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102202221 = 31179197199
BaseRepresentation
bin1100001011101…
…11101101101101
321010022102002110
412011313231231
5202130432341
614050314233
72350463442
oct605675555
9233272073
10102202221
1152766050
122a288979
1318234cb4
14d8059c9
158e8c216
hex6177b6d

102202221 has 32 divisors (see below), whose sum is σ = 152064000. Its totient is φ = 60540480.

The previous prime is 102202211. The next prime is 102202223. The reversal of 102202221 is 122202201.

It is not a de Polignac number, because 102202221 - 25 = 102202189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102202197 and 102202206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202223) 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, 513480 + ... + 513678.

It is an arithmetic number, because the mean of its divisors is an integer number (4752000).

Almost surely, 2102202221 is an apocalyptic number.

102202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202221 is a deficient number, since it is larger than the sum of its proper divisors (49861779).

102202221 is a wasteful number, since it uses less digits than its factorization.

102202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102202221 is about 10109.5114125263. The cubic root of 102202221 is about 467.5414412252.

Adding to 102202221 its reverse (122202201), we get a palindrome (224404422).

The spelling of 102202221 in words is "one hundred two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 79 197 199 237 591 597 869 2167 2189 2607 6501 6567 15563 15721 39203 46689 47163 117609 171193 172931 431233 513579 518793 1293699 3097037 9291111 34067407 102202221