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131323102000 = 24531812811291
BaseRepresentation
bin111101001001101110…
…1111000001100110000
3110112222010120210100121
41322103131320030300
54122422203231000
6140155021500024
712326210643406
oct1722335701460
9415863523317
10131323102000
115076a516262
122154ba11614
13c4cb03ab1c
1464db0c1476
1536390b8b1a
hex1e93778330

131323102000 has 160 divisors (see below), whose sum is σ = 320678100288. Its totient is φ = 52012800000.

The previous prime is 131323101979. The next prime is 131323102021. The reversal of 131323102000 is 201323131.

It is an interprime number because it is at equal distance from previous prime (131323101979) and next prime (131323102021).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 101721355 + ... + 101722645.

Almost surely, 2131323102000 is an apocalyptic number.

131323102000 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 131323102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160339050144).

131323102000 is an abundant number, since it is smaller than the sum of its proper divisors (189354998288).

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

131323102000 is a wasteful number, since it uses less digits than its factorization.

131323102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131323102000 its reverse (201323131), we get a palindrome (131524425131).

The spelling of 131323102000 in words is "one hundred thirty-one billion, three hundred twenty-three million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 181 200 250 281 362 400 500 562 724 905 1000 1124 1291 1405 1448 1810 2000 2248 2582 2810 2896 3620 4496 4525 5164 5620 6455 7025 7240 9050 10328 11240 12910 14050 14480 18100 20656 22480 22625 25820 28100 32275 35125 36200 45250 50861 51640 56200 64550 70250 72400 90500 101722 103280 112400 129100 140500 161375 181000 203444 233671 254305 258200 281000 322750 362000 362771 406888 467342 508610 516400 562000 645500 725542 813776 934684 1017220 1168355 1271525 1291000 1451084 1813855 1869368 2034440 2336710 2543050 2582000 2902168 3627710 3738736 4068880 4673420 5086100 5804336 5841775 6357625 7255420 9069275 9346840 10172200 11683550 12715250 14510840 18138550 18693680 20344400 23367100 25430500 29021680 29208875 36277100 45346375 46734200 50861000 58417750 65661551 72554200 90692750 93468400 101722000 116835500 131323102 145108400 181385500 233671000 262646204 328307755 362771000 467342000 525292408 656615510 725542000 1050584816 1313231020 1641538775 2626462040 3283077550 5252924080 6566155100 8207693875 13132310200 16415387750 26264620400 32830775500 65661551000 131323102000