Search a number
-
+
110420310103000 = 23531734571878887
BaseRepresentation
bin11001000110110100111011…
…010111000001001111011000
3112110222002010021011021200221
4121012310323113001033120
5103433111243341244000
61030502220140005424
732154414135453052
oct3106647327011730
9473862107137627
10110420310103000
1132201a99446587
1210474242530874
13497c78a611911
141d3a52b66c8d2
15cb74441ce61a
hex646d3b5c13d8

110420310103000 has 128 divisors (see below), whose sum is σ = 273661840932480. Its totient is φ = 41557952102400.

The previous prime is 110420310102943. The next prime is 110420310103027. The reversal of 110420310103000 is 301013024011.

110420310103000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57829557 + ... + 59708443.

It is an arithmetic number, because the mean of its divisors is an integer number (2137983132285).

Almost surely, 2110420310103000 is an apocalyptic number.

110420310103000 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 110420310103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136830920466240).

110420310103000 is an abundant number, since it is smaller than the sum of its proper divisors (163241530829480).

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

110420310103000 is a wasteful number, since it uses less digits than its factorization.

110420310103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882382 (or 1882368 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 110420310103000 its reverse (301013024011), we get a palindrome (110721323127011).

The spelling of 110420310103000 in words is "one hundred ten trillion, four hundred twenty billion, three hundred ten million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 3457 4250 6914 8500 13828 17000 17285 27656 34570 58769 69140 86425 117538 138280 172850 235076 293845 345700 432125 470152 587690 691400 864250 1175380 1469225 1728500 1878887 2350760 2938450 3457000 3757774 5876900 7346125 7515548 9394435 11753800 14692250 15031096 18788870 29384500 31941079 37577740 46972175 58769000 63882158 75155480 93944350 127764316 159705395 187888700 234860875 255528632 319410790 375777400 469721750 638821580 798526975 939443500 1277643160 1597053950 1878887000 3194107900 3992634875 6388215800 6495312359 7985269750 12990624718 15970539500 25981249436 31941079000 32476561795 51962498872 64953123590 110420310103 129906247180 162382808975 220840620206 259812494360 324765617950 441681240412 552101550515 649531235900 811914044875 883362480824 1104203101030 1299062471800 1623828089750 2208406202060 2760507752575 3247656179500 4416812404120 5521015505150 6495312359000 11042031010300 13802538762875 22084062020600 27605077525750 55210155051500 110420310103000