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10022211120222 = 232797820014001
BaseRepresentation
bin1001000111010111101001…
…0101010110110001011110
31022111010002010101001210200
42101311322111112301132
52303200442021321342
633152050142244330
72053036506633660
oct221657225266136
938433063331720
1010022211120222
113214439998424
12115a4562866a6
13579123959202
14269112d48530
15125a79d7594c
hex91d7a556c5e

10022211120222 has 48 divisors (see below), whose sum is σ = 25072748125152. Its totient is φ = 2833968384000.

The previous prime is 10022211120209. The next prime is 10022211120239. The reversal of 10022211120222 is 22202111222001.

It is a happy number.

10022211120222 is a `hidden beast` number, since 100 + 2 + 221 + 1 + 120 + 222 = 666.

It is a super-2 number, since 2×100222111202222 (a number of 27 digits) contains 22 as substring.

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 = 10022211120195 and 10022211120204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409994779 + ... + 410019222.

It is an arithmetic number, because the mean of its divisors is an integer number (522348919274).

Almost surely, 210022211120222 is an apocalyptic number.

10022211120222 is an abundant number, since it is smaller than the sum of its proper divisors (15050537004930).

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

10022211120222 is a wasteful number, since it uses less digits than its factorization.

10022211120222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820014113 (or 820014110 counting only the distinct ones).

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

Adding to 10022211120222 its reverse (22202111222001), we get a palindrome (32224322342223).

The spelling of 10022211120222 in words is "ten trillion, twenty-two billion, two hundred eleven million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 12222 820014001 1640028002 2460042003 4920084006 5740098007 7380126009 11480196014 14760252018 17220294021 34440588042 51660882063 79541358097 103321764126 159082716194 238624074291 477248148582 556789506679 715872222873 1113579013358 1431744445746 1670368520037 3340737040074 5011105560111 10022211120222