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201012012012200 = 23528779971149469
BaseRepresentation
bin101101101101000111000001…
…100100100101001010101000
3222100201120010201202221001012
4231231013001210211022220
5202321340100033342300
61551303350555043052
760224432021430344
oct5555070144451250
9870646121687035
10201012012012200
1159059796454854
121a665584140488
13882147503693c
14378d0674d4624
151838bb514a435
hexb6d1c19252a8

201012012012200 has 96 divisors (see below), whose sum is σ = 468355528666200. Its totient is φ = 80232498570240.

The previous prime is 201012012012187. The next prime is 201012012012211. The reversal of 201012012012200 is 2210210210102.

It can be written as a sum of positive squares in 12 ways, for example, as 24768279447076 + 176243732565124 = 4976774^2 + 13275682^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174299066 + ... + 175448534.

Almost surely, 2201012012012200 is an apocalyptic number.

201012012012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012012012200 is an abundant number, since it is smaller than the sum of its proper divisors (267343516654000).

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

201012012012200 is a wasteful number, since it uses less digits than its factorization.

201012012012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151359 (or 1151350 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201012012012200 its reverse (2210210210102), we get a palindrome (203222222222302).

The spelling of 201012012012200 in words is "two hundred one trillion, twelve billion, twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 877 997 1754 1994 3508 3988 4385 4985 7016 7976 8770 9970 17540 19940 21925 24925 35080 39880 43850 49850 87700 99700 175400 199400 874369 1149469 1748738 2298938 3497476 4371845 4597876 5747345 6994952 8743690 9195752 11494690 17487380 21859225 22989380 28736725 34974760 43718450 45978760 57473450 87436900 114946900 174873800 229893800 1008084313 1146020593 2016168626 2292041186 4032337252 4584082372 5040421565 5730102965 8064674504 9168164744 10080843130 11460205930 20161686260 22920411860 25202107825 28650514825 40323372520 45840823720 50404215650 57301029650 100808431300 114602059300 201616862600 229204118600 1005060060061 2010120120122 4020240240244 5025300300305 8040480480488 10050600600610 20101201201220 25126501501525 40202402402440 50253003003050 100506006006100 201012012012200