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130142431320 = 233511443222557
BaseRepresentation
bin111100100110100010…
…1111110100001011000
3110102220211221111122220
41321031011332201120
54113012430300240
6135441523544040
712255023262006
oct1711505764130
9412824844586
10130142431320
1150214011970
122128052b020
13c370553715
146428383a76
1535ba5ea5d0
hex1e4d17e858

130142431320 has 128 divisors (see below), whose sum is σ = 426884048640. Its totient is φ = 31478320640.

The previous prime is 130142431291. The next prime is 130142431403. The reversal of 130142431320 is 23134241031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 473482 + ... + 696038.

It is an arithmetic number, because the mean of its divisors is an integer number (3335031630).

Almost surely, 2130142431320 is an apocalyptic number.

130142431320 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 130142431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213442024320).

130142431320 is an abundant number, since it is smaller than the sum of its proper divisors (296741617320).

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

130142431320 is a wasteful number, since it uses less digits than its factorization.

130142431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223025 (or 223021 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130142431320 its reverse (23134241031), we get a palindrome (153276672351).

The spelling of 130142431320 in words is "one hundred thirty billion, one hundred forty-two million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 443 660 886 1320 1329 1772 2215 2658 3544 4430 4873 5316 6645 8860 9746 10632 13290 14619 17720 19492 24365 26580 29238 38984 48730 53160 58476 73095 97460 116952 146190 194920 222557 292380 445114 584760 667671 890228 1112785 1335342 1780456 2225570 2448127 2670684 3338355 4451140 4896254 5341368 6676710 7344381 8902280 9792508 12240635 13353420 14688762 19585016 24481270 26706840 29377524 36721905 48962540 58755048 73443810 97925080 98592751 146887620 197185502 293775240 295778253 394371004 492963755 591556506 788742008 985927510 1084520261 1183113012 1478891265 1971855020 2169040522 2366226024 2957782530 3253560783 3943710040 4338081044 5422601305 5915565060 6507121566 8676162088 10845202610 11831130120 13014243132 16267803915 21690405220 26028486264 32535607830 43380810440 65071215660 130142431320