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130056005442 = 231119136775869
BaseRepresentation
bin111100100011111110…
…0010010011101000010
3110102200211022121122110
41321013330102131002
54112323314133232
6135425155320150
712252623543346
oct1710774223502
9412624277573
10130056005442
115017a251920
12212575b0056
13c35868354c
14641aac7626
1535b2c27acc
hex1e47f12742

130056005442 has 64 divisors (see below), whose sum is σ = 298915660800. Its totient is φ = 37308847680.

The previous prime is 130056005407. The next prime is 130056005483. The reversal of 130056005442 is 244500650031.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1676284 + ... + 1752152.

It is an arithmetic number, because the mean of its divisors is an integer number (4670557200).

Almost surely, 2130056005442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130056005442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149457830400).

130056005442 is an abundant number, since it is smaller than the sum of its proper divisors (168859655358).

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

130056005442 is a wasteful number, since it uses less digits than its factorization.

130056005442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77271.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 130056005442 its reverse (244500650031), we get a palindrome (374556655473).

The spelling of 130056005442 in words is "one hundred thirty billion, fifty-six million, five thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1367 2734 4101 8202 15037 25973 30074 45111 51946 75869 77919 90222 151738 155838 227607 285703 455214 571406 834559 857109 1441511 1669118 1714218 2503677 2883022 4324533 5007354 8649066 15856621 31713242 47569863 95139726 103712923 207425846 311138769 622277538 1140842153 1970545537 2281684306 3422526459 3941091074 5911636611 6845052918 11823273222 21676000907 43352001814 65028002721 130056005442