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13103114020 = 22519474671571
BaseRepresentation
bin11000011010000000…
…11010011100100100
31020211011211011022021
430031000122130210
5203313344122040
610004113112524
7642464426413
oct141500323444
936734734267
1013103114020
115614403557
122658258744
13130a865a09
148c432b47a
1551a51e24a
hex30d01a724

13103114020 has 96 divisors (see below), whose sum is σ = 29663262720. Its totient is φ = 4846250880.

The previous prime is 13103113999. The next prime is 13103114033. The reversal of 13103114020 is 2041130131.

It is a super-2 number, since 2×131031140202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13103113985 and 13103114003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8339835 + ... + 8341405.

It is an arithmetic number, because the mean of its divisors is an integer number (308992320).

Almost surely, 213103114020 is an apocalyptic number.

13103114020 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 13103114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831631360).

13103114020 is an abundant number, since it is smaller than the sum of its proper divisors (16560148700).

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

13103114020 is a wasteful number, since it uses less digits than its factorization.

13103114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13103114020 its reverse (2041130131), we get a palindrome (15144244151).

The spelling of 13103114020 in words is "thirteen billion, one hundred three million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 467 470 893 934 940 1571 1786 1868 2335 3142 3572 4465 4670 6284 7855 8873 8930 9340 15710 17746 17860 21949 29849 31420 35492 43898 44365 59698 73837 87796 88730 109745 119396 147674 149245 177460 219490 295348 298490 369185 417031 438980 596980 733657 738370 834062 1402903 1467314 1476740 1668124 2085155 2805806 2934628 3668285 4170310 5611612 7014515 7336570 8340620 13939483 14029030 14673140 27878966 28058060 34481879 55757932 68963758 69697415 137927516 139394830 172409395 278789660 344818790 655155701 689637580 1310311402 2620622804 3275778505 6551557010 13103114020