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2020212021200 = 245210694724537
BaseRepresentation
bin11101011001011110000…
…001010001011111010000
321011010112001022220121212
4131121132001101133100
5231044343234134300
64144023402435252
7265645510564412
oct35313601213720
97133461286555
102020212021200
1170984902353a
12287644b02b28
13118674b44b29
146dac8da69b2
153783c679935
hex1d65e0517d0

2020212021200 has 60 divisors (see below), whose sum is σ = 4858100689260. Its totient is φ = 807328711680.

The previous prime is 2020212021197. The next prime is 2020212021203. The reversal of 2020212021200 is 21202120202.

It is an interprime number because it is at equal distance from previous prime (2020212021197) and next prime (2020212021203).

It can be written as a sum of positive squares in 6 ways, for example, as 319243080256 + 1700968940944 = 565016^2 + 1304212^2 .

It is a super-2 number, since 2×20202120212002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020212021203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1934669 + ... + 2789868.

It is an arithmetic number, because the mean of its divisors is an integer number (80968344821).

Almost surely, 22020212021200 is an apocalyptic number.

2020212021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020212021200 is an abundant number, since it is smaller than the sum of its proper divisors (2837888668060).

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

2020212021200 is a wasteful number, since it uses less digits than its factorization.

2020212021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725624 (or 4725613 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2020212021200 its reverse (21202120202), we get a palindrome (2041414141402).

The spelling of 2020212021200 in words is "two trillion, twenty billion, two hundred twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1069 2138 4276 5345 8552 10690 17104 21380 26725 42760 53450 85520 106900 213800 427600 4724537 9449074 18898148 23622685 37796296 47245370 75592592 94490740 118113425 188981480 236226850 377962960 472453700 944907400 1889814800 5050530053 10101060106 20202120212 25252650265 40404240424 50505300530 80808480848 101010601060 126263251325 202021202120 252526502650 404042404240 505053005300 1010106010600 2020212021200