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20132303120 = 2457922714033
BaseRepresentation
bin10010101111111110…
…101001000100010000
31220222001110222000022
4102233332221010100
5312212332144440
613125413043012
71311616516166
oct225776510420
956861428008
1020132303120
1185a1184346
123a9a326468
131b8ac1b7c7
14d8dac5236
157cc6a1cb5
hex4affa9110

20132303120 has 80 divisors (see below), whose sum is σ = 47612309760. Its totient is φ = 7915395072.

The previous prime is 20132303111. The next prime is 20132303131. The reversal of 20132303120 is 2130323102.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1427624 + ... + 1441656.

It is an arithmetic number, because the mean of its divisors is an integer number (595153872).

Almost surely, 220132303120 is an apocalyptic number.

20132303120 is a gapful number since it is divisible by the number (20) 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 20132303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23806154880).

20132303120 is an abundant number, since it is smaller than the sum of its proper divisors (27480006640).

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

20132303120 is a wasteful number, since it uses less digits than its factorization.

20132303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14352 (or 14346 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20132303120 its reverse (2130323102), we get a palindrome (22262626222).

The spelling of 20132303120 in words is "twenty billion, one hundred thirty-two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 227 316 395 454 632 790 908 1135 1264 1580 1816 2270 3160 3632 4540 6320 9080 14033 17933 18160 28066 35866 56132 70165 71732 89665 112264 140330 143464 179330 224528 280660 286928 358660 561320 717320 1108607 1122640 1434640 2217214 3185491 4434428 5543035 6370982 8868856 11086070 12741964 15927455 17737712 22172140 25483928 31854910 44344280 50967856 63709820 88688560 127419640 251653789 254839280 503307578 1006615156 1258268945 2013230312 2516537890 4026460624 5033075780 10066151560 20132303120