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13248123060 = 2235376789069
BaseRepresentation
bin11000101011010011…
…00101000010110100
31021012021200101022110
430111221211002310
5204113004414220
610030333131020
7646205121324
oct142551450264
937167611273
1013248123060
115689246a37
122698929a70
131331907c93
148d96b7284
15528114be0
hex315a650b4

13248123060 has 96 divisors (see below), whose sum is σ = 38666355840. Its totient is φ = 3386009088.

The previous prime is 13248123059. The next prime is 13248123061. The reversal of 13248123060 is 6032184231.

It is an interprime number because it is at equal distance from previous prime (13248123059) and next prime (13248123061).

It is a super-2 number, since 2×132481230602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13248123061) 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, 104206 + ... + 193274.

It is an arithmetic number, because the mean of its divisors is an integer number (402774540).

Almost surely, 213248123060 is an apocalyptic number.

13248123060 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 13248123060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19333177920).

13248123060 is an abundant number, since it is smaller than the sum of its proper divisors (25418232780).

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

13248123060 is a wasteful number, since it uses less digits than its factorization.

13248123060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89185 (or 89183 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 13248123060 in words is "thirteen billion, two hundred forty-eight million, one hundred twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 67 74 111 134 148 185 201 222 268 335 370 402 444 555 670 740 804 1005 1110 1340 2010 2220 2479 4020 4958 7437 9916 12395 14874 24790 29748 37185 49580 74370 89069 148740 178138 267207 356276 445345 534414 890690 1068828 1336035 1781380 2672070 3295553 5344140 5967623 6591106 9886659 11935246 13182212 16477765 17902869 19773318 23870492 29838115 32955530 35805738 39546636 49433295 59676230 65911060 71611476 89514345 98866590 119352460 179028690 197733180 220802051 358057380 441604102 662406153 883208204 1104010255 1324812306 2208020510 2649624612 3312030765 4416041020 6624061530 13248123060