Search a number
-
+
130135512342 = 231122326329633
BaseRepresentation
bin111100100110010101…
…1100101010100010110
3110102220100220222121110
41321030223211110112
54113004142343332
6135441115355450
712254610414033
oct1711453452426
9412810828543
10130135512342
1150210116600
122127a152b86
13c36bca0354
1464274a238a
1535b9bd04cc
hex1e4cae5516

130135512342 has 96 divisors (see below), whose sum is σ = 299666594304. Its totient is φ = 37575746560.

The previous prime is 130135512341. The next prime is 130135512349. The reversal of 130135512342 is 243215531031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130135512341) 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 47 ways as a sum of consecutive naturals, for example, 4376758 + ... + 4406390.

It is an arithmetic number, because the mean of its divisors is an integer number (3121527024).

Almost surely, 2130135512342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130135512342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149833297152).

130135512342 is an abundant number, since it is smaller than the sum of its proper divisors (169531081962).

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

130135512342 is a wasteful number, since it uses less digits than its factorization.

130135512342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29946 (or 29935 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 130135512342 in words is "one hundred thirty billion, one hundred thirty-five million, five hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 263 363 506 526 726 759 789 1518 1578 2783 2893 5566 5786 6049 8349 8679 12098 16698 17358 18147 29633 31823 36294 59266 63646 66539 88899 95469 133078 177798 190938 199617 325963 399234 651926 681559 731929 977889 1363118 1463858 1955778 2044677 2195787 3585593 4089354 4391574 7171186 7497149 7793479 10756779 14994298 15586958 21513558 22491447 23380437 44982894 46760874 82468639 85728269 164937278 171456538 179250017 247405917 257184807 358500034 494811834 514369614 537750051 943010959 1075500102 1886021918 1971750187 2829032877 3943500374 5658065754 5915250561 11830501122 21689252057 43378504114 65067756171 130135512342