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130213310130 = 2345307523639
BaseRepresentation
bin111100101000101010…
…0010110111010110010
3110110002210022112010000
41321101110112322302
54113134101411010
6135452535050430
712256543605531
oct1712124267262
9413083275100
10130213310130
11502500231a2
12212a0210a16
13c38213c247
146433954318
1535c194b7c0
hex1e51516eb2

130213310130 has 80 divisors (see below), whose sum is σ = 351270279360. Its totient is φ = 34610377248.

The previous prime is 130213310077. The next prime is 130213310153. The reversal of 130213310130 is 31013312031.

It is a happy number.

130213310130 is a `hidden beast` number, since 1 + 302 + 1 + 331 + 0 + 1 + 30 = 666.

It is a super-2 number, since 2×1302133101302 (a number of 23 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 13150 + ... + 510489.

It is an arithmetic number, because the mean of its divisors is an integer number (4390878492).

Almost surely, 2130213310130 is an apocalyptic number.

130213310130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130213310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175635139680).

130213310130 is an abundant number, since it is smaller than the sum of its proper divisors (221056969230).

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

130213310130 is a wasteful number, since it uses less digits than its factorization.

130213310130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523965 (or 523956 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130213310130 its reverse (31013312031), we get a palindrome (161226622161).

The spelling of 130213310130 in words is "one hundred thirty billion, two hundred thirteen million, three hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 307 405 614 810 921 1535 1842 2763 3070 4605 5526 8289 9210 13815 16578 24867 27630 41445 49734 82890 124335 248670 523639 1047278 1570917 2618195 3141834 4712751 5236390 7854585 9425502 14138253 15709170 23563755 28276506 42414759 47127510 70691265 84829518 141382530 160757173 212073795 321514346 424147590 482271519 803785865 964543038 1446814557 1607571730 2411357595 2893629114 4340443671 4822715190 7234072785 8680887342 13021331013 14468145570 21702218355 26042662026 43404436710 65106655065 130213310130