Search a number
-
+
12311222322312 = 23321288913266289
BaseRepresentation
bin1011001100100110111000…
…0010001000010010001000
31121120221102020210011122200
42303021232002020102020
53103201340403303222
642103410352320200
72410312365055614
oct263115602102210
947527366704580
1012311222322312
113a17184058a41
121469bb7543060
136b3c355175a4
14307c1b344344
1516539a936eac
hexb326e088488

12311222322312 has 48 divisors (see below), whose sum is σ = 33345483229500. Its totient is φ = 4103422073856.

The previous prime is 12311222322253. The next prime is 12311222322403. The reversal of 12311222322312 is 21322322211321.

12311222322312 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 2 + 22 + 322 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10439322228036 + 1871900094276 = 3230994^2 + 1368174^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5705137 + ... + 7561152.

Almost surely, 212311222322312 is an apocalyptic number.

12311222322312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12311222322312 is an abundant number, since it is smaller than the sum of its proper divisors (21034260907188).

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

12311222322312 is a wasteful number, since it uses less digits than its factorization.

12311222322312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13279190 (or 13279183 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12311222322312 its reverse (21322322211321), we get a palindrome (33633544533633).

The spelling of 12311222322312 in words is "twelve trillion, three hundred eleven billion, two hundred twenty-two million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 12889 25778 38667 51556 77334 103112 116001 154668 232002 309336 464004 928008 13266289 26532578 39798867 53065156 79597734 106130312 119396601 159195468 238793202 318390936 477586404 955172808 170989198921 341978397842 512967596763 683956795684 1025935193526 1367913591368 1538902790289 2051870387052 3077805580578 4103740774104 6155611161156 12311222322312