Search a number
-
+
134101242 = 232114116519
BaseRepresentation
bin1111111111000…
…11100011111010
3100100100001022200
413333203203322
5233312214432
621150131030
73215561502
oct777434372
9310301280
10134101242
1169773280
1238ab0a76
1321a23462
1413b4aa02
15bb8da7c
hex7fe38fa

134101242 has 48 divisors (see below), whose sum is σ = 324717120. Its totient is φ = 39643200.

The previous prime is 134101229. The next prime is 134101243. The reversal of 134101242 is 242101431.

134101242 is a `hidden beast` number, since 13 + 410 + 1 + 242 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (134101243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142 + ... + 16377.

It is an arithmetic number, because the mean of its divisors is an integer number (6764940).

Almost surely, 2134101242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134101242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162358560).

134101242 is an abundant number, since it is smaller than the sum of its proper divisors (190615878).

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

134101242 is a wasteful number, since it uses less digits than its factorization.

134101242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16579 (or 16576 counting only the distinct ones).

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

The square root of 134101242 is about 11580.2090654703. The cubic root of 134101242 is about 511.8518375203.

Adding to 134101242 its reverse (242101431), we get a palindrome (376202673).

The spelling of 134101242 in words is "one hundred thirty-four million, one hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 16519 33038 49557 99114 148671 181709 297342 363418 545127 677279 1090254 1354558 1635381 2031837 3270762 4063674 6095511 7450069 12191022 14900138 22350207 44700414 67050621 134101242