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13110103332 = 22324328130139
BaseRepresentation
bin11000011010110110…
…00100110100100100
31020211122222020211200
430031123010310210
5203322141301312
610004523002500
7642611016414
oct141533046444
936748866750
1013110103332
115618347747
12265a669430
13130c1420c1
148c522a644
1551ae500dc
hex30d6c4d24

13110103332 has 72 divisors (see below), whose sum is σ = 34031917920. Its totient is φ = 4253074560.

The previous prime is 13110103327. The next prime is 13110103337. The reversal of 13110103332 is 23330101131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13110103327) and next prime (13110103337).

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 (13110103337) 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, 419919 + ... + 450057.

Almost surely, 213110103332 is an apocalyptic number.

13110103332 is a gapful number since it is divisible by the number (12) 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 13110103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015958960).

13110103332 is an abundant number, since it is smaller than the sum of its proper divisors (20921814588).

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

13110103332 is a wasteful number, since it uses less digits than its factorization.

13110103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30473 (or 30468 counting only the distinct ones).

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

Adding to 13110103332 its reverse (23330101131), we get a palindrome (36440204463).

The spelling of 13110103332 in words is "thirteen billion, one hundred ten million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 281 387 516 562 774 843 1124 1548 1686 2529 3372 5058 10116 12083 24166 30139 36249 48332 60278 72498 90417 108747 120556 144996 180834 217494 271251 361668 434988 542502 1085004 1295977 2591954 3887931 5183908 7775862 8469059 11663793 15551724 16938118 23327586 25407177 33876236 46655172 50814354 76221531 101628708 152443062 304886124 364169537 728339074 1092508611 1456678148 2185017222 3277525833 4370034444 6555051666 13110103332