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212220202120 = 235101317165709
BaseRepresentation
bin1100010110100101001…
…1110100110010001000
3202021202222202021100221
43011221103310302020
511434111332431440
6241254223235424
721222004645303
oct3055123646210
9667688667327
10212220202120
11820028539a3
1235168148b74
1317020c923c4
14a3b305db3a
1557c11ded4a
hex31694f4c88

212220202120 has 64 divisors (see below), whose sum is σ = 483747260400. Its totient is φ = 83781964800.

The previous prime is 212220202097. The next prime is 212220202123. The reversal of 212220202120 is 21202022212.

It can be written as a sum of positive squares in 8 ways, for example, as 131039656036 + 81180546084 = 361994^2 + 284922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212220202094 and 212220202103.

It is not an unprimeable number, because it can be changed into a prime (212220202123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197826 + ... + 1363534.

Almost surely, 2212220202120 is an apocalyptic number.

212220202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220202120 is an abundant number, since it is smaller than the sum of its proper divisors (271527058280).

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

212220202120 is a wasteful number, since it uses less digits than its factorization.

212220202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166138 (or 166134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212220202120 its reverse (21202022212), we get a palindrome (233422224332).

The spelling of 212220202120 in words is "two hundred twelve billion, two hundred twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 317 404 505 634 808 1010 1268 1585 2020 2536 3170 4040 6340 12680 32017 64034 128068 160085 165709 256136 320170 331418 640340 662836 828545 1280680 1325672 1657090 3314180 6628360 16736609 33473218 52529753 66946436 83683045 105059506 133892872 167366090 210119012 262648765 334732180 420238024 525297530 669464360 1050595060 2101190120 5305505053 10611010106 21222020212 26527525265 42444040424 53055050530 106110101060 212220202120