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130340423220 = 22357617502973
BaseRepresentation
bin111100101100011100…
…1010000011000110100
3110110102122111112111020
41321120321100120310
54113414122020340
6135513315341140
712262646213610
oct1713071203064
9413378445436
10130340423220
1150305853137
12213168b17b0
13c3a25869a7
1464467a2340
1535ccba99d0
hex1e58e50634

130340423220 has 96 divisors (see below), whose sum is σ = 417766180608. Its totient is φ = 29743752192.

The previous prime is 130340423201. The next prime is 130340423221. The reversal of 130340423220 is 22324043031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130340423221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7654 + ... + 510626.

It is an arithmetic number, because the mean of its divisors is an integer number (4351731048).

Almost surely, 2130340423220 is an apocalyptic number.

130340423220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130340423220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208883090304).

130340423220 is an abundant number, since it is smaller than the sum of its proper divisors (287425757388).

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

130340423220 is a wasteful number, since it uses less digits than its factorization.

130340423220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503609 (or 503607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 130340423220 its reverse (22324043031), we get a palindrome (152664466251).

The spelling of 130340423220 in words is "one hundred thirty billion, three hundred forty million, four hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 617 1234 1851 2468 3085 3702 4319 6170 7404 8638 9255 12340 12957 17276 18510 21595 25914 37020 43190 51828 64785 86380 129570 259140 502973 1005946 1508919 2011892 2514865 3017838 3520811 5029730 6035676 7041622 7544595 10059460 10562433 14083244 15089190 17604055 21124866 30178380 35208110 42249732 52812165 70416220 105624330 211248660 310334341 620668682 931003023 1241337364 1551671705 1862006046 2172340387 3103343410 3724012092 4344680774 4655015115 6206686820 6517021161 8689361548 9310030230 10861701935 13034042322 18620060460 21723403870 26068084644 32585105805 43446807740 65170211610 130340423220