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20212011200 = 265236734421
BaseRepresentation
bin10010110100101110…
…101101000011000000
31221011121110112221102
4102310232231003000
5312343233324300
613141341313532
71313605155233
oct226456550300
957147415842
1020212011200
118632176197
123b00b658a8
131ba15a9054
14d9a51341a
157d46990d5
hex4b4bad0c0

20212011200 has 84 divisors (see below), whose sum is σ = 49871144352. Its totient is φ = 8062540800.

The previous prime is 20212011179. The next prime is 20212011221. The reversal of 20212011200 is 211021202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20212011179) and next prime (20212011221).

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, 569990 + ... + 604410.

Almost surely, 220212011200 is an apocalyptic number.

20212011200 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 20212011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935572176).

20212011200 is an abundant number, since it is smaller than the sum of its proper divisors (29659133152).

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

20212011200 is a wasteful number, since it uses less digits than its factorization.

20212011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34810 (or 34795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20212011200 its reverse (211021202), we get a palindrome (20423032402).

The spelling of 20212011200 in words is "twenty billion, two hundred twelve million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 367 400 734 800 1468 1600 1835 2936 3670 5872 7340 9175 11744 14680 18350 23488 29360 34421 36700 58720 68842 73400 117440 137684 146800 172105 275368 293600 344210 550736 587200 688420 860525 1101472 1376840 1721050 2202944 2753680 3442100 5507360 6884200 11014720 12632507 13768400 25265014 27536800 50530028 55073600 63162535 101060056 126325070 202120112 252650140 315812675 404240224 505300280 631625350 808480448 1010600560 1263250700 2021201120 2526501400 4042402240 5053002800 10106005600 20212011200