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110001011000022 = 23219853937667219
BaseRepresentation
bin11001000000101110011011…
…001011111000001011010110
3112102110222211120220220102100
4121000232123023320023112
5103404224032304000042
61025541433345022530
732112211412053512
oct3100563313701326
9472428746826370
10110001011000022
1132060191a974aa
1210406b24024a46
13494c08789041c
141d24112313142
15cab5a336824c
hex640b9b2f82d6

110001011000022 has 48 divisors (see below), whose sum is σ = 250908885864000. Its totient is φ = 34733092386672.

The previous prime is 110001010999981. The next prime is 110001011000129. The reversal of 110001011000022 is 220000110100011.

It is a happy number.

It is a super-2 number, since 2×1100010110000222 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 110001010999968 and 110001011000013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15913272 + ... + 21753947.

It is an arithmetic number, because the mean of its divisors is an integer number (5227268455500).

Almost surely, 2110001011000022 is an apocalyptic number.

110001011000022 is an abundant number, since it is smaller than the sum of its proper divisors (140907874863978).

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

110001011000022 is a wasteful number, since it uses less digits than its factorization.

110001011000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37675785 (or 37675782 counting only the distinct ones).

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

Adding to 110001011000022 its reverse (220000110100011), we get a palindrome (330001121100033).

The spelling of 110001011000022 in words is "one hundred ten trillion, one billion, eleven million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 8539 17078 25617 51234 76851 153702 162241 324482 486723 973446 1460169 2920338 37667219 75334438 113001657 226003314 339004971 678009942 715677161 1431354322 2147031483 4294062966 6441094449 12882188898 321640383041 643280766082 964921149123 1929842298246 2894763447369 5789526894738 6111167277779 12222334555558 18333501833337 36667003666674 55000505500011 110001011000022