Search a number
-
+
123114412443 = 311223294611103
BaseRepresentation
bin111001010101000110…
…0001101100110011011
3102202210001111011012110
41302222030031212123
54004114242144233
6132320305043403
711615614145031
oct1625214154633
9382701434173
10123114412443
1148237970300
121ba3a926563
13b7c04ba479
145d5cc12551
1533085e9663
hex1caa30d99b

123114412443 has 96 divisors (see below), whose sum is σ = 195368785920. Its totient is φ = 68697798400.

The previous prime is 123114412391. The next prime is 123114412451. The reversal of 123114412443 is 344214411321.

It is a happy number.

It is not a de Polignac number, because 123114412443 - 214 = 123114396059 is a prime.

It is a super-2 number, since 2×1231144124432 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123114412443.

It is not an unprimeable number, because it can be changed into a prime (123114412643) 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 95 ways as a sum of consecutive naturals, for example, 111617230 + ... + 111618332.

It is an arithmetic number, because the mean of its divisors is an integer number (2035091520).

Almost surely, 2123114412443 is an apocalyptic number.

123114412443 is a deficient number, since it is larger than the sum of its proper divisors (72254373477).

123114412443 is a wasteful number, since it uses less digits than its factorization.

123114412443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1630 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 123114412443 its reverse (344214411321), we get a palindrome (467328823764).

The spelling of 123114412443 in words is "one hundred twenty-three billion, one hundred fourteen million, four hundred twelve thousand, four hundred forty-three".

Divisors: 1 3 11 23 29 33 69 87 121 253 319 363 461 667 759 957 1103 1383 2001 2783 3309 3509 5071 7337 8349 10527 10603 12133 13369 15213 22011 25369 31809 31987 36399 40107 55781 76107 80707 95961 116633 133463 147059 167343 242121 279059 307487 349899 351857 400389 441177 508483 735701 837177 922461 1055571 1282963 1525449 1617649 2207103 3069649 3382357 3848889 3870427 4852947 5593313 8092711 9208947 10147071 11611281 11695109 14746007 16779939 24278133 35085327 37205927 44238021 61526443 89019821 111617781 128646199 162206077 184579329 267059463 339158161 385938597 486618231 1017474483 1415108189 1784266847 3730739771 4245324567 5352800541 11192219313 41038137481 123114412443