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8102202322101 = 3298310328138767
BaseRepresentation
bin111010111100111000011…
…1001000010110010110101
31001200120012102002022002020
41311321300321002302311
52030221302243301401
625122033402303353
71464236061264666
oct165716071026265
931616172068066
108102202322101
112644140a94548
12aaa3171b7b59
1346a05a769174
14200211dc336d
15e0b546c9d36
hex75e70e42cb5

8102202322101 has 64 divisors (see below), whose sum is σ = 11460838072320. Its totient is φ = 5084064760320.

The previous prime is 8102202322091. The next prime is 8102202322111. The reversal of 8102202322101 is 1012232022018.

It is an interprime number because it is at equal distance from previous prime (8102202322091) and next prime (8102202322111).

It is not a de Polignac number, because 8102202322101 - 29 = 8102202321589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102202322111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208978020 + ... + 209016786.

It is an arithmetic number, because the mean of its divisors is an integer number (179075594880).

Almost surely, 28102202322101 is an apocalyptic number.

It is an amenable number.

8102202322101 is a deficient number, since it is larger than the sum of its proper divisors (3358635750219).

8102202322101 is a wasteful number, since it uses less digits than its factorization.

8102202322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39266.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 8102202322101 its reverse (1012232022018), we get a palindrome (9114434344119).

The spelling of 8102202322101 in words is "eight trillion, one hundred two billion, two hundred two million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 3 29 83 87 103 249 281 309 843 2407 2987 7221 8149 8549 8961 23323 24447 25647 28943 38767 69969 86829 116301 247921 676367 743763 839347 1124243 2029101 2402269 2518041 3217661 3372729 3993001 7206807 9652983 10893527 11979003 32680581 69665801 93312169 115797029 208997403 279936507 315912283 331419083 347391087 904162741 947736849 994257249 1122033281 2712488223 3366099843 9611153407 26220719489 28833460221 32538965149 78662158467 93128762323 97616895447 279386286969 2700734107367 8102202322101