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212211210020 = 22519861534241
BaseRepresentation
bin1100010110100011000…
…1100001011100100100
3202021202100211102112012
43011220301201130210
511434102032210040
6241253302413352
721221535344255
oct3055061413444
9667670742465
10212211210020
1181aa8772007
1235165131258
131701c164534
14a3b1b9cb2c
1557c0515865
hex3168c61724

212211210020 has 24 divisors (see below), whose sum is σ = 445666813368. Its totient is φ = 84880051200.

The previous prime is 212211209957. The next prime is 212211210037. The reversal of 212211210020 is 20012112212.

It can be written as a sum of positive squares in 4 ways, for example, as 9399690304 + 202811519716 = 96952^2 + 450346^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212211209977 and 212211210004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130100 + ... + 664340.

It is an arithmetic number, because the mean of its divisors is an integer number (18569450557).

Almost surely, 2212211210020 is an apocalyptic number.

212211210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211210020 is an abundant number, since it is smaller than the sum of its proper divisors (233455603348).

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

212211210020 is a wasteful number, since it uses less digits than its factorization.

212211210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554111 (or 554109 counting only the distinct ones).

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

Adding to 212211210020 its reverse (20012112212), we get a palindrome (232223322232).

The spelling of 212211210020 in words is "two hundred twelve billion, two hundred eleven million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 19861 39722 79444 99305 198610 397220 534241 1068482 2136964 2671205 5342410 10684820 10610560501 21221121002 42442242004 53052802505 106105605010 212211210020