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20213501212000 = 25537927637489
BaseRepresentation
bin1001001100010010100101…
…00011110011010101100000
32122120101120122122211020001
410212021102203303111200
510122134222302241000
6110553542042025344
74154243255255665
oct446112243632540
978511518584201
1020213501212000
116493552518688
1223256187a8254
13b38181792545
144dc4a5497a6c
15250bed76446a
hex1262528f3560

20213501212000 has 96 divisors (see below), whose sum is σ = 49670915636160. Its totient is φ = 8084367820800.

The previous prime is 20213501211977. The next prime is 20213501212033. The reversal of 20213501212000 is 21210531202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31389256 + ... + 32026744.

It is an arithmetic number, because the mean of its divisors is an integer number (517405371210).

Almost surely, 220213501212000 is an apocalyptic number.

20213501212000 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 20213501212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24835457818080).

20213501212000 is an abundant number, since it is smaller than the sum of its proper divisors (29457414424160).

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

20213501212000 is an equidigital number, since it uses as much as digits as its factorization.

20213501212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645441 (or 645423 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 20213501212000 its reverse (21210531202), we get a palindrome (20234711743202).

The spelling of 20213501212000 in words is "twenty trillion, two hundred thirteen billion, five hundred one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 7927 15854 31708 39635 63416 79270 126832 158540 198175 253664 317080 396350 634160 637489 792700 990875 1268320 1274978 1585400 1981750 2549956 3170800 3187445 3963500 5099912 6341600 6374890 7927000 10199824 12749780 15854000 15937225 20399648 25499560 31708000 31874450 50999120 63748900 79686125 101998240 127497800 159372250 254995600 318744500 509991200 637489000 1274978000 2549956000 5053375303 10106750606 20213501212 25266876515 40427002424 50533753030 80854004848 101067506060 126334382575 161708009696 202135012120 252668765150 404270024240 505337530300 631671912875 808540048480 1010675060600 1263343825750 2021350121200 2526687651500 4042700242400 5053375303000 10106750606000 20213501212000