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132112310000 = 2454111201021
BaseRepresentation
bin111101100001010000…
…0011101111011110000
3110122000010121201012112
41323002200131323300
54131031222410000
6140405213144452
712354603051356
oct1730240357360
9418003551175
10132112310000
1151034a55980
122173018b128
13c5c56b27c8
146573c3b7d6
15368350d235
hex1ec281def0

132112310000 has 100 divisors (see below), whose sum is σ = 348935323704. Its totient is φ = 48040800000.

The previous prime is 132112309999. The next prime is 132112310003. The reversal of 132112310000 is 13211231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1321123100002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132112310003) 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 19 ways as a sum of consecutive naturals, for example, 490511 + ... + 710510.

Almost surely, 2132112310000 is an apocalyptic number.

132112310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132112310000 is an abundant number, since it is smaller than the sum of its proper divisors (216823013704).

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

132112310000 is a wasteful number, since it uses less digits than its factorization.

132112310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201060 (or 1201039 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 132112310000 its reverse (13211231), we get a palindrome (132125521231).

132112310000 divided by its reverse (13211231) gives a 4-th power (10000 = 104).

It can be divided in two parts, 1321 and 12310000, that added together give a palindrome (12311321).

The spelling of 132112310000 in words is "one hundred thirty-two billion, one hundred twelve million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 1201021 2402042 4804084 6005105 9608168 12010210 13211231 19216336 24020420 26422462 30025525 48040840 52844924 60051050 66056155 96081680 105689848 120102100 132112310 150127625 211379696 240204200 264224620 300255250 330280775 480408400 528449240 600510500 660561550 750638125 1056898480 1201021000 1321123100 1501276250 1651403875 2402042000 2642246200 3002552500 3302807750 5284492400 6005105000 6605615500 8257019375 12010210000 13211231000 16514038750 26422462000 33028077500 66056155000 132112310000