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13220113120 = 255732933863
BaseRepresentation
bin11000100111111101…
…01110101011100000
31021010022222022220021
430103332232223200
5204033322104440
610023452523224
7645415051564
oct142376565340
937108868807
1013220113120
115674455725
12268b480514
131328b7ba56
148d5aa56a4
1552593084a
hex313faeae0

13220113120 has 96 divisors (see below), whose sum is σ = 31776639552. Its totient is φ = 5196460032.

The previous prime is 13220113117. The next prime is 13220113157. The reversal of 13220113120 is 2131102231.

It is a super-2 number, since 2×132201131202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13220113094 and 13220113103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3420309 + ... + 3424171.

It is an arithmetic number, because the mean of its divisors is an integer number (331006662).

Almost surely, 213220113120 is an apocalyptic number.

13220113120 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 13220113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15888319776).

13220113120 is an abundant number, since it is smaller than the sum of its proper divisors (18556526432).

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

13220113120 is a wasteful number, since it uses less digits than its factorization.

13220113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4236 counting only the distinct ones).

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

Adding to 13220113120 its reverse (2131102231), we get a palindrome (15351215351).

The spelling of 13220113120 in words is "thirteen billion, two hundred twenty million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 293 365 584 586 730 1168 1172 1460 1465 2336 2344 2920 2930 3863 4688 5840 5860 7726 9376 11680 11720 15452 19315 21389 23440 30904 38630 42778 46880 61808 77260 85556 106945 123616 154520 171112 213890 281999 309040 342224 427780 563998 618080 684448 855560 1127996 1131859 1409995 1711120 2255992 2263718 2819990 3422240 4511984 4527436 5639980 5659295 9023968 9054872 11279960 11318590 18109744 22559920 22637180 36219488 45119840 45274360 82625707 90548720 165251414 181097440 330502828 413128535 661005656 826257070 1322011312 1652514140 2644022624 3305028280 6610056560 13220113120