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1002221200211 = 711107263631733
BaseRepresentation
bin11101001010110010000…
…10011110001101010011
310112210220112000002100112
432211121002132031103
5112410022111401321
62044225234311535
7132256655433260
oct16453102361523
93483815002315
101002221200211
11357048815550
121422a1a285ab
13736805109aa
1436717442267
151b10b76ea5b
hexe95909e353

1002221200211 has 64 divisors (see below), whose sum is σ = 1269731966976. Its totient is φ = 768440131200.

The previous prime is 1002221200207. The next prime is 1002221200217. The reversal of 1002221200211 is 1120021222001.

1002221200211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002221200211 - 22 = 1002221200207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002221200217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1367286401 + ... + 1367287133.

It is an arithmetic number, because the mean of its divisors is an integer number (19839561984).

Almost surely, 21002221200211 is an apocalyptic number.

1002221200211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002221200211 is a deficient number, since it is larger than the sum of its proper divisors (267510766765).

1002221200211 is a wasteful number, since it uses less digits than its factorization.

1002221200211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002221200211 its reverse (1120021222001), we get a palindrome (2122242422212).

The spelling of 1002221200211 in words is "one trillion, two billion, two hundred twenty-one million, two hundred thousand, two hundred eleven".

Divisors: 1 7 11 77 107 263 631 733 749 1177 1841 2893 4417 5131 6941 8063 8239 20251 28141 48587 56441 67517 78431 165953 192779 196987 309551 462523 472619 549017 742687 862741 1161671 1349453 1825483 2120569 2166857 3237661 5087753 5198809 6039187 12778381 14843983 17756971 20627353 35614271 49489961 121643549 124298797 144391471 195326681 226900883 346429727 544389571 851504843 1338079039 1367286767 1588306181 3810726997 9366553273 13015859743 91111018201 143174457173 1002221200211