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201020020210020 = 2235111731760553689
BaseRepresentation
bin101101101101001110011110…
…111001011011100101100100
3222100202022210211121112020110
4231231032132321123211210
5202322003000133210040
61551311153350333020
760225134332123014
oct5555163671334544
9870668724545213
10201020020210020
1159062125911360
121a66703a05a170
13882215018a22b
14378d5c6cd3c44
151838ed3214980
hexb6d39ee5b964

201020020210020 has 96 divisors (see below), whose sum is σ = 617574065592960. Its totient is φ = 48450437493760.

The previous prime is 201020020210019. The next prime is 201020020210021. The reversal of 201020020210020 is 20012020020102.

It is an interprime number because it is at equal distance from previous prime (201020020210019) and next prime (201020020210021).

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

It is a junction number, because it is equal to n+sod(n) for n = 201020020209978 and 201020020210005.

It is not an unprimeable number, because it can be changed into a prime (201020020210021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880162665 + ... + 880391024.

It is an arithmetic number, because the mean of its divisors is an integer number (6433063183260).

Almost surely, 2201020020210020 is an apocalyptic number.

201020020210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020020210020 is an abundant number, since it is smaller than the sum of its proper divisors (416554045382940).

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

201020020210020 is a wasteful number, since it uses less digits than its factorization.

201020020210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760553885 (or 1760553883 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201020020210020 its reverse (20012020020102), we get a palindrome (221032040230122).

The spelling of 201020020210020 in words is "two hundred one trillion, twenty billion, twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 173 220 330 346 519 660 692 865 1038 1730 1903 2076 2595 3460 3806 5190 5709 7612 9515 10380 11418 19030 22836 28545 38060 57090 114180 1760553689 3521107378 5281661067 7042214756 8802768445 10563322134 17605536890 19366090579 21126644268 26408305335 35211073780 38732181158 52816610670 58098271737 77464362316 96830452895 105633221340 116196543474 193660905790 232393086948 290491358685 304575788197 387321811580 580982717370 609151576394 913727364591 1161965434740 1218303152788 1522878940985 1827454729182 3045757881970 3350333670167 3654909458364 4568636822955 6091515763940 6700667340334 9137273645910 10051001010501 13401334680668 16751668350835 18274547291820 20102002021002 33503336701670 40204004042004 50255005052505 67006673403340 100510010105010 201020020210020