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132102332010404 = 227238311239156577
BaseRepresentation
bin11110000010010101111000…
…100100101100111110100100
3122022201212012122120212212022
4132002111320210230332210
5114303331033443313104
61144542550141042312
736553035636020300
oct3602257044547644
9568655178525768
10132102332010404
1139101314579038
1212996397856398
1358932727cb1b2
142489b036b0d00
1510414413a6bbe
hex78257892cfa4

132102332010404 has 72 divisors (see below), whose sum is σ = 269650464491520. Its totient is φ = 56462079711744.

The previous prime is 132102332010377. The next prime is 132102332010433. The reversal of 132102332010404 is 404010233201231.

It is a super-2 number, since 2×1321023320104042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843610964 + ... + 843767540.

It is an arithmetic number, because the mean of its divisors is an integer number (3745145340160).

Almost surely, 2132102332010404 is an apocalyptic number.

132102332010404 is a gapful number since it is divisible by the number (14) 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 132102332010404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134825232245760).

132102332010404 is an abundant number, since it is smaller than the sum of its proper divisors (137548132481116).

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

132102332010404 is a wasteful number, since it uses less digits than its factorization.

132102332010404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168217 (or 168208 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 132102332010404 its reverse (404010233201231), we get a palindrome (536112565211635).

The spelling of 132102332010404 in words is "one hundred thirty-two trillion, one hundred two billion, three hundred thirty-two million, ten thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 383 766 1532 2681 5362 10724 11239 18767 22478 37534 44956 75068 78673 156577 157346 313154 314692 550711 626308 1096039 1101422 2192078 2202844 4304537 4384156 7672273 8609074 15344546 17218148 30131759 30689092 59968991 60263518 119937982 120527036 210922313 239875964 419782937 421844626 839565874 843689252 1679131748 1759768903 2938480559 3519537806 5876961118 7039075612 11753922236 12318382321 24636764642 49273529284 86228676247 172457352494 344914704988 673991489849 1347982979698 2695965959396 4717940428943 9435880857886 18871761715772 33025583002601 66051166005202 132102332010404