Search a number
-
+
122342200034103 = 327163203920892797
BaseRepresentation
bin11011110100010100000011…
…010111111100001100110111
3121001011210121021100202120200
4123310110003113330030313
5112013423311202042403
61112111121504131543
734524634524036150
oct3364240327741467
9531153537322520
10122342200034103
1135a89043512535
121187a8a3306bb3
135335a875b620a
14222d5734b8927
15e22604a00ca3
hex6f45035fc337

122342200034103 has 96 divisors (see below), whose sum is σ = 203470452556800. Its totient is φ = 69388796717568.

The previous prime is 122342200034099. The next prime is 122342200034161. The reversal of 122342200034103 is 301430002243221.

122342200034103 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 42 + 200 + 0 + 3 + 410 + 3 = 666.

It is not a de Polignac number, because 122342200034103 - 22 = 122342200034099 is a prime.

It is a super-2 number, since 2×1223422000341032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122342200034903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43740506301 + ... + 43740509097.

It is an arithmetic number, because the mean of its divisors is an integer number (2119483880800).

Almost surely, 2122342200034103 is an apocalyptic number.

122342200034103 is a deficient number, since it is larger than the sum of its proper divisors (81128252522697).

122342200034103 is a wasteful number, since it uses less digits than its factorization.

122342200034103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7101 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122342200034103 its reverse (301430002243221), we get a palindrome (423772202277324).

The spelling of 122342200034103 in words is "one hundred twenty-two trillion, three hundred forty-two billion, two hundred million, thirty-four thousand, one hundred three".

Divisors: 1 3 7 9 21 63 163 489 1141 1467 2039 2089 2797 3423 6117 6267 8391 10269 14273 14623 18351 18801 19579 25173 42819 43869 58737 128457 131607 176211 332357 340507 455911 997071 1021521 1367733 2326499 2383549 2991213 3064563 3191377 4103199 4259471 5703083 5842933 6979497 7150647 9574131 12778413 17109249 17528799 20938491 21451941 28722393 29816297 38335239 39921581 40900531 51327747 52586397 89448891 119764743 122701593 268346673 359294229 368104779 694293773 929602529 952398079 2082881319 2788807587 2857194237 4860056411 6248643957 6507217703 6666786553 8366422761 8571582711 11913740387 14580169233 19521653109 20000359659 35741221161 43740507699 58564959327 60001078977 83396182709 107223663483 250188548127 750565644381 1941939683081 5825819049243 13593577781567 17477457147729 40780733344701 122342200034103