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13200211012200 = 2335247945929753
BaseRepresentation
bin1100000000010110100111…
…1000110110101001101000
31201201221001101211202002120
43000011221320312221220
53212233013004342300
644024032045231240
72531453351206332
oct300055170665150
951657041752076
1013200211012200
11422a1a5a95543
121592357b62520
13749a0b919084
14338c72154452
1517d57b3dd3a0
hexc0169e36a68

13200211012200 has 96 divisors (see below), whose sum is σ = 41006084371200. Its totient is φ = 3512707432960.

The previous prime is 13200211012169. The next prime is 13200211012201. The reversal of 13200211012200 is 221011200231.

It is a super-2 number, since 2×132002110122002 (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 a self number, because there is not a number n which added to its sum of digits gives 13200211012200.

It is not an unprimeable number, because it can be changed into a prime (13200211012201) 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, 22677477 + ... + 23252276.

It is an arithmetic number, because the mean of its divisors is an integer number (427146712200).

Almost surely, 213200211012200 is an apocalyptic number.

13200211012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200211012200 is an abundant number, since it is smaller than the sum of its proper divisors (27805873359000).

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

13200211012200 is a wasteful number, since it uses less digits than its factorization.

13200211012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45930251 (or 45930242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13200211012200 its reverse (221011200231), we get a palindrome (13421222212431).

The spelling of 13200211012200 in words is "thirteen trillion, two hundred billion, two hundred eleven million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 479 600 958 1437 1916 2395 2874 3832 4790 5748 7185 9580 11496 11975 14370 19160 23950 28740 35925 47900 57480 71850 95800 143700 287400 45929753 91859506 137789259 183719012 229648765 275578518 367438024 459297530 551157036 688946295 918595060 1102314072 1148243825 1377892590 1837190120 2296487650 2755785180 3444731475 4592975300 5511570360 6889462950 9185950600 13778925900 22000351687 27557851800 44000703374 66001055061 88001406748 110001758435 132002110122 176002813496 220003516870 264004220244 330005275305 440007033740 528008440488 550008792175 660010550610 880014067480 1100017584350 1320021101220 1650026376525 2200035168700 2640042202440 3300052753050 4400070337400 6600105506100 13200211012200