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13141152420 = 223511101197137
BaseRepresentation
bin11000011110100011…
…00001001010100100
31020220211101201011220
430033101201022210
5203403113334140
610011552300340
7643435644504
oct141721411244
936824351156
1013141152420
115633924350
122668b416b0
1313156c3746
148c93cda04
1551da34bd0
hex30f4612a4

13141152420 has 96 divisors (see below), whose sum is σ = 40537881216. Its totient is φ = 3154176000.

The previous prime is 13141152359. The next prime is 13141152517. The reversal of 13141152420 is 2425114131.

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, 31909 + ... + 165228.

It is an arithmetic number, because the mean of its divisors is an integer number (422269596).

Almost surely, 213141152420 is an apocalyptic number.

13141152420 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 13141152420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20268940608).

13141152420 is an abundant number, since it is smaller than the sum of its proper divisors (27396728796).

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

13141152420 is a wasteful number, since it uses less digits than its factorization.

13141152420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197261 (or 197259 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 13141152420 its reverse (2425114131), we get a palindrome (15566266551).

It can be divided in two parts, 13141 and 152420, that added together give a palindrome (165561).

The spelling of 13141152420 in words is "thirteen billion, one hundred forty-one million, one hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 197137 394274 591411 788548 985685 1182822 1971370 2168507 2365644 2957055 3942740 4337014 5914110 6505521 8674028 10842535 11828220 13011042 19910837 21685070 26022084 32527605 39821674 43370140 59732511 65055210 79643348 99554185 119465022 130110420 199108370 219019207 238930044 298662555 398216740 438038414 597325110 657057621 876076828 1095096035 1194650220 1314115242 2190192070 2628230484 3285288105 4380384140 6570576210 13141152420