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130352240000 = 27545927617
BaseRepresentation
bin111100101100110011…
…0010101010110000000
3110110110110201220001202
41321121212111112000
54113430133140000
6135514420520332
712263151521063
oct1713146252600
9413413656052
10130352240000
1150311494274
122131a8500a8
13c3a4b63478
14644819a8da
1535cdc40dd5
hex1e59995580

130352240000 has 160 divisors (see below), whose sum is σ = 330015767400. Its totient is φ = 51255296000.

The previous prime is 130352239993. The next prime is 130352240003. The reversal of 130352240000 is 42253031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130352240003) 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 19 ways as a sum of consecutive naturals, for example, 4706192 + ... + 4733808.

Almost surely, 2130352240000 is an apocalyptic number.

130352240000 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 130352240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165007883700).

130352240000 is an abundant number, since it is smaller than the sum of its proper divisors (199663527400).

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

130352240000 is an frugal number, since it uses more digits than its factorization.

130352240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27710 (or 27683 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 130352240000 its reverse (42253031), we get a palindrome (130394493031).

The spelling of 130352240000 in words is "one hundred thirty billion, three hundred fifty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 128 160 200 236 250 295 320 400 472 500 590 625 640 800 944 1000 1180 1250 1475 1600 1888 2000 2360 2500 2950 3200 3776 4000 4720 5000 5900 7375 7552 8000 9440 10000 11800 14750 16000 18880 20000 23600 27617 29500 36875 37760 40000 47200 55234 59000 73750 80000 94400 110468 118000 138085 147500 188800 220936 236000 276170 295000 441872 472000 552340 590000 690425 883744 944000 1104680 1180000 1380850 1629403 1767488 2209360 2360000 2761700 3258806 3452125 3534976 4418720 4720000 5523400 6517612 6904250 8147015 8837440 11046800 13035224 13808500 16294030 17260625 17674880 22093600 26070448 27617000 32588060 34521250 40735075 44187200 52140896 55234000 65176120 69042500 81470150 88374400 104281792 110468000 130352240 138085000 162940300 203675375 208563584 220936000 260704480 276170000 325880600 407350750 441872000 521408960 552340000 651761200 814701500 1018376875 1042817920 1104680000 1303522400 1629403000 2036753750 2209360000 2607044800 3258806000 4073507500 5214089600 6517612000 8147015000 13035224000 16294030000 26070448000 32588060000 65176120000 130352240000