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342121321311 = 371123416125747
BaseRepresentation
bin1001111101010000000…
…01010001001101011111
31012201002000121212000120
410332220001101031133
521101131024240221
6421100211130023
733501041151360
oct4765001211537
91181060555016
10342121321311
11122102626450
125637b8a3913
1326353525983
14127b7349b67
158d755205c6
hex4fa805135f

342121321311 has 128 divisors (see below), whose sum is σ = 617912451072. Its totient is φ = 163126656000.

The previous prime is 342121321279. The next prime is 342121321337. The reversal of 342121321311 is 113123121243.

It is not a de Polignac number, because 342121321311 - 25 = 342121321279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342121321351) 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 127 ways as a sum of consecutive naturals, for example, 13274940 + ... + 13300686.

It is an arithmetic number, because the mean of its divisors is an integer number (4827441024).

Almost surely, 2342121321311 is an apocalyptic number.

342121321311 is a deficient number, since it is larger than the sum of its proper divisors (275791129761).

342121321311 is a wasteful number, since it uses less digits than its factorization.

342121321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25893.

The product of its digits is 864, while the sum is 24.

Adding to 342121321311 its reverse (113123121243), we get a palindrome (455244442554).

The spelling of 342121321311 in words is "three hundred forty-two billion, one hundred twenty-one million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 7 11 21 23 33 41 61 69 77 123 161 183 231 253 287 427 451 483 671 759 861 943 1281 1353 1403 1771 2013 2501 2829 3157 4209 4697 5313 6601 7503 9471 9821 10373 14091 15433 17507 19803 25747 27511 29463 31119 46299 52521 57523 72611 77241 82533 108031 172569 180229 192577 217833 283217 324093 402661 540687 577731 592181 632753 849651 1055627 1207983 1570567 1776543 1898259 1982519 3166881 4145267 4429271 4711701 5947557 6513991 7389389 10993969 11611897 12435801 13287813 17276237 19541973 22168167 24279421 32981907 34835691 36123041 45597937 51828711 64393247 72838263 81283279 108369123 120933659 136793811 169955947 193179741 243849837 252861287 267073631 362800977 397353451 450752729 509867841 708325717 758583861 801220893 1192060353 1352258187 1481044681 1869515417 2124977151 2781474157 4443134043 4958280019 5608546251 8344422471 10367312767 14874840057 16291491491 31101938301 48874474473 114040440437 342121321311