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110130222000 = 2435322980153
BaseRepresentation
bin110011010010001000…
…1011101001110110000
3101112021011102221101010
41212210101131032300
53301021314101000
6122332040510520
710646062304301
oct1464421351660
9345234387333
10110130222000
11427847038a7
121941647b440
13a501492746
14548a6007a8
152ce876bd50
hex19a445d3b0

110130222000 has 160 divisors (see below), whose sum is σ = 356614764480. Its totient is φ = 29239449600.

The previous prime is 110130221963. The next prime is 110130222031. The reversal of 110130222000 is 222031011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333924 + ... + 1414076.

It is an arithmetic number, because the mean of its divisors is an integer number (2228842278).

Almost surely, 2110130222000 is an apocalyptic number.

110130222000 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 110130222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178307382240).

110130222000 is an abundant number, since it is smaller than the sum of its proper divisors (246484542480).

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

110130222000 is a wasteful number, since it uses less digits than its factorization.

110130222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80408 (or 80392 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 110130222000 its reverse (222031011), we get a palindrome (110352253011).

The spelling of 110130222000 in words is "one hundred ten billion, one hundred thirty million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 229 240 250 300 375 400 458 500 600 687 750 916 1000 1145 1200 1374 1500 1832 2000 2290 2748 3000 3435 3664 4580 5496 5725 6000 6870 9160 10992 11450 13740 17175 18320 22900 27480 28625 34350 45800 54960 57250 68700 80153 85875 91600 114500 137400 160306 171750 229000 240459 274800 320612 343500 400765 458000 480918 641224 687000 801530 961836 1202295 1282448 1374000 1603060 1923672 2003825 2404590 3206120 3847344 4007650 4809180 6011475 6412240 8015300 9618360 10019125 12022950 16030600 18355037 19236720 20038250 24045900 30057375 32061200 36710074 40076500 48091800 55065111 60114750 73420148 80153000 91775185 96183600 110130222 120229500 146840296 160306000 183550370 220260444 240459000 275325555 293680592 367100740 440520888 458875925 480918000 550651110 734201480 881041776 917751850 1101302220 1376627775 1468402960 1835503700 2202604440 2294379625 2753255550 3671007400 4405208880 4588759250 5506511100 6883138875 7342014800 9177518500 11013022200 13766277750 18355037000 22026044400 27532555500 36710074000 55065111000 110130222000