Search a number
-
+
13431231120 = 2435313674919
BaseRepresentation
bin11001000001001000…
…00101001010010000
31021200001020020100110
430200210011022100
5210001343343440
610100433521320
7653560403136
oct144044051220
937601206313
1013431231120
11577264180a
12272a113240
131360829748
14915b3d756
15539234080
hex320905290

13431231120 has 160 divisors (see below), whose sum is σ = 43105812480. Its totient is φ = 3455976960.

The previous prime is 13431231109. The next prime is 13431231127. The reversal of 13431231120 is 2113213431.

It is not an unprimeable number, because it can be changed into a prime (13431231127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2728021 + ... + 2732939.

It is an arithmetic number, because the mean of its divisors is an integer number (269411328).

Almost surely, 213431231120 is an apocalyptic number.

13431231120 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 13431231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21552906240).

13431231120 is an abundant number, since it is smaller than the sum of its proper divisors (29674581360).

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

13431231120 is a wasteful number, since it uses less digits than its factorization.

13431231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13431231120 its reverse (2113213431), we get a palindrome (15544444551).

The spelling of 13431231120 in words is "thirteen billion, four hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 367 372 465 496 620 734 744 930 1101 1240 1468 1488 1835 1860 2202 2480 2936 3670 3720 4404 4919 5505 5872 7340 7440 8808 9838 11010 11377 14680 14757 17616 19676 22020 22754 24595 29360 29514 34131 39352 44040 45508 49190 56885 59028 68262 73785 78704 88080 91016 98380 113770 118056 136524 147570 152489 170655 182032 196760 227540 236112 273048 295140 304978 341310 393520 455080 457467 546096 590280 609956 682620 762445 910160 914934 1180560 1219912 1365240 1524890 1805273 1829868 2287335 2439824 2730480 3049780 3610546 3659736 4574670 5415819 6099560 7221092 7319472 9026365 9149340 10831638 12199120 14442184 18052730 18298680 21663276 27079095 28884368 36105460 36597360 43326552 54158190 55963463 72210920 86653104 108316380 111926926 144421840 167890389 216632760 223853852 279817315 335780778 433265520 447707704 559634630 671561556 839451945 895415408 1119269260 1343123112 1678903890 2238538520 2686246224 3357807780 4477077040 6715615560 13431231120