Search a number
-
+
20131300221000 = 2335346933142979
BaseRepresentation
bin1001001001111001011101…
…11111111010000001001000
32122021112101220222211011220
410210330232333322001020
510114312400324033000
6110452105221322040
74145303246340003
oct444745677720110
978245356884156
1020131300221000
116461700175481
1223116b7866320
13b304b166ccb7
144d85082a453a
1524d9dbe301a0
hex124f2effa048

20131300221000 has 128 divisors (see below), whose sum is σ = 62811434275200. Its totient is φ = 5368194796800.

The previous prime is 20131300220987. The next prime is 20131300221017. The reversal of 20131300221000 is 12200313102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140727511 + ... + 140870489.

It is an arithmetic number, because the mean of its divisors is an integer number (490714330275).

Almost surely, 220131300221000 is an apocalyptic number.

20131300221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131300221000 is an abundant number, since it is smaller than the sum of its proper divisors (42680134054200).

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

20131300221000 is a wasteful number, since it uses less digits than its factorization.

20131300221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189936 (or 189922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20131300221000 its reverse (12200313102), we get a palindrome (20143500534102).

The spelling of 20131300221000 in words is "twenty trillion, one hundred thirty-one billion, three hundred million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 46933 93866 140799 142979 187732 234665 281598 285958 375464 428937 469330 563196 571916 703995 714895 857874 938660 1126392 1143832 1173325 1407990 1429790 1715748 1877320 2144685 2346650 2815980 2859580 3431496 3519975 3574475 4289370 4693300 5631960 5719160 5866625 7039950 7148950 8578740 9386600 10723425 11733250 14079900 14297900 17157480 17599875 17872375 21446850 23466500 28159800 28595800 35199750 35744750 42893700 46933000 53617125 70399500 71489500 85787400 107234250 140799000 142979000 214468500 428937000 6710433407 13420866814 20131300221 26841733628 33552167035 40262600442 53683467256 67104334070 80525200884 100656501105 134208668140 161050401768 167760835175 201313002210 268417336280 335521670350 402626004420 503282505525 671043340700 805252008840 838804175875 1006565011050 1342086681400 1677608351750 2013130022100 2516412527625 3355216703500 4026260044200 5032825055250 6710433407000 10065650110500 20131300221000