Search a number
-
+
102022010202012 = 22327240731210043
BaseRepresentation
bin10111001100100111011001…
…101011010110011110011100
3111101020012122022020111020220
4113030213121223112132130
5101333012034102431022
61000552133042441340
730326563343236425
oct2714473153263634
9441205568214226
10102022010202012
112a56432306155a
12b538670963250
1344c0832691a94
141b29c6a93a64c
15bbdc5ec4385c
hex5cc9d9ad679c

102022010202012 has 24 divisors (see below), whose sum is σ = 238052238646656. Its totient is φ = 34007210804208.

The previous prime is 102022010201983. The next prime is 102022010202037. The reversal of 102022010202012 is 210202010220201.

102022010202012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102022010201982 and 102022010202000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12336138 + ... + 18873905.

It is an arithmetic number, because the mean of its divisors is an integer number (9918843276944).

Almost surely, 2102022010202012 is an apocalyptic number.

102022010202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102022010202012 is an abundant number, since it is smaller than the sum of its proper divisors (136030228444644).

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

102022010202012 is a wasteful number, since it uses less digits than its factorization.

102022010202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31482457 (or 31482455 counting only the distinct ones).

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

Adding to 102022010202012 its reverse (210202010220201), we get a palindrome (312224020422213).

The spelling of 102022010202012 in words is "one hundred two trillion, twenty-two billion, ten million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 272407 544814 817221 1089628 1634442 3268884 31210043 62420086 93630129 124840172 187260258 374520516 8501834183501 17003668367002 25505502550503 34007336734004 51011005101006 102022010202012