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10222012011222 = 23211973313160649
BaseRepresentation
bin1001010010111111111101…
…1001010001001011010110
31100012012210120222222002200
42110233333121101023112
52314434140033324342
633423532200545330
72103341662324164
oct224577731211326
940165716888080
1010222012011222
113291149325030
121191117182246
13591c159437bb
14274a687da234
1512ad70ab994c
hex94bff6512d6

10222012011222 has 96 divisors (see below), whose sum is σ = 24417723002400. Its totient is φ = 3064701173760.

The previous prime is 10222012011221. The next prime is 10222012011227. The reversal of 10222012011222 is 22211021022201.

It is a happy number.

10222012011222 is a `hidden beast` number, since 102 + 220 + 120 + 1 + 1 + 222 = 666.

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 = 10222012011195 and 10222012011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222012011221) 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, 63549154 + ... + 63709802.

It is an arithmetic number, because the mean of its divisors is an integer number (254351281275).

Almost surely, 210222012011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222012011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208861501200).

10222012011222 is an abundant number, since it is smaller than the sum of its proper divisors (14195710991178).

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

10222012011222 is a wasteful number, since it uses less digits than its factorization.

10222012011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164078 (or 164075 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222012011222 its reverse (22211021022201), we get a palindrome (32433033033423).

The spelling of 10222012011222 in words is "ten trillion, two hundred twenty-two billion, twelve million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 3201 3313 6402 6626 9603 9939 19206 19878 29817 36443 59634 72886 109329 160649 218658 321298 321361 327987 481947 642722 655974 963894 964083 1445841 1767139 1928166 2891682 2892249 3534278 3534971 5301417 5784498 7069942 10602834 10604913 15582953 15904251 21209826 31165906 31808502 31814739 46748859 63629478 93497718 140246577 171412483 280493154 342824966 514237449 532230137 1028474898 1064460274 1542712347 1596690411 3085424694 3193380822 4790071233 5854531507 9580142466 11709063014 17563594521 35127189042 51626323289 52690783563 103252646578 105381567126 154878969867 309757939734 464636909601 567889556179 929273819202 1135779112358 1703668668537 3407337337074 5111006005611 10222012011222