Search a number
-
+
1002121112022 = 234127115031967
BaseRepresentation
bin11101001010100110001…
…00101010100111010110
310112210122112200002011120
432211103010222213112
5112404321001041042
62044211301144410
7132254331623052
oct16452304524726
93483575602146
101002121112022
11356aa7273838
121422743bb106
1373665869004
143670802ac62
151b102a9ddec
hexe95312a9d6

1002121112022 has 32 divisors (see below), whose sum is σ = 2060702429184. Its totient is φ = 324690465600.

The previous prime is 1002121111997. The next prime is 1002121112029. The reversal of 1002121112022 is 2202111212001.

1002121112022 is digitally balanced in base 2, 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 = 1002121111992 and 1002121112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002121112029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7449318 + ... + 7582649.

It is an arithmetic number, because the mean of its divisors is an integer number (64396950912).

Almost surely, 21002121112022 is an apocalyptic number.

1002121112022 is an abundant number, since it is smaller than the sum of its proper divisors (1058581317162).

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

1002121112022 is a wasteful number, since it uses less digits than its factorization.

1002121112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15032284.

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

Adding to 1002121112022 its reverse (2202111212001), we get a palindrome (3204232324023).

The spelling of 1002121112022 in words is "one trillion, two billion, one hundred twenty-one million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 41 82 123 246 271 542 813 1626 11111 22222 33333 66666 15031967 30063934 45095901 90191802 616310647 1232621294 1848931941 3697863882 4073663057 8147326114 12220989171 24441978342 167020185337 334040370674 501060556011 1002121112022