Search a number
-
+
4342301210031 = 3171937593920393
BaseRepresentation
bin111111001100000101010…
…100100011010110101111
3120101010020102210211212220
4333030011110203112233
51032121013102210111
613122454200530423
7625502162200431
oct77140524432657
916333212724786
104342301210031
111424617914084
125a1697a80a13
13256628686725
14110250514651
1577e471b0e06
hex3f3055235af

4342301210031 has 64 divisors (see below), whose sum is σ = 6628800499200. Its totient is φ = 2510874464256.

The previous prime is 4342301209943. The next prime is 4342301210057. The reversal of 4342301210031 is 1300121032434.

It is a happy number.

4342301210031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4342301210031 - 211 = 4342301207983 is a prime.

It is a super-2 number, since 2×43423012100312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4342301209983 and 4342301210010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342301210131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 212920771 + ... + 212941163.

It is an arithmetic number, because the mean of its divisors is an integer number (103575007800).

Almost surely, 24342301210031 is an apocalyptic number.

4342301210031 is a deficient number, since it is larger than the sum of its proper divisors (2286499289169).

4342301210031 is a wasteful number, since it uses less digits than its factorization.

4342301210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26408.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4342301210031 its reverse (1300121032434), we get a palindrome (5642422242465).

The spelling of 4342301210031 in words is "four trillion, three hundred forty-two billion, three hundred one million, two hundred ten thousand, thirty-one".

Divisors: 1 3 17 19 37 51 57 111 323 629 703 969 1887 2109 5939 11951 17817 20393 35853 61179 100963 112841 219743 302889 338523 346681 387467 659229 754541 1040043 1162401 1918297 2263623 3735631 4175117 5754891 6586939 11206893 12525351 12827197 14336279 19760817 38481591 43008837 70976989 121114027 212930967 243716743 363342081 731150229 2058938459 2301166513 4481218999 6176815377 6903499539 13443656997 39119830721 76180722983 85143160981 117359492163 228542168949 255429482943 1447433736677 4342301210031