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110132210000 = 245425742853
BaseRepresentation
bin110011010010001100…
…1000010100101010000
3101112021022011221101202
41212210121002211100
53301022321210000
6122332151250332
710646115224231
oct1464431024520
9345238157352
10110132210000
114278584147a
12194170799a8
13a501a0a587
14548a99b088
152ce8a10dd5
hex19a4642950

110132210000 has 100 divisors (see below), whose sum is σ = 267684854052. Its totient is φ = 43880448000.

The previous prime is 110132209987. The next prime is 110132210081. The reversal of 110132210000 is 12231011.

It can be written as a sum of positive squares in 10 ways, for example, as 13368909376 + 96763300624 = 115624^2 + 311068^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2548574 + ... + 2591426.

Almost surely, 2110132210000 is an apocalyptic number.

110132210000 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 110132210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133842427026).

110132210000 is an abundant number, since it is smaller than the sum of its proper divisors (157552644052).

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

110132210000 is an equidigital number, since it uses as much as digits as its factorization.

110132210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43138 (or 43117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 110132210000 its reverse (12231011), we get a palindrome (110144441011).

The spelling of 110132210000 in words is "one hundred ten billion, one hundred thirty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 257 400 500 514 625 1000 1028 1250 1285 2000 2056 2500 2570 4112 5000 5140 6425 10000 10280 12850 20560 25700 32125 42853 51400 64250 85706 102800 128500 160625 171412 214265 257000 321250 342824 428530 514000 642500 685648 857060 1071325 1285000 1714120 2142650 2570000 3428240 4285300 5356625 8570600 10713250 11013221 17141200 21426500 22026442 26783125 42853000 44052884 53566250 55066105 85706000 88105768 107132500 110132210 176211536 214265000 220264420 275330525 428530000 440528840 550661050 881057680 1101322100 1376652625 2202644200 2753305250 4405288400 5506610500 6883263125 11013221000 13766526250 22026442000 27533052500 55066105000 110132210000