…
…100100010010
3220122121122110
4301332210102
511323220310
61144450150
7216234204
oct61764422
926577573
1013101330
117439250
124479956
132939388
141a50774
15123bd20
hexc7e912

13101330 has 96 divisors (see below), whose sum is σ = 36469440. Its totient is φ = 2983680.

The previous prime is 13101307. The next prime is 13101331. The reversal of 13101330 is 3310131.

13101330 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13101331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354072 + ... + 354108.

It is an arithmetic number, because the mean of its divisors is an integer number (379890).

Almost surely, 213101330 is an apocalyptic number.

13101330 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 13101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234720).

13101330 is an abundant number, since it is smaller than the sum of its proper divisors (23368110).

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

13101330 is a wasteful number, since it uses less digits than its factorization.

13101330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 13101330 is about 3619.5759420131. The cubic root of 13101330 is about 235.7428132861.

Adding to 13101330 its reverse (3310131), we get a palindrome (16411461).

It can be divided in two parts, 13101 and 330, that added together give a palindrome (13431).

The spelling of 13101330 in words is "thirteen million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 37 55 58 66 74 87 110 111 145 165 174 185 222 290 319 330 370 407 435 555 638 814 870 957 1073 1110 1221 1369 1595 1914 2035 2146 2442 2738 3190 3219 4070 4107 4785 5365 6105 6438 6845 8214 9570 10730 11803 12210 13690 15059 16095 20535 23606 30118 32190 35409 39701 41070 45177 59015 70818 75295 79402 90354 118030 119103 150590 177045 198505 225885 238206 354090 397010 436711 451770 595515 873422 1191030 1310133 2183555 2620266 4367110 6550665 13101330