Search a number
-
+
13032310110000 = 24354434410337
BaseRepresentation
bin1011110110100101001000…
…1101101111011100110000
31201010212200002200011211020
42331221102031233130300
53202010132342010000
643414543254215440
72513360536116666
oct275512215573460
951125602604736
1013032310110000
114174a7633a645
1215658ba354580
13736c318252bc
14330aa51b0c36
15179000eccba0
hexbda5236f730

13032310110000 has 100 divisors (see below), whose sum is σ = 42070034773272. Its totient is φ = 3475282688000.

The previous prime is 13032310109981. The next prime is 13032310110101. The reversal of 13032310110000 is 1101323031.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×130323101100002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 217175169 + ... + 217235168.

Almost surely, 213032310110000 is an apocalyptic number.

13032310110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13032310110000 is an abundant number, since it is smaller than the sum of its proper divisors (29037724663272).

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

13032310110000 is an equidigital number, since it uses as much as digits as its factorization.

13032310110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434410368 (or 434410347 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13032310110000 its reverse (1101323031), we get a palindrome (13033411433031).

The spelling of 13032310110000 in words is "thirteen trillion, thirty-two billion, three hundred ten million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 434410337 868820674 1303231011 1737641348 2172051685 2606462022 3475282696 4344103370 5212924044 6516155055 6950565392 8688206740 10425848088 10860258425 13032310110 17376413480 20851696176 21720516850 26064620220 32580775275 34752826960 43441033700 52129240440 54301292125 65161550550 86882067400 104258480880 108602584250 130323101100 162903876375 173764134800 217205168500 260646202200 271506460625 325807752750 434410337000 521292404400 543012921250 651615505500 814519381875 868820674000 1086025842500 1303231011000 1629038763750 2172051685000 2606462022000 3258077527500 4344103370000 6516155055000 13032310110000