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13204414131000 = 2335317258910081
BaseRepresentation
bin1100000000100110010001…
…1010011110101100111000
31201202022220022202022011020
43000021210122132230320
53212320120004143000
644030005112502440
72531662456140111
oct300114432365470
951668808668136
1013204414131000
114230a625a1944
12159312b6aaa20
1374a22b647511
1433915045d208
1517d7253d6ba0
hexc026469eb38

13204414131000 has 128 divisors (see below), whose sum is σ = 43621170615360. Its totient is φ = 3314049024000.

The previous prime is 13204414130993. The next prime is 13204414131011. The reversal of 13204414131000 is 13141440231.

It is a super-2 number, since 2×132044141310002 (a number of 27 digits) contains 22 as substring.

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, 129404041 + ... + 129506040.

Almost surely, 213204414131000 is an apocalyptic number.

13204414131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13204414131000 is an abundant number, since it is smaller than the sum of its proper divisors (30416756484360).

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

13204414131000 is a wasteful number, since it uses less digits than its factorization.

13204414131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258910122 (or 258910108 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13204414131000 its reverse (13141440231), we get a palindrome (13217555571231).

The spelling of 13204414131000 in words is "thirteen trillion, two hundred four billion, four hundred fourteen million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 258910081 517820162 776730243 1035640324 1294550405 1553460486 2071280648 2589100810 3106920972 3883651215 4401471377 5178201620 6213841944 6472752025 7767302430 8802942754 10356403240 12945504050 13204414131 15534604860 17605885508 19418256075 22007356885 25891008100 26408828262 31069209720 32363760125 35211771016 38836512150 44014713770 51782016200 52817656524 64727520250 66022070655 77673024300 88029427540 97091280375 105635313048 110036784425 129455040500 132044141310 155346048600 176058855080 194182560750 220073568850 258910081000 264088282620 330110353275 388365121500 440147137700 528176565240 550183922125 660220706550 776730243000 880294275400 1100367844250 1320441413100 1650551766375 2200735688500 2640882826200 3301103532750 4401471377000 6602207065500 13204414131000