Search a number
-
+
2002111112022 = 237412269271389
BaseRepresentation
bin11101001000100111000…
…111110010001101010110
321002101210120021110020020
4131020213013302031112
5230300310421041042
64131431313250010
7264435115442430
oct35104707621526
97071716243206
102002111112022
117020aa58956a
12284032b63906
13116a4ba42c98
146cc8cdcd650
153712d4dc3ec
hex1d2271f2356

2002111112022 has 192 divisors, whose sum is σ = 4737549772800. Its totient is φ = 552529382400.

The previous prime is 2002111111993. The next prime is 2002111112081. The reversal of 2002111112022 is 2202111112002.

It is a junction number, because it is equal to n+sod(n) for n = 2002111111992 and 2002111112010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5146815004 + ... + 5146815392.

It is an arithmetic number, because the mean of its divisors is an integer number (24674738400).

Almost surely, 22002111112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002111112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368774886400).

2002111112022 is an abundant number, since it is smaller than the sum of its proper divisors (2735438660778).

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

2002111112022 is a wasteful number, since it uses less digits than its factorization.

2002111112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2002111112022 its reverse (2202111112002), we get a palindrome (4204222224024).

The spelling of 2002111112022 in words is "two trillion, two billion, one hundred eleven million, one hundred twelve thousand, twenty-two".