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10220321001 = 3111718218041
BaseRepresentation
bin10011000010010110…
…11011100011101001
3222101021100002201110
421201023123203221
5131412400233001
64410052540533
7511161203142
oct114113334351
928337302643
1010220321001
114375117490
121b92921749
13c6b53b027
146cd514ac9
153ec3cd3d6
hex2612db8e9

10220321001 has 16 divisors (see below), whose sum is σ = 15740388288. Its totient is φ = 5829772800.

The previous prime is 10220320987. The next prime is 10220321051. The reversal of 10220321001 is 10012302201.

10220321001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10220321001 is a prime.

It is a super-2 number, since 2×102203210012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10220321051) 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, 9108460 + ... + 9109581.

It is an arithmetic number, because the mean of its divisors is an integer number (983774268).

Almost surely, 210220321001 is an apocalyptic number.

10220321001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220321001 is a deficient number, since it is larger than the sum of its proper divisors (5520067287).

10220321001 is a wasteful number, since it uses less digits than its factorization.

10220321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18218072.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10220321001 its reverse (10012302201), we get a palindrome (20232623202).

The spelling of 10220321001 in words is "ten billion, two hundred twenty million, three hundred twenty-one thousand, one".

Divisors: 1 3 11 17 33 51 187 561 18218041 54654123 200398451 309706697 601195353 929120091 3406773667 10220321001