Search a number
-
+
142122123 = 321121310039
BaseRepresentation
bin10000111100010…
…01110010001011
3100220102112220100
420132021302023
5242340401443
622034100443
73344006133
oct1036116213
9326375810
10142122123
1173251500
123b71a723
13235a1240
1414c37ac3
15c7253d3
hex8789c8b

142122123 has 36 divisors (see below), whose sum is σ = 243028240. Its totient is φ = 79500960.

The previous prime is 142122107. The next prime is 142122161. The reversal of 142122123 is 321221241.

It is a happy number.

142122123 is a `hidden beast` number, since 1 + 421 + 221 + 23 = 666.

It is not a de Polignac number, because 142122123 - 24 = 142122107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142122096 and 142122105.

It is not an unprimeable number, because it can be changed into a prime (142122163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9138 + ... + 19176.

Almost surely, 2142122123 is an apocalyptic number.

142122123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

142122123 is a deficient number, since it is larger than the sum of its proper divisors (100906117).

142122123 is a wasteful number, since it uses less digits than its factorization.

142122123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080 (or 10066 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 142122123 is about 11921.4983538144. The cubic root of 142122123 is about 521.8598624125.

Adding to 142122123 its reverse (321221241), we get a palindrome (463343364).

It can be divided in two parts, 142 and 122123, that added together give a triangular number (122265 = T494).

The spelling of 142122123 in words is "one hundred forty-two million, one hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1573 4719 10039 14157 30117 90351 110429 130507 331287 391521 993861 1174563 1214719 1435577 3644157 4306731 10932471 12920193 15791347 47374041 142122123