Search a number
-
+
10042343311231 = 711692031884601
BaseRepresentation
bin1001001000100010101001…
…0011100100011101111111
31022120001001011122100000201
42102020222103210131333
52304013204341424411
633205215553104331
72054351425505260
oct222105223443577
938501034570021
1010042343311231
113221a2aaa5510
1211623345580a7
1357acb183897a
1426a0a2a00967
151263575043c1
hex9222a4e477f

10042343311231 has 16 divisors (see below), whose sum is σ = 12520511693568. Its totient is φ = 7825085352000.

The previous prime is 10042343311201. The next prime is 10042343311243. The reversal of 10042343311231 is 13211334324001.

10042343311231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10042343311231 - 29 = 10042343310719 is a prime.

It is a super-2 number, since 2×100423433112312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10042343311231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042343311201) 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, 4386331 + ... + 6270931.

It is an arithmetic number, because the mean of its divisors is an integer number (782531980848).

Almost surely, 210042343311231 is an apocalyptic number.

10042343311231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10042343311231 is a deficient number, since it is larger than the sum of its proper divisors (2478168382337).

10042343311231 is a wasteful number, since it uses less digits than its factorization.

10042343311231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953822.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 10042343311231 its reverse (13211334324001), we get a palindrome (23253677635232).

The spelling of 10042343311231 in words is "ten trillion, forty-two billion, three hundred forty-three million, three hundred eleven thousand, two hundred thirty-one".

Divisors: 1 7 11 77 69203 484421 761233 1884601 5328631 13192207 20730611 145114277 130420043003 912940301021 1434620473033 10042343311231