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10220002011 = 331013373661
BaseRepresentation
bin10011000010010100…
…01101101011011011
3222101020201220011000
421201022031223123
5131412310031021
64410042040043
7511155404142
oct114112155333
928336656130
1010220002011
114374a1985a
121b927a9023
13c6b458a8b
146cd470759
153ec368b26
hex26128dadb

10220002011 has 16 divisors (see below), whose sum is σ = 15155730720. Its totient is φ = 6806590560.

The previous prime is 10220001989. The next prime is 10220002019. The reversal of 10220002011 is 11020002201.

10220002011 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 10220002011 - 26 = 10220001947 is a prime.

It is a super-2 number, since 2×102200020112 (a number of 21 digits) contains 22 as substring.

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 = 10220001984 and 10220002002.

It is not an unprimeable number, because it can be changed into a prime (10220002019) 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 15 ways as a sum of consecutive naturals, for example, 159480 + ... + 214181.

It is an arithmetic number, because the mean of its divisors is an integer number (947233170).

Almost surely, 210220002011 is an apocalyptic number.

10220002011 is a deficient number, since it is larger than the sum of its proper divisors (4935728709).

10220002011 is a wasteful number, since it uses less digits than its factorization.

10220002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374683 (or 374677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10220002011 its reverse (11020002201), we get a palindrome (21240004212).

The spelling of 10220002011 in words is "ten billion, two hundred twenty million, two thousand, eleven".

Divisors: 1 3 9 27 1013 3039 9117 27351 373661 1120983 3362949 10088847 378518593 1135555779 3406667337 10220002011