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201021212020212 = 223237150916825841
BaseRepresentation
bin101101101101001111100101…
…111011110100110111110100
3222100202102212220012202110200
4231231033211323310313310
5202322012420234121322
61551311511523120500
760225206013261213
oct5555174573646764
9870672786182420
10201021212020212
1159062687633a61
121a667311213130
1388222b0074a6c
14378d69b2d107a
151839052b838ac
hexb6d3e5ef4df4

201021212020212 has 36 divisors (see below), whose sum is σ = 521870383761636. Its totient is φ = 65196068762880.

The previous prime is 201021212020193. The next prime is 201021212020273. The reversal of 201021212020212 is 212020212120102.

It is a happy number.

201021212020212 is a `hidden beast` number, since 201 + 0 + 21 + 212 + 0 + 20 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137012315711076 + 64008896309136 = 11705226^2 + 8000556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75458411589 + ... + 75458414252.

Almost surely, 2201021212020212 is an apocalyptic number.

It is an amenable number.

201021212020212 is an abundant number, since it is smaller than the sum of its proper divisors (320849171741424).

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

201021212020212 is a wasteful number, since it uses less digits than its factorization.

201021212020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150916825888 (or 150916825883 counting only the distinct ones).

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

Adding to 201021212020212 its reverse (212020212120102), we get a palindrome (413041424140314).

The spelling of 201021212020212 in words is "two hundred one trillion, twenty-one billion, two hundred twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 150916825841 301833651682 452750477523 603667303364 905500955046 1358251432569 1811001910092 2716502865138 5433005730276 5583922556117 11167845112234 16751767668351 22335690224468 33503535336702 50255303005053 67007070673404 100510606010106 201021212020212