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110021003120 = 2457677290201
BaseRepresentation
bin110011001110111000…
…0110100011101110000
3101111222112221001020102
41212131300310131300
53300310334044440
6122313135531532
710643265045020
oct1463560643560
9344875831212
10110021003120
1142728a96066
12193a5989ba8
13a4b4971aa2
145479ccda80
152cddd95b15
hex199dc34770

110021003120 has 80 divisors (see below), whose sum is σ = 292774350528. Its totient is φ = 37665638400.

The previous prime is 110021003111. The next prime is 110021003159. The reversal of 110021003120 is 21300120011.

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

It is a super-2 number, since 2×1100210031202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234020 + ... + 524220.

Almost surely, 2110021003120 is an apocalyptic number.

110021003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110021003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146387175264).

110021003120 is an abundant number, since it is smaller than the sum of its proper divisors (182753347408).

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

110021003120 is a wasteful number, since it uses less digits than its factorization.

110021003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290898 (or 290892 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 110021003120 its reverse (21300120011), we get a palindrome (131321123131).

The spelling of 110021003120 in words is "one hundred ten billion, twenty-one million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 677 1354 2708 3385 4739 5416 6770 9478 10832 13540 18956 23695 27080 37912 47390 54160 75824 94780 189560 290201 379120 580402 1160804 1451005 2031407 2321608 2902010 4062814 4643216 5804020 8125628 10157035 11608040 16251256 20314070 23216080 32502512 40628140 81256280 162512560 196466077 392932154 785864308 982330385 1375262539 1571728616 1964660770 2750525078 3143457232 3929321540 5501050156 6876312695 7858643080 11002100312 13752625390 15717286160 22004200624 27505250780 55010501560 110021003120