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21112201332 = 22321737932353
BaseRepresentation
bin10011101010011000…
…101010000001110100
32000111100022221122200
4103222120222001310
5321214210420312
613410535424500
71345115515245
oct235230520164
960440287580
1021112201332
118a54318382
124112525130
131cb5c3b131
141043cbcccc
158387120dc
hex4ea62a074

21112201332 has 72 divisors (see below), whose sum is σ = 58033442376. Its totient is φ = 6444417024.

The previous prime is 21112201307. The next prime is 21112201333. The reversal of 21112201332 is 23310221112.

21112201332 is a `hidden beast` number, since 2 + 111 + 220 + 1 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8912115216 + 12200086116 = 94404^2 + 110454^2 .

It is a super-3 number, since 3×211122013323 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112201333) 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, 443533 + ... + 488820.

It is an arithmetic number, because the mean of its divisors is an integer number (806020033).

Almost surely, 221112201332 is an apocalyptic number.

It is an amenable number.

21112201332 is an abundant number, since it is smaller than the sum of its proper divisors (36921241044).

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

21112201332 is a wasteful number, since it uses less digits than its factorization.

21112201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932417 (or 932412 counting only the distinct ones).

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

Adding to 21112201332 its reverse (23310221112), we get a palindrome (44422422444).

The spelling of 21112201332 in words is "twenty-one billion, one hundred twelve million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 7548 11322 22644 932353 1864706 2797059 3729412 5594118 8391177 11188236 15850001 16782354 31700002 33564708 34497061 47550003 63400004 68994122 95100006 103491183 137988244 142650009 190200012 206982366 285300018 310473549 413964732 570600036 586450037 620947098 1172900074 1241894196 1759350111 2345800148 3518700222 5278050333 7037400444 10556100666 21112201332