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201133112220 = 223253730200167
BaseRepresentation
bin1011101101010001110…
…1111011101110011100
3201020011022102202020200
42323110131323232130
511243410034042340
6232222124343500
720350160150115
oct2732435735634
9636138382220
10201133112220
1178333442187
1232b930a4b90
1315c74cc4591
149a4079d20c
155372b9b330
hex2ed477bb9c

201133112220 has 72 divisors (see below), whose sum is σ = 626593085664. Its totient is φ = 52185886848.

The previous prime is 201133112209. The next prime is 201133112227. The reversal of 201133112220 is 22211331102.

201133112220 is a `hidden beast` number, since 20 + 113 + 311 + 2 + 220 = 666.

It is a super-2 number, since 2×2011331122202 (a number of 23 digits) contains 22 as substring.

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 = 201133112193 and 201133112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201133112227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15093424 + ... + 15106743.

Almost surely, 2201133112220 is an apocalyptic number.

201133112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201133112220 is an abundant number, since it is smaller than the sum of its proper divisors (425459973444).

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

201133112220 is a wasteful number, since it uses less digits than its factorization.

201133112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30200219 (or 30200214 counting only the distinct ones).

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

Adding to 201133112220 its reverse (22211331102), we get a palindrome (223344443322).

The spelling of 201133112220 in words is "two hundred one billion, one hundred thirty-three million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 30200167 60400334 90600501 120800668 151000835 181201002 271801503 302001670 362402004 453002505 543603006 604003340 906005010 1087206012 1117406179 1359007515 1812010020 2234812358 2718015030 3352218537 4469624716 5436030060 5587030895 6704437074 10056655611 11174061790 13408874148 16761092685 20113311222 22348123580 33522185370 40226622444 50283278055 67044370740 100566556110 201133112220