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110001221102000 = 2453259121227561
BaseRepresentation
bin11001000000101110100111…
…101101010110100110110000
3112102111000101020021012011002
4121000232213231112212300
5103404230000100231000
61025541510252141132
732112216542643644
oct3100564755264660
9472430336235132
10110001221102000
113206028a64a1a8
1210406b824677a8
13494c0bc273817
141d241321a4c24
15cab5b6a1a8d5
hex640ba7b569b0

110001221102000 has 80 divisors (see below), whose sum is σ = 266085621644544. Its totient is φ = 43983504320000.

The previous prime is 110001221101907. The next prime is 110001221102057. The reversal of 110001221102000 is 201122100011.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 5431781 + ... + 15795780.

Almost surely, 2110001221102000 is an apocalyptic number.

110001221102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001221102000 is an abundant number, since it is smaller than the sum of its proper divisors (156084400542544).

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

110001221102000 is a wasteful number, since it uses less digits than its factorization.

110001221102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21230175 (or 21230159 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110001221102000 its reverse (201122100011), we get a palindrome (110202343202011).

The spelling of 110001221102000 in words is "one hundred ten trillion, one billion, two hundred twenty-one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2591 5182 10364 12955 20728 25910 41456 51820 64775 103640 129550 207280 259100 323875 518200 647750 1036400 1295500 2591000 5182000 21227561 42455122 84910244 106137805 169820488 212275610 339640976 424551220 530689025 849102440 1061378050 1698204880 2122756100 2653445125 4245512200 5306890250 8491024400 10613780500 21227561000 42455122000 55000610551 110001221102 220002442204 275003052755 440004884408 550006105510 880009768816 1100012211020 1375015263775 2200024422040 2750030527550 4400048844080 5500061055100 6875076318875 11000122110200 13750152637750 22000244220400 27500305275500 55000610551000 110001221102000