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130210031120 = 24513535940039
BaseRepresentation
bin111100101000100011…
…1110110011000010000
3110110002120010221011012
41321101013312120100
54113132231443440
6135452340510052
712256504000661
oct1712107663020
9413076127135
10130210031120
1150249193674
122129b0ab328
13c3815618c0
14643333d368
1535c14eee65
hex1e511f6610

130210031120 has 160 divisors (see below), whose sum is σ = 337815878400. Its totient is φ = 46369769472.

The previous prime is 130210031113. The next prime is 130210031141. The reversal of 130210031120 is 21130012031.

It is a junction number, because it is equal to n+sod(n) for n = 130210031095 and 130210031104.

It is an unprimeable number.

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, 3232061 + ... + 3272099.

It is an arithmetic number, because the mean of its divisors is an integer number (2111349240).

Almost surely, 2130210031120 is an apocalyptic number.

130210031120 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 130210031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168907939200).

130210031120 is an abundant number, since it is smaller than the sum of its proper divisors (207605847280).

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

130210031120 is a wasteful number, since it uses less digits than its factorization.

130210031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40177 (or 40171 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 130210031120 its reverse (21130012031), we get a palindrome (151340043151).

The spelling of 130210031120 in words is "one hundred thirty billion, two hundred ten million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 59 65 80 104 106 118 130 208 212 236 260 265 295 424 472 520 530 590 689 767 848 944 1040 1060 1180 1378 1534 2120 2360 2756 3068 3127 3445 3835 4240 4720 5512 6136 6254 6890 7670 11024 12272 12508 13780 15340 15635 25016 27560 30680 31270 40039 40651 50032 55120 61360 62540 80078 81302 125080 160156 162604 200195 203255 250160 320312 325208 400390 406510 520507 640624 650416 800780 813020 1041014 1601560 1626040 2082028 2122067 2362301 2602535 3203120 3252080 4164056 4244134 4724602 5205070 8328112 8488268 9449204 10410140 10610335 11811505 16976536 18898408 20820280 21220670 23623010 27586871 30709913 33953072 37796816 41640560 42441340 47246020 55173742 61419826 84882680 94492040 110347484 122839652 125201953 137934355 153549565 169765360 188984080 220694968 245679304 250403906 275868710 307099130 441389936 491358608 500807812 551737420 614198260 626009765 1001615624 1103474840 1228396520 1252019530 1627625389 2003231248 2206949680 2456793040 2504039060 3255250778 5008078120 6510501556 8138126945 10016156240 13021003112 16276253890 26042006224 32552507780 65105015560 130210031120