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220100322001131 = 3211131131513434701
BaseRepresentation
bin110010000010111000011001…
…100000100000000011101011
31001212022101101212122020222200
4302002320121200200003223
5212322110424413014011
62100040405252151243
764234503106306635
oct6202703140400353
91055271355566880
10220100322001131
1164149027847720
1220828b00608523
1395a74a99b4360
143c4ccab9a1a55
151a6a4ab567856
hexc82e198200eb

220100322001131 has 48 divisors (see below), whose sum is σ = 376808918365152. Its totient is φ = 122043374208000.

The previous prime is 220100322001121. The next prime is 220100322001181. The reversal of 220100322001131 is 131100223001022.

220100322001131 is a `hidden beast` number, since 220 + 10 + 0 + 322 + 0 + 0 + 113 + 1 = 666.

It is not a de Polignac number, because 220100322001131 - 25 = 220100322001099 is a prime.

It is a super-2 number, since 2×2201003220011312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220100322001121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756571920 + ... + 756862781.

It is an arithmetic number, because the mean of its divisors is an integer number (7850185799274).

Almost surely, 2220100322001131 is an apocalyptic number.

220100322001131 is a deficient number, since it is larger than the sum of its proper divisors (156708596364021).

220100322001131 is a wasteful number, since it uses less digits than its factorization.

220100322001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513434844 (or 1513434841 counting only the distinct ones).

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

Adding to 220100322001131 its reverse (131100223001022), we get a palindrome (351200545002153).

The spelling of 220100322001131 in words is "two hundred twenty trillion, one hundred billion, three hundred twenty-two million, one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 113 117 143 339 429 1017 1243 1287 1469 3729 4407 11187 13221 16159 48477 145431 1513434701 4540304103 13620912309 16647781711 19674651113 49943345133 59023953339 149830035399 171018121213 177071860017 216421162243 513054363639 649263486729 1539163090917 1881199333343 1947790460187 2223235575769 5643598000029 6669706727307 16930794000087 20009120181921 24455591333459 73366774000377 220100322001131