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10200214321 = 1110110389137
BaseRepresentation
bin10010111111111101…
…01110101100110001
3222022212111120112121
421133332232230301
5131342223324241
64404053554241
7510525251113
oct113776565461
928285446477
1010200214321
114364833aa0
121b88045981
13c6731b19b
146ca99d3b3
153ea75aad1
hex25ffaeb31

10200214321 has 16 divisors (see below), whose sum is σ = 11346910848. Its totient is φ = 9091872000.

The previous prime is 10200214307. The next prime is 10200214327. The reversal of 10200214321 is 12341200201.

It is a cyclic number.

It is not a de Polignac number, because 10200214321 - 211 = 10200212273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10200214295 and 10200214304.

It is not an unprimeable number, because it can be changed into a prime (10200214327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69865 + ... + 159001.

It is an arithmetic number, because the mean of its divisors is an integer number (709181928).

Almost surely, 210200214321 is an apocalyptic number.

10200214321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200214321 is a deficient number, since it is larger than the sum of its proper divisors (1146696527).

10200214321 is a wasteful number, since it uses less digits than its factorization.

10200214321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89352.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10200214321 its reverse (12341200201), we get a palindrome (22541414522).

The spelling of 10200214321 in words is "ten billion, two hundred million, two hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 11 101 103 1111 1133 10403 89137 114433 980507 9002837 9181111 99031207 100992221 927292211 10200214321