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10002201111 = 337163324673
BaseRepresentation
bin10010101000010110…
…10111101000010111
3221211001220110111000
421110023113220113
5130441030413421
64332301514343
7502602210120
oct112413275027
927731813430
1010002201111
114272a88811
121b318729b3
13c352ab2c6
146ac577047
153d8195226
hex2542d7a17

10002201111 has 32 divisors (see below), whose sum is σ = 17038891520. Its totient is φ = 5680461312.

The previous prime is 10002201091. The next prime is 10002201133. The reversal of 10002201111 is 11110220001.

It is a happy number.

10002201111 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 10002201111 - 26 = 10002201047 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10002201093 and 10002201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002201151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 131530 + ... + 193143.

It is an arithmetic number, because the mean of its divisors is an integer number (532465360).

Almost surely, 210002201111 is an apocalyptic number.

10002201111 is a deficient number, since it is larger than the sum of its proper divisors (7036690409).

10002201111 is a wasteful number, since it uses less digits than its factorization.

10002201111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324852 (or 324846 counting only the distinct ones).

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

Adding to 10002201111 its reverse (11110220001), we get a palindrome (21112421112).

The spelling of 10002201111 in words is "ten billion, two million, two hundred one thousand, one hundred eleven".

Divisors: 1 3 7 9 21 27 63 163 189 489 1141 1467 3423 4401 10269 30807 324673 974019 2272711 2922057 6818133 8766171 20454399 52921699 61363197 158765097 370451893 476295291 1111355679 1428885873 3334067037 10002201111