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122313220211052 = 22341389326283439
BaseRepresentation
bin11011110011111001000100…
…000010101100000101101100
3121001002000210121201012220000
4123303321010002230011230
5112012434433333223202
61112045530114024300
734522560422435133
oct3363710402540554
9531060717635800
10122313220211052
1135a77822123552
1211875155b78090
1353331196a4120
14222bdc475091a
15e219aa74191c
hex6f3e440ac16c

122313220211052 has 120 divisors (see below), whose sum is σ = 348216212836800. Its totient is φ = 37211973537024.

The previous prime is 122313220211003. The next prime is 122313220211069. The reversal of 122313220211052 is 250112022313221.

122313220211052 is a `hidden beast` number, since 1 + 2 + 2 + 313 + 220 + 21 + 105 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162766852 + ... + 163516587.

It is an arithmetic number, because the mean of its divisors is an integer number (2901801773640).

Almost surely, 2122313220211052 is an apocalyptic number.

122313220211052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122313220211052 is an abundant number, since it is smaller than the sum of its proper divisors (225902992625748).

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

122313220211052 is a wasteful number, since it uses less digits than its factorization.

122313220211052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326283557 (or 326283546 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 122313220211052 its reverse (250112022313221), we get a palindrome (372425242524273).

The spelling of 122313220211052 in words is "one hundred twenty-two trillion, three hundred thirteen billion, two hundred twenty million, two hundred eleven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 89 108 117 156 162 178 234 267 324 351 356 468 534 702 801 1053 1068 1157 1404 1602 2106 2314 2403 3204 3471 4212 4628 4806 6942 7209 9612 10413 13884 14418 20826 28836 31239 41652 62478 93717 124956 187434 374868 326283439 652566878 978850317 1305133756 1957700634 2936550951 3915401268 4241684707 5873101902 8483369414 8809652853 11746203804 12725054121 16966738828 17619305706 25450108242 26428958559 29039226071 35238611412 38175162363 50900216484 52857917118 58078452142 76350324726 87117678213 105715834236 114525487089 116156904284 152700649452 174235356426 229050974178 261353034639 343576461267 348470712852 377509938923 458101948356 522706069278 687152922534 755019877846 784059103917 1045412138556 1132529816769 1374305845068 1510039755692 1568118207834 2265059633538 2352177311751 3136236415668 3397589450307 4530119267076 4704354623502 6795178900614 9408709247004 10192768350921 13590357801228 20385536701842 30578305052763 40771073403684 61156610105526 122313220211052