Search a number
-
+
120032230033221 = 311210124116098443
BaseRepresentation
bin11011010010101100101110…
…011011101100011101000101
3120201222222011111021100210120
4123102230232123230131011
5111213102001342030341
61103142013434212153
734166020362016452
oct3322545633543505
9521888144240716
10120032230033221
1135278423690200
1211567072b84059
1351c8cb580a54c
14218d83b732829
15dd24a8e30066
hex6d2b2e6ec745

120032230033221 has 96 divisors (see below), whose sum is σ = 178525916257920. Its totient is φ = 71674606080000.

The previous prime is 120032230033213. The next prime is 120032230033249. The reversal of 120032230033221 is 122330032230021.

It is not a de Polignac number, because 120032230033221 - 23 = 120032230033213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120032230033191 and 120032230033200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120032230033201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14216770626 + ... + 14216779068.

It is an arithmetic number, because the mean of its divisors is an integer number (1859644961020).

Almost surely, 2120032230033221 is an apocalyptic number.

120032230033221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120032230033221 is a deficient number, since it is larger than the sum of its proper divisors (58493686224699).

120032230033221 is a wasteful number, since it uses less digits than its factorization.

120032230033221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10419 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 120032230033221 its reverse (122330032230021), we get a palindrome (242362262263242).

The spelling of 120032230033221 in words is "one hundred twenty trillion, thirty-two billion, two hundred thirty million, thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 11 33 101 121 241 303 363 723 1111 1609 2651 3333 4827 7953 8443 12221 17699 24341 25329 29161 36663 53097 73023 87483 92873 162509 194689 267751 278619 387769 487527 584067 803253 852743 1021603 1163307 1787599 2034763 2558229 2945261 3064809 4265459 5362797 6104289 8835783 9380173 12796377 13584787 19663589 22382393 28140519 39164669 40754361 46920049 58990767 67147179 103181903 117494007 140760147 149432657 205511063 246206323 309545709 430811359 448297971 616533189 738618969 1292434077 1372063487 1643759227 2260621693 3273933667 4116190461 4738924949 4931277681 6781865079 9821801001 14216774847 15092698357 24866838623 36013270337 45278095071 74600515869 108039811011 166019681927 330667300367 396145973707 498059045781 992001901101 1188437921121 3637340304037 10912020912111 40010743344407 120032230033221