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13132131022200 = 2335231876867551
BaseRepresentation
bin1011111100011001000000…
…0000010011010101111000
31201111102022210022220210110
42333012100000103111320
53210124101020202300
643532452342544320
72523523306636431
oct277062000232570
951442283286713
1013132131022200
11420333a6763a3
1215811181380a0
1374347c1c0118
14335854534488
1517b8e463e550
hexbf190013578

13132131022200 has 96 divisors (see below), whose sum is σ = 40722385743360. Its totient is φ = 3500802288000.

The previous prime is 13132131022193. The next prime is 13132131022207. The reversal of 13132131022200 is 222013123131.

It is an interprime number because it is at equal distance from previous prime (13132131022193) and next prime (13132131022207).

It is a super-3 number, since 3×131321310222003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132131022207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1521576 + ... + 5345975.

It is an arithmetic number, because the mean of its divisors is an integer number (424191518160).

Almost surely, 213132131022200 is an apocalyptic number.

13132131022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132131022200 is an abundant number, since it is smaller than the sum of its proper divisors (27590254721160).

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

13132131022200 is a wasteful number, since it uses less digits than its factorization.

13132131022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870757 (or 6870748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13132131022200 its reverse (222013123131), we get a palindrome (13354144145331).

The spelling of 13132131022200 in words is "thirteen trillion, one hundred thirty-two billion, one hundred thirty-one million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3187 6374 9561 12748 15935 19122 25496 31870 38244 47805 63740 76488 79675 95610 127480 159350 191220 239025 318700 382440 478050 637400 956100 1912200 6867551 13735102 20602653 27470204 34337755 41205306 54940408 68675510 82410612 103013265 137351020 164821224 171688775 206026530 274702040 343377550 412053060 515066325 686755100 824106120 1030132650 1373510200 2060265300 4120530600 21886885037 43773770074 65660655111 87547540148 109434425185 131321310222 175095080296 218868850370 262642620444 328303275555 437737700740 525285240888 547172125925 656606551110 875475401480 1094344251850 1313213102220 1641516377775 2188688503700 2626426204440 3283032755550 4377377007400 6566065511100 13132131022200