Search a number
-
+
11021002120000 = 2654275525053
BaseRepresentation
bin1010000001100000011011…
…1010101001101101000000
31110000121010120211220202201
42200120012322221231000
52421032003020320000
635234551203522544
72215145464231015
oct240300672515500
943017116756681
1011021002120000
113569a8741a584
12129bb3b389454
1361c3785cbab2
142a15c299b70c
15141a353c496a
hexa0606ea9b40

11021002120000 has 70 divisors (see below), whose sum is σ = 27328503531098. Its totient is φ = 4408400832000.

The previous prime is 11021002119997. The next prime is 11021002120019. The reversal of 11021002120000 is 2120012011.

It can be written as a sum of positive squares in 5 ways, for example, as 4323837819456 + 6697164300544 = 2079384^2 + 2587888^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 137722527 + ... + 137802526.

Almost surely, 211021002120000 is an apocalyptic number.

11021002120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11021002120000 is an abundant number, since it is smaller than the sum of its proper divisors (16307501411098).

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

11021002120000 is an frugal number, since it uses more digits than its factorization.

11021002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275525085 (or 275525060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11021002120000 its reverse (2120012011), we get a palindrome (11023122132011).

The spelling of 11021002120000 in words is "eleven trillion, twenty-one billion, two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 275525053 551050106 1102100212 1377625265 2204200424 2755250530 4408400848 5510501060 6888126325 8816801696 11021002120 13776252650 17633603392 22042004240 27552505300 34440631625 44084008480 55105010600 68881263250 88168016960 110210021200 137762526500 172203158125 220420042400 275525053000 344406316250 440840084800 551050106000 688812632500 1102100212000 1377625265000 2204200424000 2755250530000 5510501060000 11021002120000