Search a number
-
+
130003222023100 = 225217719711103889
BaseRepresentation
bin11101100011110010111011…
…110111100100101110111100
3122001022012001001211000112201
4131203302323313210232330
5114014433044314214400
61140254353345041244
736245265014355016
oct3543627367445674
9561265031730481
10130003222023100
1138472069722938
12126b75b4026224
135770335c64c2a
14241629207b1b6
151006a3739706a
hex763cbbde4bbc

130003222023100 has 144 divisors (see below), whose sum is σ = 306031380863040. Its totient is φ = 47755601510400.

The previous prime is 130003222023097. The next prime is 130003222023107. The reversal of 130003222023100 is 1320222300031.

It is a super-2 number, since 2×1300032220231002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130003222023107) 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, 6155956 + ... + 17259844.

It is an arithmetic number, because the mean of its divisors is an integer number (2125217922660).

Almost surely, 2130003222023100 is an apocalyptic number.

130003222023100 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 130003222023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153015690431520).

130003222023100 is an abundant number, since it is smaller than the sum of its proper divisors (176028158839940).

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

130003222023100 is a wasteful number, since it uses less digits than its factorization.

130003222023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104088 (or 11104081 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 130003222023100 its reverse (1320222300031), we get a palindrome (131323444323131).

The spelling of 130003222023100 in words is "one hundred thirty trillion, three billion, two hundred twenty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 71 85 97 100 142 170 194 284 340 355 388 425 485 710 850 970 1207 1420 1649 1700 1775 1940 2414 2425 3298 3550 4828 4850 6035 6596 6887 7100 8245 9700 12070 13774 16490 24140 27548 30175 32980 34435 41225 60350 68870 82450 117079 120700 137740 164900 172175 234158 344350 468316 585395 688700 1170790 2341580 2926975 5853950 11103889 11707900 22207778 44415556 55519445 111038890 188766113 222077780 277597225 377532226 555194450 755064452 788376119 943830565 1077077233 1110388900 1576752238 1887661130 2154154466 3153504476 3775322260 3941880595 4308308932 4719152825 5385386165 7883761190 9438305650 10770772330 13402394023 15767522380 18310312961 18876611300 19709402975 21541544660 26804788046 26926930825 36620625922 39418805950 53609576092 53853861650 67011970115 73241251844 76472483543 78837611900 91551564805 107707723300 134023940230 152944967086 183103129610 268047880460 305889934172 335059850575 366206259220 382362417715 457757824025 670119701150 764724835430 915515648050 1300032220231 1340239402300 1529449670860 1831031296100 1911812088575 2600064440462 3823624177150 5200128880924 6500161101155 7647248354300 13000322202310 26000644404620 32500805505775 65001611011550 130003222023100