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13000132211200 = 29521953454491
BaseRepresentation
bin1011110100101101010001…
…0000110011001000000000
31201000210121120021112221121
42331023110100303020000
53200443232321224300
643352102302202024
72511141252361651
oct275132420631000
951023546245847
1013000132211200
1141623637a1a52
12155b619b83314
13733ba41994b4
1432d2d17dd528
1517826b0a081a
hexbd2d4433200

13000132211200 has 120 divisors (see below), whose sum is σ = 33904046095920. Its totient is φ = 4926365798400.

The previous prime is 13000132211141. The next prime is 13000132211249. The reversal of 13000132211200 is 211223100031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26484046 + ... + 26970445.

It is an arithmetic number, because the mean of its divisors is an integer number (282533717466).

Almost surely, 213000132211200 is an apocalyptic number.

13000132211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000132211200 is an abundant number, since it is smaller than the sum of its proper divisors (20903913884720).

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

13000132211200 is an equidigital number, since it uses as much as digits as its factorization.

13000132211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53454538 (or 53454517 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13000132211200 its reverse (211223100031), we get a palindrome (13211355311231).

The spelling of 13000132211200 in words is "thirteen trillion, one hundred thirty-two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 512 608 640 760 800 950 1216 1280 1520 1600 1900 2432 2560 3040 3200 3800 4864 6080 6400 7600 9728 12160 12800 15200 24320 30400 48640 60800 121600 243200 53454491 106908982 213817964 267272455 427635928 534544910 855271856 1015635329 1069089820 1336362275 1710543712 2031270658 2138179640 2672724550 3421087424 4062541316 4276359280 5078176645 5345449100 6842174848 8125082632 8552718560 10156353290 10690898200 13684349696 16250165264 17105437120 20312706580 21381796400 25390883225 27368699392 32500330528 34210874240 40625413160 42763592800 50781766450 65000661056 68421748480 81250826320 85527185600 101563532900 130001322112 136843496960 162501652640 171054371200 203127065800 260002644224 325003305280 342108742400 406254131600 520005288448 650006610560 684217484800 812508263200 1300013221120 1625016526400 2600026442240 3250033052800 6500066105600 13000132211200