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132031002000 = 2435322005167
BaseRepresentation
bin111101011110110101…
…0010011010110010000
3110121210110121211121010
41322331222103112100
54130344414031000
6140353150330520
712352564666662
oct1727552232620
9417713554533
10132031002000
1150aa3070a87
1221708ab9a40
13c5b18b4c71
146567114532
15367b2ebd50
hex1ebda93590

132031002000 has 80 divisors (see below), whose sum is σ = 425667969792. Its totient is φ = 35208265600.

The previous prime is 132031001951. The next prime is 132031002007. The reversal of 132031002000 is 200130231.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (132031002007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10996584 + ... + 11008583.

Almost surely, 2132031002000 is an apocalyptic number.

132031002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132031002000 is an abundant number, since it is smaller than the sum of its proper divisors (293636967792).

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

132031002000 is a wasteful number, since it uses less digits than its factorization.

132031002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22005193 (or 22005177 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 132031002000 its reverse (200130231), we get a palindrome (132231132231).

The spelling of 132031002000 in words is "one hundred thirty-two billion, thirty-one million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 22005167 44010334 66015501 88020668 110025835 132031002 176041336 220051670 264062004 330077505 352082672 440103340 528124008 550129175 660155010 880206680 1056248016 1100258350 1320310020 1650387525 1760413360 2200516700 2640620040 2750645875 3300775050 4401033400 5281240080 5501291750 6601550100 8251937625 8802066800 11002583500 13203100200 16503875250 22005167000 26406200400 33007750500 44010334000 66015501000 132031002000