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201131221320 = 23325558697837
BaseRepresentation
bin1011101101010001011…
…0101110000101001000
3201020011011212200102100
42323110112232011020
511243404043040240
6232222020033400
720350135113231
oct2732426560510
9636134780370
10201131221320
1178332370557
1232b92532860
1315c747b19c3
149a4042a088
155372925e30
hex2ed45ae148

201131221320 has 48 divisors (see below), whose sum is σ = 653676470460. Its totient is φ = 53634992256.

The previous prime is 201131221273. The next prime is 201131221327. The reversal of 201131221320 is 23122131102.

201131221320 is a `hidden beast` number, since 2 + 0 + 11 + 312 + 21 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198240438564 + 2890782756 = 445242^2 + 53766^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201131221293 and 201131221302.

It is not an unprimeable number, because it can be changed into a prime (201131221327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279348559 + ... + 279349278.

Almost surely, 2201131221320 is an apocalyptic number.

201131221320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201131221320 is an abundant number, since it is smaller than the sum of its proper divisors (452545249140).

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

201131221320 is a wasteful number, since it uses less digits than its factorization.

201131221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558697854 (or 558697847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201131221320 its reverse (23122131102), we get a palindrome (224253352422).

The spelling of 201131221320 in words is "two hundred one billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 558697837 1117395674 1676093511 2234791348 2793489185 3352187022 4469582696 5028280533 5586978370 6704374044 8380467555 10056561066 11173956740 13408748088 16760935110 20113122132 22347913480 25141402665 33521870220 40226244264 50282805330 67043740440 100565610660 201131221320