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342221242122243 = 321121723182386969
BaseRepresentation
bin100110111001111111001011…
…1100100100100000000000011
31122212201000211202210202021100
41031303332113210210000003
5324323423100440402433
63211502133540025443
7132040445256205341
oct11563762744440003
91585630752722240
10342221242122243
119a051239541400
1232470929692283
13118c542b37c6c3
14607184cb00991
152986e5e804b13
hex1373f97924003

342221242122243 has 36 divisors (see below), whose sum is σ = 543658350628120. Its totient is φ = 207286436871360.

The previous prime is 342221242122233. The next prime is 342221242122283.

It is a happy number.

342221242122243 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 2 + 1 + 2 + 421 + 2 + 224 + 3 = 666.

342221242122243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342221242122243 - 244 = 324629056077827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 342221242122198 and 342221242122207.

It is not an unprimeable number, because it can be changed into a prime (342221242122233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89317138 + ... + 93069831.

Almost surely, 2342221242122243 is an apocalyptic number.

342221242122243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342221242122243 is a deficient number, since it is larger than the sum of its proper divisors (201437108505877).

342221242122243 is a wasteful number, since it uses less digits than its factorization.

342221242122243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182388720 (or 182388706 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 342221242122243 in words is "three hundred forty-two trillion, two hundred twenty-one billion, two hundred forty-two million, one hundred twenty-two thousand, two hundred forty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 1723 5169 15507 18953 56859 170577 208483 625449 1876347 182386969 547160907 1641482721 2006256659 6018769977 18056309931 22068823249 66206469747 198619409241 314252747587 942758242761 2828274728283 3456780223457 10370340670371 31111022011113 38024582458027 114073747374081 342221242122243