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21112122330 = 23251318044549
BaseRepresentation
bin10011101010011000…
…010110101111011010
32000111100011221021200
4103222120112233122
5321214200403310
613410534015030
71345115036025
oct235230265732
960440157250
1021112122330
118a54273a92
1241124a7476
131cb5c111a0
141043c9c1bc
158386e89c0
hex4ea616bda

21112122330 has 48 divisors (see below), whose sum is σ = 59113945800. Its totient is φ = 5196829824.

The previous prime is 21112122319. The next prime is 21112122331. The reversal of 21112122330 is 3322121112.

21112122330 is a `hidden beast` number, since 211 + 1 + 2 + 122 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14617535409 + 6494586921 = 120903^2 + 80589^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21112122331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9021105 + ... + 9023444.

Almost surely, 221112122330 is an apocalyptic number.

21112122330 is an abundant number, since it is smaller than the sum of its proper divisors (38001823470).

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

21112122330 is a wasteful number, since it uses less digits than its factorization.

21112122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18044575 (or 18044572 counting only the distinct ones).

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

Adding to 21112122330 its reverse (3322121112), we get a palindrome (24434243442).

The spelling of 21112122330 in words is "twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 18044549 36089098 54133647 90222745 108267294 162400941 180445490 234579137 270668235 324801882 469158274 541336470 703737411 812004705 1172895685 1407474822 1624009410 2111212233 2345791370 3518687055 4222424466 7037374110 10556061165 21112122330