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122111221323 = 371317372572767
BaseRepresentation
bin111000110111001100…
…1010101111001001011
3102200012010210202200210
41301232121111321023
54000040433040243
6132032551132203
711552013153420
oct1615631257113
9380163722623
10122111221323
1147872667a33
121b7ba974063
13b690703960
145ca58b3d47
15329a4d7933
hex1c6e655e4b

122111221323 has 128 divisors (see below), whose sum is σ = 218836574208. Its totient is φ = 58732314624.

The previous prime is 122111221283. The next prime is 122111221343. The reversal of 122111221323 is 323122111221.

It is not a de Polignac number, because 122111221323 - 214 = 122111204939 is a prime.

It is a super-2 number, since 2×1221112213232 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122111221323.

It is not an unprimeable number, because it can be changed into a prime (122111221343) 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, 44129886 + ... + 44132652.

It is an arithmetic number, because the mean of its divisors is an integer number (1709660736).

Almost surely, 2122111221323 is an apocalyptic number.

122111221323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122111221323 is a deficient number, since it is larger than the sum of its proper divisors (96725352885).

122111221323 is a wasteful number, since it uses less digits than its factorization.

122111221323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101.

The product of its digits is 288, while the sum is 21.

Adding to 122111221323 its reverse (323122111221), we get a palindrome (445233332544).

The spelling of 122111221323 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 13 17 21 37 39 51 91 111 119 221 257 259 273 357 481 629 663 771 777 1443 1547 1799 1887 2767 3341 3367 4369 4403 4641 5397 8177 8301 9509 10023 10101 13107 13209 19369 23387 24531 28527 30583 35971 47039 56797 57239 58107 66563 70161 91749 102379 107913 123617 141117 161653 170391 171717 199689 251797 307137 329273 370851 397579 484959 611507 711119 716653 755391 865319 987819 1131571 1192737 1330927 1740443 1834521 2101489 2133357 2149959 2595957 3394713 3992781 4280549 4977833 5221329 6304467 9244547 9316489 12089023 12183101 12841647 14710423 14933499 22625759 26311403 27733641 27949467 36267069 36549303 44131269 64711829 67877277 78934209 84623161 157157299 158380313 184179821 194135487 253869483 342048239 447293851 471471897 475140939 552539463 1026144717 1100101093 1341881553 2394337673 3131056957 3300303279 5814820063 7183013019 9393170871 17444460189 40703740441 122111221323