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212020332120 = 23325588945367
BaseRepresentation
bin1100010101110101100…
…1011000011001011000
3202021021001122211021100
43011131121120121120
511433204201111440
6241222323311400
721214030042032
oct3053531303130
9667231584240
10212020332120
1181a0aa4a683
123511121b560
1316cbb75232c
14a3946b2c52
1557ad8ae230
hex315d658658

212020332120 has 48 divisors (see below), whose sum is σ = 689066080560. Its totient is φ = 56538755136.

The previous prime is 212020332113. The next prime is 212020332187. The reversal of 212020332120 is 21233020212.

212020332120 is a `hidden beast` number, since 2 + 120 + 203 + 321 + 20 = 666.

212020332120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 212020332093 and 212020332102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294472324 + ... + 294473043.

It is an arithmetic number, because the mean of its divisors is an integer number (14355543345).

Almost surely, 2212020332120 is an apocalyptic number.

212020332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020332120 is an abundant number, since it is smaller than the sum of its proper divisors (477045748440).

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

212020332120 is a wasteful number, since it uses less digits than its factorization.

212020332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588945384 (or 588945377 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212020332120 its reverse (21233020212), we get a palindrome (233253352332).

The spelling of 212020332120 in words is "two hundred twelve billion, twenty million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 588945367 1177890734 1766836101 2355781468 2944726835 3533672202 4711562936 5300508303 5889453670 7067344404 8834180505 10601016606 11778907340 14134688808 17668361010 21202033212 23557814680 26502541515 35336722020 42404066424 53005083030 70673444040 106010166060 212020332120