Search a number
-
+
2102003003022 = 2313231609728207
BaseRepresentation
bin11110100101101001001…
…001000110111010001110
321102221122012111021210220
4132211221021012322032
5233414400232044042
64245351415212210
7304602410503356
oct36455111067216
97387565437726
102102003003022
117404aa99478a
1229b470677066
131232ab02ccb0
1473a4794bb66
1539a27ebe8ec
hex1e969246e8e

2102003003022 has 64 divisors (see below), whose sum is σ = 4727176796160. Its totient is φ = 618264370944.

The previous prime is 2102003002993. The next prime is 2102003003027. The reversal of 2102003003022 is 2203003002012.

It is a super-2 number, since 2×21020030030222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102003002992 and 2102003003010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102003003027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2522443 + ... + 3250649.

It is an arithmetic number, because the mean of its divisors is an integer number (73862137440).

Almost surely, 22102003003022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102003003022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363588398080).

2102003003022 is an abundant number, since it is smaller than the sum of its proper divisors (2625173793138).

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

2102003003022 is a wasteful number, since it uses less digits than its factorization.

2102003003022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729857.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2102003003022 its reverse (2203003002012), we get a palindrome (4305006005034).

The spelling of 2102003003022 in words is "two trillion, one hundred two billion, three million, three thousand, twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1609 1794 3218 4827 9654 20917 37007 41834 62751 74014 111021 125502 222042 481091 728207 962182 1443273 1456414 2184621 2886546 4369242 9466691 16748761 18933382 28400073 33497522 50246283 56800146 100492566 217733893 435467786 653201679 1171685063 1306403358 2343370126 3515055189 7030110378 15231905819 26948756449 30463811638 45695717457 53897512898 80846269347 91391434914 161692538694 350333833837 700667667674 1051001501511 2102003003022