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20132213120 = 27547669289
BaseRepresentation
bin10010101111111110…
…010011000110000000
31220222001022101112222
4102233332103012000
5312212321304440
613125411110212
71311615662615
oct225776230600
956861271488
1020132213120
1185a1122768
123a9a2a2368
131b8abb9856
14d8daa050c
157cc6852b5
hex4aff93180

20132213120 has 64 divisors (see below), whose sum is σ = 49152657600. Its totient is φ = 7881535488.

The previous prime is 20132213083. The next prime is 20132213137. The reversal of 20132213120 is 2131223102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 304565 + ... + 364724.

It is an arithmetic number, because the mean of its divisors is an integer number (768010275).

Almost surely, 220132213120 is an apocalyptic number.

20132213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132213120 is an abundant number, since it is smaller than the sum of its proper divisors (29020444480).

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

20132213120 is an equidigital number, since it uses as much as digits as its factorization.

20132213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669355 (or 669343 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20132213120 its reverse (2131223102), we get a palindrome (22263436222).

The spelling of 20132213120 in words is "twenty billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1880 3008 3760 6016 7520 15040 30080 669289 1338578 2677156 3346445 5354312 6692890 10708624 13385780 21417248 26771560 31456583 42834496 53543120 62913166 85668992 107086240 125826332 157282915 214172480 251652664 314565830 428344960 503305328 629131660 1006610656 1258263320 2013221312 2516526640 4026442624 5033053280 10066106560 20132213120