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13101336 = 23321961157
BaseRepresentation
bin110001111110…
…100100011000
3220122121122200
4301332210120
511323220321
61144450200
7216234213
oct61764430
926577580
1013101336
117439256
124479960
132939391
141a5077a
15123bd26
hexc7e918

13101336 has 96 divisors (see below), whose sum is σ = 38204400. Its totient is φ = 4043520.

The previous prime is 13101331. The next prime is 13101343. The reversal of 13101336 is 63310131.

13101336 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 a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 83370 + ... + 83526.

Almost surely, 213101336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19102200).

13101336 is an abundant number, since it is smaller than the sum of its proper divisors (25103064).

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

13101336 is a wasteful number, since it uses less digits than its factorization.

13101336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13101336 is about 3619.5767708394. The cubic root of 13101336 is about 235.7428492737.

Adding to 13101336 its reverse (63310131), we get a palindrome (76411467).

The spelling of 13101336 in words is "thirteen million, one hundred one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 61 72 76 114 122 152 157 171 183 228 244 314 342 366 456 471 488 549 628 684 732 942 1098 1159 1256 1368 1413 1464 1884 2196 2318 2826 2983 3477 3768 4392 4636 5652 5966 6954 8949 9272 9577 10431 11304 11932 13908 17898 19154 20862 23864 26847 27816 28731 35796 38308 41724 53694 57462 71592 76616 83448 86193 107388 114924 172386 181963 214776 229848 344772 363926 545889 689544 727852 1091778 1455704 1637667 2183556 3275334 4367112 6550668 13101336