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102011033221 = 17314137912457
BaseRepresentation
bin101111100000001010…
…1001101011010000101
3100202022022202102012121
41133000111031122011
53132404311030341
6114510242245541
710240633322056
oct1370025153205
9322268672177
10102011033221
113a298629129
121792b3568b1
13980934aa26
144d1a18c72d
1529c0a7b4d1
hex17c054d685

102011033221 has 32 divisors (see below), whose sum is σ = 114525895680. Its totient is φ = 90400665600.

The previous prime is 102011033207. The next prime is 102011033233. The reversal of 102011033221 is 122330110201.

It is a cyclic number.

It is not a de Polignac number, because 102011033221 - 213 = 102011025029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011033195 and 102011033204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011030221) 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, 8182825 + ... + 8195281.

It is an arithmetic number, because the mean of its divisors is an integer number (3578934240).

Almost surely, 2102011033221 is an apocalyptic number.

It is an amenable number.

102011033221 is a deficient number, since it is larger than the sum of its proper divisors (12514862459).

102011033221 is a wasteful number, since it uses less digits than its factorization.

102011033221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102011033221 its reverse (122330110201), we get a palindrome (224341143422).

The spelling of 102011033221 in words is "one hundred two billion, eleven million, thirty-three thousand, two hundred twenty-one".

Divisors: 1 17 31 41 379 527 697 1271 6443 11749 12457 15539 21607 199733 211769 264163 386167 481709 510737 4721203 6564839 8189053 8682529 15832847 80260451 146357293 193569323 269158399 2488073981 3290678491 6000649013 102011033221