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132110321312000 = 28538095103149
BaseRepresentation
bin11110000010011101010100…
…110001011110000100000000
3122022202121211102212110022102
4132002131110301132010000
5114303443414223441000
61144550351015325532
736553440626661623
oct3602352461360400
9568677742773272
10132110321312000
11391047442a9629
1212997a473808a8
135893c46a668a5
14248a260791dba
15104175c98c3d5
hex782754c5e100

132110321312000 has 144 divisors (see below), whose sum is σ = 329510191374000. Its totient is φ = 52778797875200.

The previous prime is 132110321311993. The next prime is 132110321312023. The reversal of 132110321312000 is 213123011231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18415358681344 + 113694962630656 = 4291312^2 + 10662784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23336426 + ... + 28439574.

It is an arithmetic number, because the mean of its divisors is an integer number (2288265217875).

Almost surely, 2132110321312000 is an apocalyptic number.

132110321312000 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 132110321312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164755095687000).

132110321312000 is an abundant number, since it is smaller than the sum of its proper divisors (197399870062000).

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

132110321312000 is an frugal number, since it uses more digits than its factorization.

132110321312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103989 (or 5103965 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 132110321312000 its reverse (213123011231), we get a palindrome (132323444323231).

The spelling of 132110321312000 in words is "one hundred thirty-two trillion, one hundred ten billion, three hundred twenty-one million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 809 1000 1280 1600 1618 2000 3200 3236 4000 4045 6400 6472 8000 8090 12944 16000 16180 20225 25888 32000 32360 40450 51776 64720 80900 101125 103552 129440 161800 202250 207104 258880 323600 404500 517760 647200 809000 1035520 1294400 1618000 2588800 3236000 5103149 5177600 6472000 10206298 12944000 20412596 25515745 25888000 40825192 51031490 81650384 102062980 127578725 163300768 204125960 255157450 326601536 408251920 510314900 637893625 653203072 816503840 1020629800 1275787250 1306406144 1633007680 2041259600 2551574500 3266015360 4082519200 4128447541 5103149000 6532030720 8165038400 8256895082 10206298000 16330076800 16513790164 20412596000 20642237705 32660153600 33027580328 40825192000 41284475410 66055160656 81650384000 82568950820 103211188525 132110321312 163300768000 165137901640 206422377050 264220642624 330275803280 412844754100 516055942625 528441285248 660551606560 825689508200 1032111885250 1056882570496 1321103213120 1651379016400 2064223770500 2642206426240 3302758032800 4128447541000 5284412852480 6605516065600 8256895082000 13211032131200 16513790164000 26422064262400 33027580328000 66055160656000 132110321312000