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201021212201220 = 223254931226482359
BaseRepresentation
bin101101101101001111100101…
…111100100001000100000100
3222100202102212220112221202200
4231231033211330201010010
5202322012420310414340
61551311511531034500
760225206014644015
oct5555174574410404
9870672786487680
10201021212201220
1159062687747a54
121a66731129ba30
1388222b0109278
14378d69b33b00c
151839052bbc330
hexb6d3e5f21104

201021212201220 has 72 divisors (see below), whose sum is σ = 609888005737920. Its totient is φ = 53594785197120.

The previous prime is 201021212201203. The next prime is 201021212201267. The reversal of 201021212201220 is 22102212120102.

It is a happy number.

201021212201220 is a `hidden beast` number, since 2 + 0 + 10 + 21 + 212 + 201 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201021212201193 and 201021212201202.

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 23 ways as a sum of consecutive naturals, for example, 112353600 + ... + 114128759.

It is an arithmetic number, because the mean of its divisors is an integer number (8470666746360).

Almost surely, 2201021212201220 is an apocalyptic number.

201021212201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021212201220 is an abundant number, since it is smaller than the sum of its proper divisors (408866793536700).

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

201021212201220 is a wasteful number, since it uses less digits than its factorization.

201021212201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226487305 (or 226487300 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201021212201220 its reverse (22102212120102), we get a palindrome (223123424321322).

The spelling of 201021212201220 in words is "two hundred one trillion, twenty-one billion, two hundred twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4931 9862 14793 19724 24655 29586 44379 49310 59172 73965 88758 98620 147930 177516 221895 295860 443790 887580 226482359 452964718 679447077 905929436 1132411795 1358894154 2038341231 2264823590 2717788308 3397235385 4076682462 4529647180 6794470770 8153364924 10191706155 13588941540 20383412310 40766824620 1116784512229 2233569024458 3350353536687 4467138048916 5583922561145 6700707073374 10051060610061 11167845122290 13401414146748 16751767683435 20102121220122 22335690244580 33503535366870 40204242440244 50255303050305 67007070733740 100510606100610 201021212201220