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110011100022 = 23331235127953
BaseRepresentation
bin110011001110100101…
…1000010101101110110
3101111221212021220202000
41212131023002231312
53300300320200042
6122312143400130
710643114631015
oct1463513025566
9344855256660
10110011100022
114272344178a
12193a25b3046
13a4b28b5375
145478872a7c
152cdd08b74c
hex199d2c2b76

110011100022 has 64 divisors (see below), whose sum is σ = 252471582720. Its totient is φ = 35471088000.

The previous prime is 110011100011. The next prime is 110011100027. The reversal of 110011100022 is 220001110011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 110011099977 and 110011100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011100027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3921598 + ... + 3949550.

It is an arithmetic number, because the mean of its divisors is an integer number (3944868480).

Almost surely, 2110011100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110011100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126235791360).

110011100022 is an abundant number, since it is smaller than the sum of its proper divisors (142460482698).

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

110011100022 is a wasteful number, since it uses less digits than its factorization.

110011100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30346 (or 30340 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110011100022 its reverse (220001110011), we get a palindrome (330012210033).

The spelling of 110011100022 in words is "one hundred ten billion, eleven million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 2351 4702 7053 14106 21159 27953 42318 55906 63477 72881 83859 126954 145762 167718 218643 251577 437286 503154 655929 754731 866543 1311858 1509462 1733086 1967787 2599629 3935574 5199258 7798887 15597774 23396661 46793322 65717503 131435006 197152509 394305018 591457527 1182915054 1774372581 2037242593 3548745162 4074485186 6111727779 12223455558 18335183337 36670366674 55005550011 110011100022