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212010111221020 = 22572952219239217
BaseRepresentation
bin110000001101001001110011…
…010111100011110100011100
31000210122222011011202102001021
4300031021303113203310130
5210242033201433033040
62030524033414053524
762441140124310520
oct6015116327436434
91023588134672037
10212010111221020
1161609a8a768162
121b940b9134a2a4
13913b61070ac88
143a4d4b6437d80
151979d099dc24a
hexc0d2735e3d1c

212010111221020 has 48 divisors (see below), whose sum is σ = 526369931317440. Its totient is φ = 70182657506304.

The previous prime is 212010111220987. The next prime is 212010111221033. The reversal of 212010111221020 is 20122111010212.

212010111221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212010111220985 and 212010111221003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26109615549 + ... + 26109623668.

It is an arithmetic number, because the mean of its divisors is an integer number (10966040235780).

Almost surely, 2212010111221020 is an apocalyptic number.

212010111221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010111221020 is an abundant number, since it is smaller than the sum of its proper divisors (314359820096420).

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

212010111221020 is a wasteful number, since it uses less digits than its factorization.

212010111221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52219239262 (or 52219239260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212010111221020 its reverse (20122111010212), we get a palindrome (232132222231232).

The spelling of 212010111221020 in words is "two hundred twelve trillion, ten billion, one hundred eleven million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 52219239217 104438478434 208876956868 261096196085 365534674519 522192392170 731069349038 1044384784340 1462138698076 1514357937293 1827673372595 3028715874586 3655346745190 6057431749172 7310693490380 7571789686465 10600505561051 15143579372930 21201011122102 30287158745860 42402022244204 53002527805255 106005055610510 212010111221020