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13041424120 = 23523291672927
BaseRepresentation
bin11000010010101010…
…00101011011111000
31020122212201222200011
430021111011123320
5203202101032440
65554030551304
7641115163444
oct141125053370
936585658604
1013041424120
1155925a8a6a
12263b668534
1312cab4680a
148ba06d824
15514dd59ea
hex3095456f8

13041424120 has 128 divisors (see below), whose sum is σ = 31875379200. Its totient is φ = 4787216896.

The previous prime is 13041424103. The next prime is 13041424139. The reversal of 13041424120 is 2142414031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13041424091 and 13041424100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4454097 + ... + 4457023.

It is an arithmetic number, because the mean of its divisors is an integer number (249026400).

Almost surely, 213041424120 is an apocalyptic number.

13041424120 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 13041424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937689600).

13041424120 is an abundant number, since it is smaller than the sum of its proper divisors (18833955080).

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

13041424120 is a wasteful number, since it uses less digits than its factorization.

13041424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13041424120 its reverse (2142414031), we get a palindrome (15183838151).

The spelling of 13041424120 in words is "thirteen billion, forty-one million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 167 184 230 232 290 334 460 580 667 668 835 920 1160 1334 1336 1670 2668 2927 3335 3340 3841 4843 5336 5854 6670 6680 7682 9686 11708 13340 14635 15364 19205 19372 23416 24215 26680 29270 30728 38410 38744 48430 58540 67321 76820 84883 96860 111389 117080 134642 153640 169766 193720 222778 269284 336605 339532 424415 445556 488809 538568 556945 673210 679064 848830 891112 977618 1113890 1346420 1697660 1952309 1955236 2227780 2444045 2692840 3395320 3904618 3910472 4455560 4888090 7809236 9761545 9776180 11242607 14175461 15618472 19523090 19552360 22485214 28350922 39046180 44970428 56213035 56701844 70877305 78092360 89940856 112426070 113403688 141754610 224852140 283509220 326035603 449704280 567018440 652071206 1304142412 1630178015 2608284824 3260356030 6520712060 13041424120