Search a number
-
+
13500320120 = 2357232972287
BaseRepresentation
bin11001001001010111…
…01000100101111000
31021211212020022122022
430210223220211320
5210122040220440
610111342414012
7655356553610
oct144453504570
937755208568
1013500320120
1157a8640361
122749291308
131371c39701
14920da5a40
1554032ecb5
hex324ae8978

13500320120 has 128 divisors (see below), whose sum is σ = 37474099200. Its totient is φ = 4274704896.

The previous prime is 13500320117. The next prime is 13500320123. The reversal of 13500320120 is 2102300531.

It is an interprime number because it is at equal distance from previous prime (13500320117) and next prime (13500320123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500320123) 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, 150617 + ... + 222903.

It is an arithmetic number, because the mean of its divisors is an integer number (292766400).

Almost surely, 213500320120 is an apocalyptic number.

13500320120 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 13500320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18737049600).

13500320120 is an abundant number, since it is smaller than the sum of its proper divisors (23973779080).

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

13500320120 is a wasteful number, since it uses less digits than its factorization.

13500320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72357 (or 72353 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 13500320120 its reverse (2102300531), we get a palindrome (15602620651).

The spelling of 13500320120 in words is "thirteen billion, five hundred million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 29 35 40 46 56 58 70 92 115 116 140 145 161 184 203 230 232 280 290 322 406 460 580 644 667 805 812 920 1015 1160 1288 1334 1610 1624 2030 2668 3220 3335 4060 4669 5336 6440 6670 8120 9338 13340 18676 23345 26680 37352 46690 72287 93380 144574 186760 289148 361435 506009 578296 722870 1012018 1445740 1662601 2024036 2096323 2530045 2891480 3325202 4048072 4192646 5060090 6650404 8313005 8385292 10120180 10481615 11638207 13300808 14674261 16626010 16770584 20240360 20963230 23276414 29348522 33252020 41926460 46552828 48215429 58191035 58697044 66504040 73371305 83852920 93105656 96430858 116382070 117394088 146742610 192861716 232764140 241077145 293485220 337508003 385723432 465528280 482154290 586970440 675016006 964308580 1350032012 1687540015 1928617160 2700064024 3375080030 6750160060 13500320120