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201124133320 = 23511241554573
BaseRepresentation
bin1011101101001111101…
…1101011100111001000
3201020010200112120111211
42323103323223213020
511243400234231240
6232221204102504
720350020632425
oct2732373534710
9636120476454
10201124133320
117832936a200
1232b90094a34
1315c7319c716
149a3d502d4c
155371ec5bea
hex2ed3eeb9c8

201124133320 has 48 divisors (see below), whose sum is σ = 497408250780. Its totient is φ = 73136046720.

The previous prime is 201124133299. The next prime is 201124133323. The reversal of 201124133320 is 23331421102.

It can be written as a sum of positive squares in 2 ways, for example, as 163702778404 + 37421354916 = 404602^2 + 193446^2 .

It is a super-2 number, since 2×2011241333202 (a number of 23 digits) contains 22 as substring.

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 = 201124133291 and 201124133300.

It is not an unprimeable number, because it can be changed into a prime (201124133323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20772447 + ... + 20782126.

Almost surely, 2201124133320 is an apocalyptic number.

201124133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201124133320 is an abundant number, since it is smaller than the sum of its proper divisors (296284117460).

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

201124133320 is a wasteful number, since it uses less digits than its factorization.

201124133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41554606 (or 41554591 counting only the distinct ones).

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

Adding to 201124133320 its reverse (23331421102), we get a palindrome (224455554422).

The spelling of 201124133320 in words is "two hundred one billion, one hundred twenty-four million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 41554573 83109146 166218292 207772865 332436584 415545730 457100303 831091460 914200606 1662182920 1828401212 2285501515 3656802424 4571003030 5028103333 9142006060 10056206666 18284012120 20112413332 25140516665 40224826664 50281033330 100562066660 201124133320