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13112130330 = 23251322393607
BaseRepresentation
bin11000011011000101…
…10011101100011010
31020211210210020100200
430031202303230122
5203323201132310
610005034243030
7642634161135
oct141542635432
936753706320
1013112130330
115619501652
12265b286476
13130c6a1900
148c55d721c
1551b2009c0
hex30d8b3b1a

13112130330 has 144 divisors (see below), whose sum is σ = 37080426240. Its totient is φ = 3213205632.

The previous prime is 13112130287. The next prime is 13112130331. The reversal of 13112130330 is 3303121131.

It is a happy number.

13112130330 is a `hidden beast` number, since 1 + 311 + 21 + 3 + 0 + 330 = 666.

13112130330 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 (18).

It is not an unprimeable number, because it can be changed into a prime (13112130331) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3633387 + ... + 3636993.

It is an arithmetic number, because the mean of its divisors is an integer number (257502960).

Almost surely, 213112130330 is an apocalyptic number.

13112130330 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 13112130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18540213120).

13112130330 is an abundant number, since it is smaller than the sum of its proper divisors (23968295910).

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

13112130330 is a wasteful number, since it uses less digits than its factorization.

13112130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3869 counting only the distinct ones).

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

Adding to 13112130330 its reverse (3303121131), we get a palindrome (16415251461).

The spelling of 13112130330 in words is "thirteen billion, one hundred twelve million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 239 338 390 478 507 585 717 845 1014 1170 1195 1434 1521 1690 2151 2390 2535 3042 3107 3585 3607 4302 5070 6214 7170 7214 7605 9321 10755 10821 15210 15535 18035 18642 21510 21642 27963 31070 32463 36070 40391 46605 46891 54105 55926 64926 80782 93210 93782 108210 121173 139815 140673 162315 201955 234455 242346 279630 281346 324630 363519 403910 422019 468910 605865 609583 703365 727038 844038 862073 1211730 1219166 1406730 1724146 1817595 1828749 2110095 2586219 3047915 3635190 3657498 4220190 4310365 5172438 5486247 6095830 7758657 8620730 9143745 10972494 11206949 12931095 15517314 18287490 22413898 25862190 27431235 33620847 38793285 54862470 56034745 67241694 77586570 100862541 112069490 145690337 168104235 201725082 291380674 336208470 437071011 504312705 728451685 874142022 1008625410 1311213033 1456903370 2185355055 2622426066 4370710110 6556065165 13112130330