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122141021120334 = 232167397963110627
BaseRepresentation
bin11011110001011000101100…
…001011010010011101001110
3121000110120022202202001102100
4123301120230023102131032
5112002124302401322314
61111434451021535530
734504253236345566
oct3361305413223516
9530416282661370
10122141021120334
1135a10797237a37
12118478b8a145a6
13531cb05c76538
14222392a9d5da6
15e1c27cd08c09
hex6f162c2d274e

122141021120334 has 96 divisors (see below), whose sum is σ = 266946960623616. Its totient is φ = 40359950326080.

The previous prime is 122141021120329. The next prime is 122141021120351. The reversal of 122141021120334 is 433021120141221.

122141021120334 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 410 + 2 + 11 + 203 + 34 = 666.

122141021120334 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122141021120298 and 122141021120307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11493456729 + ... + 11493467355.

It is an arithmetic number, because the mean of its divisors is an integer number (2780697506496).

Almost surely, 2122141021120334 is an apocalyptic number.

122141021120334 is an abundant number, since it is smaller than the sum of its proper divisors (144805939503282).

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

122141021120334 is a wasteful number, since it uses less digits than its factorization.

122141021120334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20830 (or 20827 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 122141021120334 its reverse (433021120141221), we get a palindrome (555162141261555).

The spelling of 122141021120334 in words is "one hundred twenty-two trillion, one hundred forty-one billion, twenty-one million, one hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 167 334 397 501 794 1002 1191 1503 2382 3006 3573 7146 9631 10627 19262 21254 28893 31881 57786 63762 66299 86679 95643 132598 173358 191286 198897 397794 596691 1193382 1608377 1774709 3216754 3549418 3823507 4218919 4825131 5324127 7647014 8437838 9650262 10648254 11470521 12656757 14475393 15972381 22941042 25313514 28950786 31944762 34411563 37970271 68823126 75940542 102348637 204697274 307045911 614091822 638525669 704559473 921137733 1277051338 1409118946 1842275466 1915577007 2113678419 3831154014 4227356838 5746731021 6341035257 11493462042 12682070514 17092222379 34184444758 40632408889 51276667137 81264817778 102553334274 121897226667 153830001411 243794453334 307660002822 365691680001 731383360002 6785612284463 13571224568926 20356836853389 40713673706778 61070510560167 122141021120334