Search a number
-
+
121101323320010 = 25112296156576449
BaseRepresentation
bin11011100010010000011001…
…010110111011101011001010
3120212210011200102220102110102
4123202100121112323223022
5111333111002232220020
61105321102505445402
734336165454016425
oct3342203126735312
9525704612812412
10121101323320010
113564a867a00100
12116ba2b81a0862
135275a62416527
1421c949a1a89bc
15e001cb3a1475
hex6e24195bbaca

121101323320010 has 96 divisors (see below), whose sum is σ = 251925879618000. Its totient is φ = 41821310361600.

The previous prime is 121101323320007. The next prime is 121101323320027. The reversal of 121101323320010 is 10023323101121.

It is a happy number.

121101323320010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15792699844009 + 105308623476001 = 3974003^2 + 10261999^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26147735 + ... + 30428714.

Almost surely, 2121101323320010 is an apocalyptic number.

121101323320010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121101323320010 is an abundant number, since it is smaller than the sum of its proper divisors (130824556297990).

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

121101323320010 is a wasteful number, since it uses less digits than its factorization.

121101323320010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56576568 (or 56576557 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121101323320010 its reverse (10023323101121), we get a palindrome (131124646421131).

The spelling of 121101323320010 in words is "one hundred twenty-one trillion, one hundred one billion, three hundred twenty-three million, three hundred twenty thousand, ten".

Divisors: 1 2 5 10 11 22 29 55 58 61 110 121 122 145 242 290 305 319 605 610 638 671 1210 1342 1595 1769 3190 3355 3509 3538 6710 7018 7381 8845 14762 17545 17690 19459 35090 36905 38918 73810 97295 194590 214049 428098 1070245 2140490 56576449 113152898 282882245 565764490 622340939 1244681878 1640717021 3111704695 3281434042 3451163389 6223409390 6845750329 6902326778 8203585105 13691500658 16407170210 17255816945 18047887231 34228751645 34511633890 36095774462 37962797279 68457503290 75925594558 90239436155 100083738281 180478872310 189813986395 198526759541 200167476562 379627972790 397053519082 417590770069 500418691405 835181540138 992633797705 1000837382810 1100921121091 1985267595410 2087953850345 2201842242182 4175907700690 5504605605455 11009211210910 12110132332001 24220264664002 60550661660005 121101323320010