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102002012102022 = 23193173395384221
BaseRepresentation
bin10111001100010100110001…
…101100101001110110000110
3111101011022000121021202022220
4113030110301230221312012
5101332200110044231042
61000535024422033210
730325254643215054
oct2714246154516606
9441138017252286
10102002012102022
112a5568a070aa9a
12b53480b578806
1344bb996500c16
141b28cd09cb1d4
15bbd48e2508ec
hex5cc531b29d86

102002012102022 has 64 divisors (see below), whose sum is σ = 224704761047040. Its totient is φ = 30745076947200.

The previous prime is 102002012101981. The next prime is 102002012102051. The reversal of 102002012102022 is 220201210200201.

102002012102022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020020121020222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102002012101992 and 102002012102010.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 197434129 + ... + 197950092.

It is an arithmetic number, because the mean of its divisors is an integer number (3511011891360).

Almost surely, 2102002012102022 is an apocalyptic number.

102002012102022 is an abundant number, since it is smaller than the sum of its proper divisors (122702748945018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102002012102022 is a wasteful number, since it uses less digits than its factorization.

102002012102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395384349.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102002012102022 its reverse (220201210200201), we get a palindrome (322203222302223).

The spelling of 102002012102022 in words is "one hundred two trillion, two billion, twelve million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 19 31 38 57 62 73 93 114 146 186 219 438 589 1178 1387 1767 2263 2774 3534 4161 4526 6789 8322 13578 42997 85994 128991 257982 395384221 790768442 1186152663 2372305326 7512300199 12256910851 15024600398 22536900597 24513821702 28863048133 36770732553 45073801194 57726096266 73541465106 86589144399 173178288798 232881306169 465762612338 548397914527 698643918507 894754492123 1096795829054 1397287837014 1645193743581 1789508984246 2684263476369 3290387487162 5368526952738 17000335350337 34000670700674 51001006051011 102002012102022