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240213123133020 = 22335444839116913
BaseRepresentation
bin110110100111100011111001…
…110111111110111001011100
31011111112011001120022222121000
4312213203321313332321130
5222441122434010224040
62210520215122110300
7101411553060203352
oct6647437167767134
91144464046288530
10240213123133020
116a5a28a47356a4
1222b36ab4aab390
13a4060008ca47b
14434653d03d7d2
151cb87643a6130
hexda78f9dfee5c

240213123133020 has 48 divisors (see below), whose sum is σ = 747329716415520. Its totient is φ = 64056832835328.

The previous prime is 240213123133013. The next prime is 240213123133073. The reversal of 240213123133020 is 20331321312042.

240213123133020 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 1 + 312 + 313 + 30 + 2 + 0 = 666.

It is a super-2 number, since 2×2402131231330202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222419557917 + ... + 222419558996.

It is an arithmetic number, because the mean of its divisors is an integer number (15569369091990).

Almost surely, 2240213123133020 is an apocalyptic number.

240213123133020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240213123133020 is an abundant number, since it is smaller than the sum of its proper divisors (507116593282500).

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

240213123133020 is a wasteful number, since it uses less digits than its factorization.

240213123133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444839116931 (or 444839116923 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 240213123133020 its reverse (20331321312042), we get a palindrome (260544444445062).

The spelling of 240213123133020 in words is "two hundred forty trillion, two hundred thirteen billion, one hundred twenty-three million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 444839116913 889678233826 1334517350739 1779356467652 2224195584565 2669034701478 4003552052217 4448391169130 5338069402956 6672586753695 8007104104434 8896782338260 12010656156651 13345173507390 16014208208868 20017760261085 24021312313302 26690347014780 40035520522170 48042624626604 60053280783255 80071041044340 120106561566510 240213123133020