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213122054200 = 235211868911149
BaseRepresentation
bin1100011001111100010…
…0000111100000111000
3202101002211202002211211
43012133010013200320
511442433221213300
6241523521132504
721253235366536
oct3063704074070
9671084662754
10213122054200
11824259307a0
123537a18a134
1317135a86aa3
14a45ab3d156
1558254854ba
hex319f107838

213122054200 has 96 divisors (see below), whose sum is σ = 540665730000. Its totient is φ = 77483059200.

The previous prime is 213122054137. The next prime is 213122054207. The reversal of 213122054200 is 2450221312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213122054207) 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 23 ways as a sum of consecutive naturals, for example, 19110226 + ... + 19121374.

Almost surely, 2213122054200 is an apocalyptic number.

213122054200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213122054200 is an abundant number, since it is smaller than the sum of its proper divisors (327543675800).

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

213122054200 is a wasteful number, since it uses less digits than its factorization.

213122054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19865 (or 19856 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 213122054200 its reverse (2450221312), we get a palindrome (215572275512).

The spelling of 213122054200 in words is "two hundred thirteen billion, one hundred twenty-two million, fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 8689 11149 17378 22298 34756 43445 44596 55745 69512 86890 89192 95579 111490 122639 173780 191158 217225 222980 245278 278725 347560 382316 434450 445960 477895 490556 557450 613195 764632 868900 955790 981112 1114900 1226390 1737800 1911580 2229800 2389475 2452780 3065975 3823160 4778950 4905560 6131950 9557900 12263900 19115800 24527800 96873661 193747322 387494644 484368305 774989288 968736610 1065610271 1937473220 2131220542 2421841525 3874946440 4262441084 4843683050 5328051355 8524882168 9687366100 10656102710 19374732200 21312205420 26640256775 42624410840 53280513550 106561027100 213122054200