Search a number
-
+
120333141441100 = 225271305531316741
BaseRepresentation
bin11011010111000100111110…
…001001100111101001001100
3120210001201212112011201010001
4123113010332021213221030
5111233014233202103400
61103532140530054044
734226532264543010
oct3327047611475114
9523051775151101
10120333141441100
1135383aa92a0755
12115b545171a324
13521b49c3c8153
1421a0225920540
15dda21b620a6a
hex6d713e267a4c

120333141441100 has 72 divisors (see below), whose sum is σ = 298428703278048. Its totient is φ = 41256729715200.

The previous prime is 120333141441083. The next prime is 120333141441103. The reversal of 120333141441100 is 1144141333021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (120333141441103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90728730 + ... + 92045470.

It is an arithmetic number, because the mean of its divisors is an integer number (4144843101084).

Almost surely, 2120333141441100 is an apocalyptic number.

120333141441100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120333141441100 is an abundant number, since it is smaller than the sum of its proper divisors (178095561836948).

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

120333141441100 is a wasteful number, since it uses less digits than its factorization.

120333141441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447315 (or 1447308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 120333141441100 its reverse (1144141333021), we get a palindrome (121477282774121).

The spelling of 120333141441100 in words is "one hundred twenty trillion, three hundred thirty-three billion, one hundred forty-one million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 130553 261106 522212 652765 913871 1305530 1316741 1827742 2611060 2633482 3263825 3655484 4569355 5266964 6527650 6583705 9138710 9217187 13055300 13167410 18277420 18434374 22846775 26334820 32918525 36868748 45693550 46085935 65837050 91387100 92171870 131674100 184343740 230429675 460859350 921718700 171904487773 343808975546 687617951092 859522438865 1203331414411 1719044877730 2406662828822 3438089755460 4297612194325 4813325657644 6016657072055 8595224388650 12033314144110 17190448777300 24066628288220 30083285360275 60166570720550 120333141441100