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342341200211127 = 31337475047716787
BaseRepresentation
bin100110111010110111000010…
…1101000010110110010110111
31122220010111110212010001112020
41031311232011220112302313
5324332404234223224002
63212033213134124223
7132052223036143035
oct11565560550266267
91586114425101466
10342341200211127
119a0980a6780037
1232490027350673
13119038379813a0
14607758c657555
15298a130c7c2bc
hex1375b85a16cb7

342341200211127 has 32 divisors (see below), whose sum is σ = 515593983593472. Its totient is φ = 200616455942784.

The previous prime is 342341200211027. The next prime is 342341200211159. The reversal of 342341200211127 is 721112002143243.

It is not a de Polignac number, because 342341200211127 - 214 = 342341200194743 is a prime.

It is a super-2 number, since 2×3423412002111272 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342341200211027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2523790573 + ... + 2523926214.

It is an arithmetic number, because the mean of its divisors is an integer number (16112311987296).

Almost surely, 2342341200211127 is an apocalyptic number.

342341200211127 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

342341200211127 is a deficient number, since it is larger than the sum of its proper divisors (173252783382345).

342341200211127 is a wasteful number, since it uses less digits than its factorization.

342341200211127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047716887.

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 342341200211127 in words is "three hundred forty-two trillion, three hundred forty-one billion, two hundred million, two hundred eleven thousand, one hundred twenty-seven".

Divisors: 1 3 13 37 39 47 111 141 481 611 1443 1739 1833 5217 22607 67821 5047716787 15143150361 65620318231 186765521119 196860954693 237242688989 560296563357 711728066967 2427951774547 3084154956857 7283855323641 8777979492593 9252464870571 26333938477779 114113733403709 342341200211127