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120143221011331 = 72194127111614391
BaseRepresentation
bin11011010100010100000110…
…000000101011001110000011
3120202101120122122101020120121
4123110110012000223032003
5111221411304034330311
61103305011144121111
734210030005534100
oct3324240600531603
9522346578336517
10120143221011331
11353104aa151891
1211584689766197
1352065c340601b
142194d6a395aa7
15dd5303025b71
hex6d450602b383

120143221011331 has 48 divisors (see below), whose sum is σ = 151258408197120. Its totient is φ = 94829171472000.

The previous prime is 120143221011313. The next prime is 120143221011353. The reversal of 120143221011331 is 133110122341021.

It is not a de Polignac number, because 120143221011331 - 29 = 120143221010819 is a prime.

It is a super-3 number, since 3×1201432210113313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 120143221011296 and 120143221011305.

It is not an unprimeable number, because it can be changed into a prime (120143221014331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4537146 + ... + 16151536.

It is an arithmetic number, because the mean of its divisors is an integer number (3151216837440).

Almost surely, 2120143221011331 is an apocalyptic number.

120143221011331 is a deficient number, since it is larger than the sum of its proper divisors (31115187185789).

120143221011331 is a wasteful number, since it uses less digits than its factorization.

120143221011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11614736 (or 11614729 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 120143221011331 its reverse (133110122341021), we get a palindrome (253253343352352).

The spelling of 120143221011331 in words is "one hundred twenty trillion, one hundred forty-three billion, two hundred twenty-one million, eleven thousand, three hundred thirty-one".

Divisors: 1 7 19 41 49 133 271 287 779 931 1897 2009 5149 5453 11111 13279 36043 38171 77777 211109 252301 544439 1477763 10344341 11614391 81300737 220673429 476190031 569105159 1544714003 3147499961 3333330217 9047610589 10812998021 22032499727 23333311519 59802499259 63333274123 129047498401 154227498089 418617494813 443332918861 903332488807 2451902469619 2930322463691 6323327421649 17163317287333 120143221011331