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102422142 = 23229375303
BaseRepresentation
bin1100001101011…
…01011001111110
321010201120202200
412012231121332
5202210002032
614055132330
72352400554
oct606553176
9233646680
10102422142
11528a62a9
122a3740a6
13182b1124
14d861bd4
158ed247c
hex61ad67e

102422142 has 48 divisors (see below), whose sum is σ = 235815840. Its totient is φ = 32066496.

The previous prime is 102422137. The next prime is 102422149. The reversal of 102422142 is 241224201.

102422142 is a `hidden beast` number, since 102 + 422 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102422149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16663 + ... + 21965.

It is an arithmetic number, because the mean of its divisors is an integer number (4912830).

Almost surely, 2102422142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102422142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117907920).

102422142 is an abundant number, since it is smaller than the sum of its proper divisors (133393698).

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

102422142 is a wasteful number, since it uses less digits than its factorization.

102422142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102422142 is about 10120.3825026528. The cubic root of 102422142 is about 467.8765563093.

Adding to 102422142 its reverse (241224201), we get a palindrome (343646343).

The spelling of 102422142 in words is "one hundred two million, four hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 666 1073 2146 3219 5303 6438 9657 10606 15909 19314 31818 47727 95454 153787 196211 307574 392422 461361 588633 922722 1177266 1384083 1765899 2768166 3531798 5690119 11380238 17070357 34140714 51211071 102422142