Search a number
-
+
112321221441 = 3111317233371987
BaseRepresentation
bin110100010011011011…
…1011101001101000001
3101201220212012020120120
41220212313131031001
53320013213041231
6123333305330453
711054265425622
oct1504667351501
9351825166516
10112321221441
11436a9446140
1219928196a29
13a790392410
1456175b7a49
152dc5cabd96
hex1a26ddd341

112321221441 has 128 divisors (see below), whose sum is σ = 195068030976. Its totient is φ = 56373166080.

The previous prime is 112321221391. The next prime is 112321221451. The reversal of 112321221441 is 144122123211.

It is not a de Polignac number, because 112321221441 - 29 = 112321220929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112321221451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56527050 + ... + 56529036.

It is an arithmetic number, because the mean of its divisors is an integer number (1523968992).

Almost surely, 2112321221441 is an apocalyptic number.

112321221441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112321221441 is a deficient number, since it is larger than the sum of its proper divisors (82746809535).

112321221441 is a wasteful number, since it uses less digits than its factorization.

112321221441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391.

The product of its digits is 768, while the sum is 24.

Adding to 112321221441 its reverse (144122123211), we get a palindrome (256443344652).

The spelling of 112321221441 in words is "one hundred twelve billion, three hundred twenty-one million, two hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 11 13 17 23 33 39 51 69 143 187 221 253 299 337 391 429 561 663 759 897 1011 1173 1987 2431 3289 3707 4301 4381 5083 5729 5961 7293 7751 9867 11121 12903 13143 15249 17187 21857 23253 25831 33779 45701 48191 55913 63019 65571 74477 77493 85261 100763 101337 131767 137103 144573 167739 189057 223431 255783 284141 302289 371569 395301 439127 502711 594113 669619 776917 819247 852423 1108393 1114707 1317381 1449437 1508133 1712971 1782339 2008857 2330751 2457741 3325179 4348311 4830397 5138913 6535243 7365809 8546087 8705047 10099921 11383523 14491191 15401237 18842681 19605729 22097427 25638261 26115141 30299763 34150569 46203711 56528043 95755517 111099131 125218753 147985799 169413607 200216081 261821029 287266551 333297393 375656259 443957397 508240821 600648243 785463087 1627843789 2202376891 2880031319 3403673377 4883531367 6607130673 8640093957 10211020131 37440407147 112321221441