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13200210320320 = 2652310141176857
BaseRepresentation
bin1100000000010110100111…
…0110001101101111000000
31201201221001100112121000101
43000011221312031233000
53212233012320222240
644024032022332144
72531453342265232
oct300055166155700
951657040477011
1013200210320320
11422a1a5662741
12159235788a054
13749a0b73618a
14338c72014252
1517d57b30339a
hexc0169d8dbc0

13200210320320 has 112 divisors (see below), whose sum is σ = 32803072872768. Its totient is φ = 5049988669440.

The previous prime is 13200210320303. The next prime is 13200210320321. The reversal of 13200210320320 is 2302301200231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200210320321) 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 15 ways as a sum of consecutive naturals, for example, 74549332 + ... + 74726188.

Almost surely, 213200210320320 is an apocalyptic number.

13200210320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200210320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16401536436384).

13200210320320 is an abundant number, since it is smaller than the sum of its proper divisors (19602862552448).

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

13200210320320 is a wasteful number, since it uses less digits than its factorization.

13200210320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187038 (or 187028 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13200210320320 its reverse (2302301200231), we get a palindrome (15502511520551).

The spelling of 13200210320320 in words is "thirteen trillion, two hundred billion, two hundred ten million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 10141 20282 40564 50705 81128 101410 162256 176857 202820 233243 324512 353714 405640 466486 649024 707428 811280 884285 932972 1166215 1414856 1622560 1768570 1865944 2332430 2829712 3245120 3537140 3731888 4067711 4664860 5659424 7074280 7463776 8135422 9329720 11318848 14148560 14927552 16270844 18659440 20338555 28297120 32541688 37318880 40677110 56594240 65083376 74637760 81354220 130166752 162708440 260333504 325416880 650833760 1301667520 1793506837 3587013674 7174027348 8967534185 14348054696 17935068370 28696109392 35870136740 41250657251 57392218784 71740273480 82501314502 114784437568 143480546960 165002629004 206253286255 286961093920 330005258008 412506572510 573922187840 660010516016 825013145020 1320021032032 1650026290040 2640042064064 3300052580080 6600105160160 13200210320320