Search a number
-
+
2231214330120 = 2335251281263621
BaseRepresentation
bin100000011101111110101…
…111001101000100001000
321220022011011101210121020
4200131332233031010020
5243024011332030440
64425001122312440
7320125366611666
oct40357657150410
97808134353536
102231214330120
1179028635a226
123005111b8720
131325306b9569
1479dc4399c36
153d08b9973d0
hex2077ebcd108

2231214330120 has 128 divisors (see below), whose sum is σ = 6744252170880. Its totient is φ = 590508800000.

The previous prime is 2231214330109. The next prime is 2231214330139. The reversal of 2231214330120 is 210334121322.

It is a super-3 number, since 3×22312143301203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8331910 + ... + 8595530.

It is an arithmetic number, because the mean of its divisors is an integer number (52689470085).

Almost surely, 22231214330120 is an apocalyptic number.

2231214330120 is a gapful number since it is divisible by the number (20) 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 2231214330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372126085440).

2231214330120 is an abundant number, since it is smaller than the sum of its proper divisors (4513037840760).

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

2231214330120 is a wasteful number, since it uses less digits than its factorization.

2231214330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264167 (or 264163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2231214330120 its reverse (210334121322), we get a palindrome (2441548451442).

The spelling of 2231214330120 in words is "two trillion, two hundred thirty-one billion, two hundred fourteen million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 281 502 562 753 843 1004 1124 1255 1405 1506 1686 2008 2248 2510 2810 3012 3372 3765 4215 5020 5620 6024 6744 7530 8430 10040 11240 15060 16860 30120 33720 70531 141062 211593 263621 282124 352655 423186 527242 564248 705310 790863 846372 1054484 1057965 1318105 1410620 1581726 1692744 2108968 2115930 2636210 2821240 3163452 3954315 4231860 5272420 6326904 7908630 8463720 10544840 15817260 31634520 66168871 74077501 132337742 148155002 198506613 222232503 264675484 296310004 330844355 370387505 397013226 444465006 529350968 592620008 661688710 740775010 794026452 888930012 992533065 1111162515 1323377420 1481550020 1588052904 1777860024 1985066130 2222325030 2646754840 2963100040 3970132260 4444650060 7940264520 8889300120 18593452751 37186905502 55780358253 74373811004 92967263755 111560716506 148747622008 185934527510 223121433012 278901791265 371869055020 446242866024 557803582530 743738110040 1115607165060 2231214330120