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132032100100 = 225219531311143
BaseRepresentation
bin111101011110110111…
…0011111011100000100
3110121210112200121220111
41322331232133130010
54130400204200400
6140353230042404
712352610222305
oct1727556373404
9417715617814
10132032100100
1150aa3750aaa
1221709349404
13c5b1baaa24
14656731c7ac
15367b4673ba
hex1ebdb9f704

132032100100 has 72 divisors (see below), whose sum is σ = 307279707840. Its totient is φ = 49089156480.

The previous prime is 132032100059. The next prime is 132032100121. The reversal of 132032100100 is 1001230231.

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, 554872 + ... + 756271.

It is an arithmetic number, because the mean of its divisors is an integer number (4267773720).

Almost surely, 2132032100100 is an apocalyptic number.

132032100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132032100100 is an abundant number, since it is smaller than the sum of its proper divisors (175247607740).

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

132032100100 is a wasteful number, since it uses less digits than its factorization.

132032100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311229 (or 1311222 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 132032100100 its reverse (1001230231), we get a palindrome (133033330331).

The spelling of 132032100100 in words is "one hundred thirty-two billion, thirty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 53 76 95 100 106 190 212 265 380 475 530 950 1007 1060 1325 1900 2014 2650 4028 5035 5300 10070 20140 25175 50350 100700 1311143 2622286 5244572 6555715 13111430 24911717 26222860 32778575 49823434 65557150 69490579 99646868 124558585 131114300 138981158 249117170 277962316 347452895 498234340 622792925 694905790 1245585850 1320321001 1389811580 1737264475 2491171700 2640642002 3474528950 5281284004 6601605005 6949057900 13203210010 26406420020 33008025025 66016050050 132032100100