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120023100210 = 235133175113219
BaseRepresentation
bin110111111000111101…
…1110010101100110010
3102110210121122020000210
41233301323302230302
53431301403201320
6131045435324550
711446166342646
oct1576173625462
9373717566023
10120023100210
11469a0a02702
121b3175b0756
13b419c14930
145b4843ac26
1531c701a0e0
hex1bf1ef2b32

120023100210 has 128 divisors (see below), whose sum is σ = 320671088640. Its totient is φ = 28550880000.

The previous prime is 120023100209. The next prime is 120023100229. The reversal of 120023100210 is 12001320021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9072981 + ... + 9086199.

It is an arithmetic number, because the mean of its divisors is an integer number (2505242880).

Almost surely, 2120023100210 is an apocalyptic number.

120023100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120023100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160335544320).

120023100210 is an abundant number, since it is smaller than the sum of its proper divisors (200647988430).

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

120023100210 is a wasteful number, since it uses less digits than its factorization.

120023100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14024.

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

Adding to 120023100210 its reverse (12001320021), we get a palindrome (132024420231).

The spelling of 120023100210 in words is "one hundred twenty billion, twenty-three million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 751 806 930 1209 1502 2015 2253 2418 3755 4030 4506 6045 7510 9763 11265 12090 13219 19526 22530 23281 26438 29289 39657 46562 48815 58578 66095 69843 79314 97630 116405 132190 139686 146445 171847 198285 232810 292890 302653 343694 349215 396570 409789 515541 605306 698430 819578 859235 907959 1031082 1229367 1513265 1718470 1815918 2048945 2458734 2577705 3026530 4097890 4539795 5155410 5327257 6146835 9079590 9927469 10654514 12293670 15981771 19854938 26636285 29782407 31963542 49637345 53272570 59564814 79908855 99274690 129057097 148912035 159817710 258114194 297824070 307751539 387171291 615503078 645285485 774342582 923254617 1290570970 1538757695 1846509234 1935856455 3077515390 3871712910 4000770007 4616273085 8001540014 9232546170 12002310021 20003850035 24004620042 40007700070 60011550105 120023100210