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22110321312 = 2532174515997
BaseRepresentation
bin10100100101111000…
…001011101010100000
32010001220110200212100
4110211320023222200
5330240220240222
614053552530400
71411625426112
oct244570135240
963056420770
1022110321312
119416777722
124350850a00
13211496a681
1410da69b3b2
158961714ac
hex525e0baa0

22110321312 has 72 divisors (see below), whose sum is σ = 66574842516. Its totient is φ = 6936569856.

The previous prime is 22110321293. The next prime is 22110321347. The reversal of 22110321312 is 21312301122.

22110321312 is a `hidden beast` number, since 2 + 21 + 10 + 321 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22080771216 + 29550096 = 148596^2 + 5436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2253103 + ... + 2262894.

Almost surely, 222110321312 is an apocalyptic number.

It is an amenable number.

22110321312 is an abundant number, since it is smaller than the sum of its proper divisors (44464521204).

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

22110321312 is a wasteful number, since it uses less digits than its factorization.

22110321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516030 (or 4516019 counting only the distinct ones).

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

Adding to 22110321312 its reverse (21312301122), we get a palindrome (43422622434).

The spelling of 22110321312 in words is "twenty-two billion, one hundred ten million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 4515997 9031994 13547991 18063988 27095982 36127976 40643973 54191964 72255952 76771949 81287946 108383928 144511904 153543898 162575892 216767856 230315847 307087796 325151784 433535712 460631694 614175592 650303568 690947541 921263388 1228351184 1300607136 1381895082 1842526776 2456702368 2763790164 3685053552 5527580328 7370107104 11055160656 22110321312