Search a number
-
+
1100021000211 = 327376154714143
BaseRepresentation
bin10000000000011110010…
…111000110100000010011
310220011100100120200121100
4100000132113012200103
5121010320334001321
62201202003355443
7142321355140440
oct20003627064023
93804310520540
101100021000211
113945751a4841
12159236982b83
137c96824ba33
143b3541b29c7
151d93274d326
hex1001e5c6813

1100021000211 has 96 divisors (see below), whose sum is σ = 1899159461888. Its totient is φ = 600426328320.

The previous prime is 1100021000201. The next prime is 1100021000231. The reversal of 1100021000211 is 1120001200011.

It is a happy number.

It is not a de Polignac number, because 1100021000211 - 226 = 1099953891347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100021000193 and 1100021000202.

It is not an unprimeable number, because it can be changed into a prime (1100021000201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77771406 + ... + 77785548.

Almost surely, 21100021000211 is an apocalyptic number.

1100021000211 is a deficient number, since it is larger than the sum of its proper divisors (799138461677).

1100021000211 is a wasteful number, since it uses less digits than its factorization.

1100021000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14801 (or 14798 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100021000211 its reverse (1120001200011), we get a palindrome (2220022200222).

The spelling of 1100021000211 in words is "one trillion, one hundred billion, twenty-one million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 7 9 21 37 61 63 111 183 259 333 427 547 549 777 1281 1641 2257 2331 3829 3843 4923 6771 11487 14143 15799 20239 20313 33367 34461 42429 47397 60717 99001 100101 127287 141673 142191 182151 233569 297003 300303 425019 523291 700707 862723 891009 1234579 1275057 1569873 2102121 2588169 3663037 3703737 4709619 6039061 7736221 7764507 8642053 10989111 11111211 18117183 23208663 25926159 31920751 32967333 54153547 54351549 69625989 77778477 95762253 162460641 223445257 286240177 287286759 471909481 487381923 670335771 858720531 1415728443 2003681239 2011007313 2576161593 3303366367 4247185329 6011043717 9910099101 17460650797 18033131151 29730297303 52381952391 122224555579 157145857173 366673666737 1100021000211