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141102126 = 232112412957
BaseRepresentation
bin10000110100100…
…00110000101110
3100211111201201200
420122100300232
5242110232001
622000150330
73332230314
oct1032206056
9324451650
10141102126
1172715130
123b3083a6
1323304ba9
1414a500b4
15c5c3086
hex8690c2e

141102126 has 48 divisors (see below), whose sum is σ = 335011248. Its totient is φ = 42566400.

The previous prime is 141102121. The next prime is 141102149. The reversal of 141102126 is 621201141.

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

It is a junction number, because it is equal to n+sod(n) for n = 141102099 and 141102108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46240 + ... + 49196.

It is an arithmetic number, because the mean of its divisors is an integer number (6979401).

Almost surely, 2141102126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141102126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167505624).

141102126 is an abundant number, since it is smaller than the sum of its proper divisors (193909122).

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

141102126 is a wasteful number, since it uses less digits than its factorization.

141102126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 141102126 is about 11878.6415890033. The cubic root of 141102126 is about 520.6084175377.

Adding to 141102126 its reverse (621201141), we get a palindrome (762303267).

The spelling of 141102126 in words is "one hundred forty-one million, one hundred two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 241 482 723 1446 2169 2651 2957 4338 5302 5914 7953 8871 15906 17742 23859 26613 32527 47718 53226 65054 97581 195162 292743 585486 712637 1425274 2137911 4275822 6413733 7839007 12827466 15678014 23517021 47034042 70551063 141102126