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342000222400011 = 37236144370137379
BaseRepresentation
bin100110111000011000010000…
…1110001001110111000001011
31122211220220100112012112121010
41031300300201301032320023
5324311312423413300021
63211212422212215003
7132015462221442330
oct11560604161167013
91584826315175533
10342000222400011
1199a7653068783a
1232435b2660a463
13118aa637331886
146064c83134987
152981325d39976
hex1370c21c4ee0b

342000222400011 has 128 divisors (see below), whose sum is σ = 554769132503040. Its totient is φ = 183185690688000.

The previous prime is 342000222399937. The next prime is 342000222400013. The reversal of 342000222400011 is 110004222000243.

It is not a de Polignac number, because 342000222400011 - 246 = 271631478222347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (342000222400013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9149509720 + ... + 9149547098.

It is an arithmetic number, because the mean of its divisors is an integer number (4334133847680).

Almost surely, 2342000222400011 is an apocalyptic number.

342000222400011 is a deficient number, since it is larger than the sum of its proper divisors (212768910103029).

342000222400011 is a wasteful number, since it uses less digits than its factorization.

342000222400011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38617.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 342000222400011 its reverse (110004222000243), we get a palindrome (452004444400254).

The spelling of 342000222400011 in words is "three hundred forty-two trillion, two hundred twenty-two million, four hundred thousand, eleven".

Divisors: 1 3 7 21 23 61 69 161 183 427 443 483 701 1281 1329 1403 2103 3101 4209 4907 9303 9821 10189 14721 16123 27023 29463 30567 37379 42761 48369 71323 81069 112137 112861 128283 189161 213969 261653 299327 310543 338583 567483 621529 784959 859717 897981 931629 983503 1864587 2173801 2280119 2579151 2950509 4350703 6018019 6521403 6840357 6884521 7142489 13052109 15960833 16558897 18054057 18943123 20653563 21427467 26202679 47882499 49676691 49997423 52442737 56829369 78608037 115912279 132601861 149992269 157328211 183418753 347736837 367099159 380854631 397805583 435691829 550256259 602661617 1010092717 1101297477 1142563893 1307075487 1598363419 1807984851 2665982417 3030278151 3049842803 4218631319 4795090257 7070649019 7997947251 9149528409 11188543933 11607786797 12655893957 21211947057 23232132491 33565631799 34823360391 36762358637 69696397473 81254507579 110287075911 162624927437 243763522737 257336510459 266979096331 487874782311 708074994617 772009531377 800937288993 1868853674317 2124224983851 4956524962319 5606561022951 14869574886957 16285724876191 48857174628573 114000074133337 342000222400011