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13300223122120 = 23511173174727051
BaseRepresentation
bin1100000110001011001100…
…0100110001101011001000
31202002111012102021100000211
43001202303010301223020
53220402324104401440
644142012124010504
72541623633132614
oct301426304615310
952074172240024
1013300223122120
114268658241a40
1215a9809990a34
13756289aa883c
1433da3ca48344
15180e8171aeea
hexc18b3131ac8

13300223122120 has 64 divisors (see below), whose sum is σ = 32834707611840. Its totient is φ = 4808488416000.

The previous prime is 13300223122091. The next prime is 13300223122127. The reversal of 13300223122120 is 2122132200331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13300223122091 and 13300223122100.

It is not an unprimeable number, because it can be changed into a prime (13300223122127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87287406 + ... + 87439645.

It is an arithmetic number, because the mean of its divisors is an integer number (513042306435).

Almost surely, 213300223122120 is an apocalyptic number.

13300223122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300223122120 is an abundant number, since it is smaller than the sum of its proper divisors (19534484489720).

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

13300223122120 is a wasteful number, since it uses less digits than its factorization.

13300223122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174727246 (or 174727242 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13300223122120 its reverse (2122132200331), we get a palindrome (15422355322451).

The spelling of 13300223122120 in words is "thirteen trillion, three hundred billion, two hundred twenty-three million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 173 220 346 440 692 865 1384 1730 1903 3460 3806 6920 7612 9515 15224 19030 38060 76120 174727051 349454102 698908204 873635255 1397816408 1747270510 1921997561 3494541020 3843995122 6989082040 7687990244 9609987805 15375980488 19219975610 30227779823 38439951220 60455559646 76879902440 120911119292 151138899115 241822238584 302277798230 332505578053 604555596460 665011156106 1209111192920 1330022312212 1662527890265 2660044624424 3325055780530 6650111561060 13300223122120