Search a number
-
+
10042120142423 = 3126310271119921
BaseRepresentation
bin1001001000100001110100…
…0000001111111001010111
31022120000110121201011222022
42102020131000033321113
52304012230224024143
633205141501523355
72054343045553325
oct222103500177127
938500417634868
1010042120142423
113221926028486
12116229187355b
1357ac7752bb15
1426a08110ad15
15126342b20268
hex9221d00fe57

10042120142423 has 16 divisors (see below), whose sum is σ = 10406574047232. Its totient is φ = 9680206224000.

The previous prime is 10042120142393. The next prime is 10042120142449. The reversal of 10042120142423 is 32424102124001.

It is a cyclic number.

It is not a de Polignac number, because 10042120142423 - 220 = 10042119093847 is a prime.

It is a super-3 number, since 3×100421201424233 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10042120142392 and 10042120142401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042120142473) 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, 83679503 + ... + 83799423.

It is an arithmetic number, because the mean of its divisors is an integer number (650410877952).

Almost surely, 210042120142423 is an apocalyptic number.

10042120142423 is a deficient number, since it is larger than the sum of its proper divisors (364453904809).

10042120142423 is a wasteful number, since it uses less digits than its factorization.

10042120142423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130486.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10042120142423 its reverse (32424102124001), we get a palindrome (42466222266424).

The spelling of 10042120142423 in words is "ten trillion, forty-two billion, one hundred twenty million, one hundred forty-two thousand, four hundred twenty-three".

Divisors: 1 31 263 8153 10271 119921 318401 2701273 3717551 31539223 83739463 977715913 1231708591 38182966321 323939359433 10042120142423