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10113121320 = 23353125110831
BaseRepresentation
bin10010110101100100…
…11111110000101000
3222002210121210101220
421122302133300220
5131202424340240
64351303142040
7505420053501
oct113262376050
928083553356
1010113121320
11431a658805
121b62a44920
13c52276473
146bd1abba8
153e2ca55d0
hex25ac9fc28

10113121320 has 128 divisors (see below), whose sum is σ = 31445729280. Its totient is φ = 2599200000.

The previous prime is 10113121283. The next prime is 10113121339. The reversal of 10113121320 is 2312131101.

It is a happy number.

10113121320 is digitally balanced in base 2, because in such base 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10113121320.

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, 928305 + ... + 939135.

It is an arithmetic number, because the mean of its divisors is an integer number (245669760).

Almost surely, 210113121320 is an apocalyptic number.

10113121320 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 10113121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15722864640).

10113121320 is an abundant number, since it is smaller than the sum of its proper divisors (21332607960).

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

10113121320 is a wasteful number, since it uses less digits than its factorization.

10113121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11127 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10113121320 its reverse (2312131101), we get a palindrome (12425252421).

The spelling of 10113121320 in words is "ten billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 251 310 372 465 502 620 744 753 930 1004 1240 1255 1506 1860 2008 2510 3012 3720 3765 5020 6024 7530 7781 10040 10831 15060 15562 21662 23343 30120 31124 32493 38905 43324 46686 54155 62248 64986 77810 86648 93372 108310 116715 129972 155620 162465 186744 216620 233430 259944 311240 324930 335761 433240 466860 649860 671522 933720 1007283 1299720 1343044 1678805 2014566 2686088 2718581 3357610 4029132 5036415 5437162 6715220 8058264 8155743 10072830 10874324 13430440 13592905 16311486 20145660 21748648 27185810 32622972 40291320 40778715 54371620 65245944 81557430 84276011 108743240 163114860 168552022 252828033 326229720 337104044 421380055 505656066 674208088 842760110 1011312132 1264140165 1685520220 2022624264 2528280330 3371040440 5056560660 10113121320