Search a number
-
+
2042322234141 = 37792335283503
BaseRepresentation
bin11101101110000011111…
…001000010101100011101
321020020120221121002211110
4131232003321002230131
5231430133442443031
64202121353212233
7300360435362550
oct35560371025435
97206527532743
102042322234141
117181647267a2
1228b995701079
1311a789775077
1470bc5636697
15381d37c8c46
hex1db83e42b1d

2042322234141 has 32 divisors (see below), whose sum is σ = 3165030236160. Its totient is φ = 1147323026304.

The previous prime is 2042322234077. The next prime is 2042322234151. The reversal of 2042322234141 is 1414322232402.

It is not a de Polignac number, because 2042322234141 - 26 = 2042322234077 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2042322234099 and 2042322234108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042322234151) 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, 2255205 + ... + 3028298.

It is an arithmetic number, because the mean of its divisors is an integer number (98907194880).

Almost surely, 22042322234141 is an apocalyptic number.

2042322234141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2042322234141 is a deficient number, since it is larger than the sum of its proper divisors (1122708002019).

2042322234141 is a wasteful number, since it uses less digits than its factorization.

2042322234141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283825.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2042322234141 its reverse (1414322232402), we get a palindrome (3456644466543).

The spelling of 2042322234141 in words is "two trillion, forty-two billion, three hundred twenty-two million, two hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 7 21 79 233 237 553 699 1631 1659 4893 18407 55221 128849 386547 5283503 15850509 36984521 110953563 417396737 1231056199 1252190211 2921777159 3693168597 8617393393 8765331477 25852180179 97253439721 291760319163 680774078047 2042322234141