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1211431214224 = 24711983304557
BaseRepresentation
bin10001101000001110111…
…011010101110010010000
311021210220201112221221001
4101220032323111302100
5124322002342323344
62324305051111344
7153344252264140
oct21501673256220
94253821487831
101211431214224
1142784637a580
12176949a42554
138a3119624aa
14428c27a6920
15217a3556ed4
hex11a0eed5c90

1211431214224 has 40 divisors (see below), whose sum is σ = 2926314364608. Its totient is φ = 471986186880.

The previous prime is 1211431214221. The next prime is 1211431214249. The reversal of 1211431214224 is 4224121341121.

It is a super-3 number, since 3×12114312142243 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1211431214192 and 1211431214201.

It is not an unprimeable number, because it can be changed into a prime (1211431214221) 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 7 ways as a sum of consecutive naturals, for example, 491651047 + ... + 491653510.

Almost surely, 21211431214224 is an apocalyptic number.

1211431214224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1211431214224 is an abundant number, since it is smaller than the sum of its proper divisors (1714883150384).

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

1211431214224 is a wasteful number, since it uses less digits than its factorization.

1211431214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983304583 (or 983304577 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

Adding to 1211431214224 its reverse (4224121341121), we get a palindrome (5435552555345).

The spelling of 1211431214224 in words is "one trillion, two hundred eleven billion, four hundred thirty-one million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 983304557 1966609114 3933218228 6883131899 7866436456 10816350127 13766263798 15732872912 21632700254 27532527596 43265400508 55065055192 75714450889 86530801016 110130110384 151428901778 173061602032 302857803556 605715607112 1211431214224