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102215343321 = 327131275231879
BaseRepresentation
bin101111100110010000…
…0100101110011011001
3100202211120012102222100
41133030200211303121
53133314111441241
6114542421314013
710245664040250
oct1371440456331
9322746172870
10102215343321
113a392995353
1217987865909
13983c783a90
144d39373797
1529d39879b6
hex17cc825cd9

102215343321 has 96 divisors (see below), whose sum is σ = 183594844160. Its totient is φ = 53360560512.

The previous prime is 102215343317. The next prime is 102215343331. The reversal of 102215343321 is 123343512201.

102215343321 is a `hidden beast` number, since 1 + 0 + 221 + 5 + 3 + 433 + 2 + 1 = 666.

It is not a de Polignac number, because 102215343321 - 22 = 102215343317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102215343331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54397860 + ... + 54399738.

Almost surely, 2102215343321 is an apocalyptic number.

It is an amenable number.

102215343321 is a deficient number, since it is larger than the sum of its proper divisors (81379500839).

102215343321 is a wasteful number, since it uses less digits than its factorization.

102215343321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 102215343321 its reverse (123343512201), we get a palindrome (225558855522).

The spelling of 102215343321 in words is "one hundred two billion, two hundred fifteen million, three hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 127 273 381 523 819 889 1143 1569 1651 1879 2667 3661 4707 4953 5637 6799 8001 10983 11557 13153 14859 16911 20397 24427 32949 34671 39459 47593 61191 66421 73281 104013 118377 142779 170989 199263 219843 238633 428337 464947 512967 597789 715899 863473 982717 1394841 1538901 1670431 2147697 2590419 2948151 3102229 4184523 5011293 6044311 6879019 7771257 8844453 9306687 12775321 15033879 18132933 20637057 21715603 27920061 38325963 54398799 61911171 65146809 89427247 114977889 124805059 195440427 268281741 374415177 804845223 873635413 1123245531 1622465767 2620906239 4867397301 7862718717 11357260369 14602191903 34071781107 102215343321