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102122223320985 = 3577128348404549
BaseRepresentation
bin10111001110000100101110…
…110110000011111110011001
3111101120210022022220101202220
4113032010232312003332121
5101341132303132232420
61001110145101414253
730340041615552150
oct2716045666037631
9441523268811686
10102122223320985
112a5a287882003a
12b553b79b6a389
1344ca11339cc0a
141b30a55dd6597
15bc1677a29840
hex5ce12ed83f99

102122223320985 has 64 divisors (see below), whose sum is σ = 190037037772800. Its totient is φ = 45864277320960.

The previous prime is 102122223320983. The next prime is 102122223321011. The reversal of 102122223320985 is 589023322221201.

It is not a de Polignac number, because 102122223320985 - 21 = 102122223320983 is a prime.

It is a super-2 number, since 2×1021222233209852 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102122223320983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22092510 + ... + 26312039.

It is an arithmetic number, because the mean of its divisors is an integer number (2969328715200).

Almost surely, 2102122223320985 is an apocalyptic number.

102122223320985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102122223320985 is a deficient number, since it is larger than the sum of its proper divisors (87914814451815).

102122223320985 is a wasteful number, since it uses less digits than its factorization.

102122223320985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48404918.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 102122223320985 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty-three million, three hundred twenty thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 71 105 213 283 355 497 849 1065 1415 1491 1981 2485 4245 5943 7455 9905 20093 29715 60279 100465 140651 301395 421953 703255 2109765 48404549 145213647 242022745 338831843 726068235 1016495529 1694159215 3436722979 5082477645 10310168937 13698487367 17183614895 24057060853 41095462101 51550844685 68492436835 72171182559 95889411569 120285304265 205477310505 287668234707 360855912795 479447057845 972592603057 1438341173535 2917777809171 4862963015285 6808148221399 14588889045855 20424444664197 34040741106995 102122223320985