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1000221101011 = 112237118127967
BaseRepresentation
bin11101000111000011101…
…00101100101111010011
310112121202010110112001101
432203201310230233103
5112341423100213021
62043254545245231
7132156261036256
oct16434164545723
93477663415041
101000221101011
11356211810400
12141a24033817
1373422030442
14365a795d09d
151b040d8ca91
hexe8e1d2cbd3

1000221101011 has 48 divisors (see below), whose sum is σ = 1169844609024. Its totient is φ = 852739272000.

The previous prime is 1000221100961. The next prime is 1000221101029. The reversal of 1000221101011 is 1101011220001.

It is not a de Polignac number, because 1000221101011 - 27 = 1000221100883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000221101041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35750350 + ... + 35778316.

It is an arithmetic number, because the mean of its divisors is an integer number (24371762688).

Almost surely, 21000221101011 is an apocalyptic number.

1000221101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000221101011 is a deficient number, since it is larger than the sum of its proper divisors (169623508013).

1000221101011 is a wasteful number, since it uses less digits than its factorization.

1000221101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28264 (or 28253 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1000221101011 its reverse (1101011220001), we get a palindrome (2101232321012).

The spelling of 1000221101011 in words is "one trillion, two hundred twenty-one million, one hundred one thousand, eleven".

Divisors: 1 11 23 71 121 181 253 781 1633 1991 2783 4163 8591 12851 17963 21901 27967 45793 141361 197593 295573 307637 503723 643241 1554971 1985657 3251303 3384007 5062027 7075651 21842227 35764333 45670111 55682297 77832161 116426621 240264497 359403917 502371221 612505267 1280692831 3953443087 5526083431 8266290091 14087621141 43487873957 90929191001 1000221101011