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21213032211200 = 28527874211609
BaseRepresentation
bin1001101001011000010110…
…01111111110001100000000
32210002221112200120112120002
410310230023033332030000
510240023242221224300
6113041044340135132
74316406466500524
oct464541317761400
983087480515502
1021213032211200
11683943a72a305
1224672896974a8
13bab4c383a9cb
14534a054d7d84
1526bbedc375d5
hex134b0b3fe300

21213032211200 has 108 divisors (see below), whose sum is σ = 52572297839880. Its totient is φ = 8474429153280.

The previous prime is 21213032211079. The next prime is 21213032211211. The reversal of 21213032211200 is 211223031212.

It is a super-2 number, since 2×212130322112002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2930996 + ... + 7142604.

Almost surely, 221213032211200 is an apocalyptic number.

21213032211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213032211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26286148919940).

21213032211200 is an abundant number, since it is smaller than the sum of its proper divisors (31359265628680).

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

21213032211200 is an equidigital number, since it uses as much as digits as its factorization.

21213032211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212422 (or 4212403 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21213032211200 its reverse (211223031212), we get a palindrome (21424255242412).

The spelling of 21213032211200 in words is "twenty-one trillion, two hundred thirteen billion, thirty-two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 787 800 1280 1574 1600 3148 3200 3935 6296 6400 7870 12592 15740 19675 25184 31480 39350 50368 62960 78700 100736 125920 157400 201472 251840 314800 503680 629600 1007360 1259200 2518400 4211609 5036800 8423218 16846436 21058045 33692872 42116090 67385744 84232180 105290225 134771488 168464360 210580450 269542976 336928720 421160900 539085952 673857440 842321800 1078171904 1347714880 1684643600 2695429760 3314536283 3369287200 5390859520 6629072566 6738574400 13258145132 13477148800 16572681415 26516290264 26954297600 33145362830 53032580528 66290725660 82863407075 106065161056 132581451320 165726814150 212130322112 265162902640 331453628300 424260644224 530325805280 662907256600 848521288448 1060651610560 1325814513200 2121303221120 2651629026400 4242606442240 5303258052800 10606516105600 21213032211200