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201102012020100 = 223521486394509853
BaseRepresentation
bin101101101110011010110101…
…111111010111010110000100
3222101001011102222200001000010
4231232122311333113112010
5202324323410034120400
61551412553335350220
760234066221036052
oct5556326577272604
9871034388601003
10201102012020100
1159093980080874
121a67ab00b22370
138829ab8b5c699
1437935643d51d2
15183b1d14c9450
hexb6e6b5fd7584

201102012020100 has 72 divisors (see below), whose sum is σ = 581859198350080. Its totient is φ = 53626830526080.

The previous prime is 201102012020099. The next prime is 201102012020123. The reversal of 201102012020100 is 1020210201102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42336774 + ... + 46846626.

Almost surely, 2201102012020100 is an apocalyptic number.

201102012020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102012020100 is an abundant number, since it is smaller than the sum of its proper divisors (380757186329980).

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

201102012020100 is a wasteful number, since it uses less digits than its factorization.

201102012020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658509 (or 4658502 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201102012020100 its reverse (1020210201102), we get a palindrome (202122222221202).

The spelling of 201102012020100 in words is "two hundred one trillion, one hundred two billion, twelve million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 148639 297278 445917 594556 743195 891834 1486390 1783668 2229585 2972780 3715975 4459170 4509853 7431950 8918340 9019706 11147925 13529559 14863900 18039412 22295850 22549265 27059118 44591700 45098530 54118236 67647795 90197060 112746325 135295590 225492650 270591180 338238975 450985300 676477950 1352955900 670340040067 1340680080134 2011020120201 2681360160268 3351700200335 4022040240402 6703400400670 8044080480804 10055100601005 13406800801340 16758501001675 20110201202010 33517002003350 40220402404020 50275503005025 67034004006700 100551006010050 201102012020100