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13111312120 = 2352115572789
BaseRepresentation
bin11000011010111111…
…01011111011111000
31020211202020122222121
430031133223323320
5203322443441440
610005004531024
7642624212524
oct141537537370
936752218877
1013111312120
115618aa2945
12265ab50a74
13130c47636a
148c5462d84
1551b0dd34a
hex30d7ebef8

13111312120 has 64 divisors (see below), whose sum is σ = 29704125600. Its totient is φ = 5208430080.

The previous prime is 13111312079. The next prime is 13111312129. The reversal of 13111312120 is 2121311131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13111312094 and 13111312103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111312129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4699686 + ... + 4702474.

Almost surely, 213111312120 is an apocalyptic number.

13111312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111312120 is an abundant number, since it is smaller than the sum of its proper divisors (16592813480).

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

13111312120 is a wasteful number, since it uses less digits than its factorization.

13111312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13111312120 its reverse (2121311131), we get a palindrome (15232623251).

The spelling of 13111312120 in words is "thirteen billion, one hundred eleven million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 211 422 557 844 1055 1114 1688 2110 2228 2785 2789 4220 4456 5570 5578 8440 11140 11156 13945 22280 22312 27890 55780 111560 117527 235054 470108 587635 588479 940216 1175270 1176958 1553473 2350540 2353916 2942395 3106946 4701080 4707832 5884790 6213892 7767365 11769580 12427784 15534730 23539160 31069460 62138920 327782803 655565606 1311131212 1638914015 2622262424 3277828030 6555656060 13111312120