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110130021300 = 2235213110925463
BaseRepresentation
bin110011010010001000…
…0101100001110110100
3101112021011001202001210
41212210100230032310
53301021241140200
6122332032321420
710646060510205
oct1464420541664
9345234052053
10110130021300
1142784587032
12194163a3270
13a5014222a0
14548a58b5ac
152ce872c650
hex19a442c3b4

110130021300 has 144 divisors (see below), whose sum is σ = 343476766080. Its totient is φ = 27083420160.

The previous prime is 110130021283. The next prime is 110130021307. The reversal of 110130021300 is 3120031011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110130021307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4312369 + ... + 4337831.

It is an arithmetic number, because the mean of its divisors is an integer number (2385255320).

Almost surely, 2110130021300 is an apocalyptic number.

110130021300 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 110130021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171738383040).

110130021300 is an abundant number, since it is smaller than the sum of its proper divisors (233346744780).

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

110130021300 is a wasteful number, since it uses less digits than its factorization.

110130021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26602 (or 26595 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 110130021300 its reverse (3120031011), we get a palindrome (113250052311).

The spelling of 110130021300 in words is "one hundred ten billion, one hundred thirty million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1109 1300 1950 2218 3327 3900 4436 5545 6654 11090 13308 14417 16635 22180 25463 27725 28834 33270 43251 50926 55450 57668 66540 72085 76389 83175 86502 101852 110900 127315 144170 152778 166350 173004 216255 254630 288340 305556 331019 332700 360425 381945 432510 509260 636575 662038 720850 763890 865020 993057 1081275 1273150 1324076 1441700 1527780 1655095 1909725 1986114 2162550 2546300 3310190 3819450 3972228 4325100 4965285 6620380 7638900 8275475 9930570 16550950 19861140 24826425 28238467 33101900 49652850 56476934 84715401 99305700 112953868 141192335 169430802 282384670 338861604 367100071 423577005 564769340 705961675 734200142 847154010 1101300213 1411923350 1468400284 1694308020 1835500355 2117885025 2202600426 2823846700 3671000710 4235770050 4405200852 5506501065 7342001420 8471540100 9177501775 11013002130 18355003550 22026004260 27532505325 36710007100 55065010650 110130021300