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13401001120 = 2551313946351
BaseRepresentation
bin11000111101100001…
…10000110010100000
31021120221100101120211
430132300300302200
5204421124013440
610053433543504
7653042426053
oct143660606240
937527311524
1013401001120
115757574541
12271bb74b94
1313574a3b80
14911b10a9a
15536761eea
hex31ec30ca0

13401001120 has 96 divisors (see below), whose sum is σ = 34341269760. Its totient is φ = 4912358400.

The previous prime is 13401001099. The next prime is 13401001157. The reversal of 13401001120 is 2110010431.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 13401001120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265945 + ... + 312295.

It is an arithmetic number, because the mean of its divisors is an integer number (357721560).

Almost surely, 213401001120 is an apocalyptic number.

13401001120 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 13401001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17170634880).

13401001120 is an abundant number, since it is smaller than the sum of its proper divisors (20940268640).

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

13401001120 is a wasteful number, since it uses less digits than its factorization.

13401001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46518 (or 46510 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13401001120 its reverse (2110010431), we get a palindrome (15511011551).

The spelling of 13401001120 in words is "thirteen billion, four hundred one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 139 160 208 260 278 416 520 556 695 1040 1112 1390 1807 2080 2224 2780 3614 4448 5560 7228 9035 11120 14456 18070 22240 28912 36140 46351 57824 72280 92702 144560 185404 231755 289120 370808 463510 602563 741616 927020 1205126 1483232 1854040 2410252 3012815 3708080 4820504 6025630 6442789 7416160 9641008 12051260 12885578 19282016 24102520 25771156 32213945 48205040 51542312 64427890 83756257 96410080 103084624 128855780 167512514 206169248 257711560 335025028 418781285 515423120 670050056 837562570 1030846240 1340100112 1675125140 2680200224 3350250280 6700500560 13401001120