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101141345142 = 234624329291
BaseRepresentation
bin101111000110001111…
…1100111001101110110
3100200001201021200110000
41132030133213031312
53124114141021032
6114244054012130
710210243151235
oct1361437471566
9320051250400
10101141345142
113999171a652
1217728047046
1396cb1082b6
144c76882b1c
15296e53ae7c
hex178c7e7376

101141345142 has 20 divisors (see below), whose sum is σ = 226631532996. Its totient is φ = 33713781660.

The previous prime is 101141345131. The next prime is 101141345171. The reversal of 101141345142 is 241543141101.

It is a happy number.

101141345142 is a `hidden beast` number, since 1 + 0 + 1 + 14 + 134 + 514 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 312164484 + ... + 312164807.

Almost surely, 2101141345142 is an apocalyptic number.

101141345142 is an abundant number, since it is smaller than the sum of its proper divisors (125490187854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101141345142 is an equidigital number, since it uses as much as digits as its factorization.

101141345142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624329305 (or 624329296 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 101141345142 its reverse (241543141101), we get a palindrome (342684486243).

The spelling of 101141345142 in words is "one hundred one billion, one hundred forty-one million, three hundred forty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 624329291 1248658582 1872987873 3745975746 5618963619 11237927238 16856890857 33713781714 50570672571 101141345142