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110011111022020 = 225131993212302889
BaseRepresentation
bin11001000000110111110101…
…001100011001110111000100
3112102111221220110220011221011
4121000313311030121313010
5103404410223410201040
61025550223503332004
732113016612612005
oct3100676514316704
9472457813804834
10110011111022020
11320644a520851a
1210408a825b1004
1349500071cb3c0
141d247cd8711ac
15cab994dd23ea
hex640df5319dc4

110011111022020 has 48 divisors (see below), whose sum is σ = 248919194044080. Its totient is φ = 40599105878016.

The previous prime is 110011111022011. The next prime is 110011111022051. The reversal of 110011111022020 is 20220111110011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2011087024384 + 108000023997636 = 1418128^2 + 10392306^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 105633265 + ... + 106669624.

It is an arithmetic number, because the mean of its divisors is an integer number (5185816542585).

Almost surely, 2110011111022020 is an apocalyptic number.

110011111022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110011111022020 is an abundant number, since it is smaller than the sum of its proper divisors (138908083022060).

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

110011111022020 is a wasteful number, since it uses less digits than its factorization.

110011111022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212304904 (or 212304902 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110011111022020 its reverse (20220111110011), we get a palindrome (130231222132031).

The spelling of 110011111022020 in words is "one hundred ten trillion, eleven billion, one hundred eleven million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1993 3986 7972 9965 19930 25909 39860 51818 103636 129545 259090 518180 212302889 424605778 849211556 1061514445 2123028890 2759937557 4246057780 5519875114 11039750228 13799687785 27599375570 55198751140 423119657777 846239315554 1692478631108 2115598288885 4231196577770 5500555551101 8462393155540 11001111102202 22002222204404 27502777755505 55005555511010 110011111022020