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13114035102 = 2376115732603
BaseRepresentation
bin11000011011010100…
…00100101110011110
31020211221101000012210
430031222010232132
5203324143110402
610005143141250
7642656313330
oct141552045636
936757330183
1013114035102
11561a592743
12265ba44826
13130cbba8ac
148c5971450
1551b47a06c
hex30da84b9e

13114035102 has 64 divisors (see below), whose sum is σ = 30661323264. Its totient is φ = 3661856640.

The previous prime is 13114035061. The next prime is 13114035119. The reversal of 13114035102 is 20153041131.

13114035102 is digitally balanced in base 2 and base 5, 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385933 + ... + 418535.

It is an arithmetic number, because the mean of its divisors is an integer number (479083176).

Almost surely, 213114035102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114035102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330661632).

13114035102 is an abundant number, since it is smaller than the sum of its proper divisors (17547288162).

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

13114035102 is a wasteful number, since it uses less digits than its factorization.

13114035102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32833.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 13114035102 its reverse (20153041131), we get a palindrome (33267076233).

The spelling of 13114035102 in words is "thirteen billion, one hundred fourteen million, thirty-five thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 61 122 157 183 314 366 427 471 854 942 1099 1281 2198 2562 3297 6594 9577 19154 28731 32603 57462 65206 67039 97809 134078 195618 201117 228221 402234 456442 684663 1369326 1988783 3977566 5118671 5966349 10237342 11932698 13921481 15356013 27842962 30712026 35830697 41764443 71661394 83528886 107492091 214984182 312238931 624477862 936716793 1873433586 2185672517 4371345034 6557017551 13114035102