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122143323341034 = 232172131718725017
BaseRepresentation
bin11011110001011010110101…
…011001100100000011101010
3121000110210021012202222111200
4123301122311121210003222
5112002144011233403114
61111435511302305030
734504364263036362
oct3361326531440352
9530423235688450
10122143323341034
1135a11768835476
121184823ba28176
1353200b1c183c8
142223aa86819a2
15e1c364eb8409
hex6f16b56640ea

122143323341034 has 48 divisors (see below), whose sum is σ = 280224313474248. Its totient is φ = 38317674341376.

The previous prime is 122143323341027. The next prime is 122143323341159. The reversal of 122143323341034 is 430143323341221.

122143323341034 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 3 + 3 + 233 + 410 + 3 + 4 = 666.

122143323341034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121150416717225 + 992906623809 = 11006835^2 + 996447^2 .

It is a super-2 number, since 2×1221433233410342 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122143323341034.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2839507 + ... + 15885510.

Almost surely, 2122143323341034 is an apocalyptic number.

122143323341034 is an abundant number, since it is smaller than the sum of its proper divisors (158080990133214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122143323341034 is a wasteful number, since it uses less digits than its factorization.

122143323341034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18746359 (or 18746356 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 122143323341034 its reverse (430143323341221), we get a palindrome (552286646682255).

The spelling of 122143323341034 in words is "one hundred twenty-two trillion, one hundred forty-three billion, three hundred twenty-three million, three hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 21317 42634 63951 127902 191853 362389 383706 724778 1087167 2174334 3261501 6523002 18725017 37450034 56175051 112350102 168525153 318325289 337050306 636650578 954975867 1909951734 2864927601 5729855202 399161187389 798322374778 1197483562167 2394967124334 3592450686501 6785740185613 7184901373002 13571480371226 20357220556839 40714441113678 61071661670517 122143323341034