Search a number
-
+
102002102012022 = 23176073164666657
BaseRepresentation
bin10111001100010100110111…
…000011101000100001110110
3111101011022020212110122122220
4113030110313003220201312
5101332200301103341042
61000535041353103210
730325260114354252
oct2714246703504166
9441138225418586
10102002102012022
112a55693743a783
12b5348356b7b06
1344bb9ac020bc4
141b28cdc913262
15bbd4970b08ec
hex5cc5370e8876

102002102012022 has 32 divisors (see below), whose sum is σ = 216040020629472. Its totient is φ = 31995389927424.

The previous prime is 102002102012011. The next prime is 102002102012047. The reversal of 102002102012022 is 220210201200201.

It is a junction number, because it is equal to n+sod(n) for n = 102002102011992 and 102002102012010.

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 15 ways as a sum of consecutive naturals, for example, 81713883 + ... + 82952774.

It is an arithmetic number, because the mean of its divisors is an integer number (6751250644671).

Almost surely, 2102002102012022 is an apocalyptic number.

102002102012022 is an abundant number, since it is smaller than the sum of its proper divisors (114037918617450).

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

102002102012022 is a wasteful number, since it uses less digits than its factorization.

102002102012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164672752.

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

Adding to 102002102012022 its reverse (220210201200201), we get a palindrome (322212303212223).

The spelling of 102002102012022 in words is "one hundred two trillion, two billion, one hundred two million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 17 34 51 102 6073 12146 18219 36438 103241 206482 309723 619446 164666657 329333314 493999971 987999942 2799333169 5598666338 8397999507 16795999014 1000020607961 2000041215922 3000061823883 6000123647766 17000350335337 34000700670674 51001051006011 102002102012022