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132031012000 = 255373452161
BaseRepresentation
bin111101011110110101…
…0010101110010100000
3110121210110122100022111
41322331222111302200
54130344414341000
6140353150445104
712352565041066
oct1727552256240
9417713570274
10132031012000
1150aa3078548
1221708b03794
13c5b18b9694
146567118036
15367b2eecba
hex1ebda95ca0

132031012000 has 96 divisors (see below), whose sum is σ = 328844762064. Its totient is φ = 52088832000.

The previous prime is 132031011997. The next prime is 132031012021. The reversal of 132031012000 is 210130231.

It can be written as a sum of positive squares in 8 ways, for example, as 1730227216 + 130300784784 = 41596^2 + 360972^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65920 + ... + 518080.

Almost surely, 2132031012000 is an apocalyptic number.

132031012000 is a gapful number since it is divisible by the number (10) 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 132031012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164422381032).

132031012000 is an abundant number, since it is smaller than the sum of its proper divisors (196813750064).

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

132031012000 is an equidigital number, since it uses as much as digits as its factorization.

132031012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452259 (or 452241 counting only the distinct ones).

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

Adding to 132031012000 its reverse (210130231), we get a palindrome (132241142231).

The spelling of 132031012000 in words is "one hundred thirty-two billion, thirty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 730 800 1000 1168 1460 1825 2000 2336 2920 3650 4000 5840 7300 9125 11680 14600 18250 29200 36500 58400 73000 146000 292000 452161 904322 1808644 2260805 3617288 4521610 7234576 9043220 11304025 14469152 18086440 22608050 33007753 36172880 45216100 56520125 66015506 72345760 90432200 113040250 132031012 165038765 180864400 226080500 264062024 330077530 361728800 452161000 528124048 660155060 825193825 904322000 1056248096 1320310120 1650387650 1808644000 2640620240 3300775300 4125969125 5281240480 6601550600 8251938250 13203101200 16503876500 26406202400 33007753000 66015506000 132031012000