Search a number
-
+
1211433431 = 13281401827
BaseRepresentation
bin100100000110101…
…0000000111010111
310010102112012020212
41020031100013113
54440111332211
6320113120035
742010004615
oct11015200727
93112465225
101211433431
1157190595a
1229985901b
13163c98620
14b6c686b5
157154838b
hex483501d7

1211433431 has 16 divisors (see below), whose sum is σ = 1314115488. Its totient is φ = 1110144000.

The previous prime is 1211433383. The next prime is 1211433449. The reversal of 1211433431 is 1343341121.

It is a cyclic number.

It is not a de Polignac number, because 1211433431 - 210 = 1211432407 is a prime.

It is a super-3 number, since 3×12114334313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1211433397 and 1211433406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211433731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464440 + ... + 1465266.

It is an arithmetic number, because the mean of its divisors is an integer number (82132218).

Almost surely, 21211433431 is an apocalyptic number.

1211433431 is a deficient number, since it is larger than the sum of its proper divisors (102682057).

1211433431 is a wasteful number, since it uses less digits than its factorization.

1211433431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522.

The product of its digits is 864, while the sum is 23.

The square root of 1211433431 is about 34805.6522852252. The cubic root of 1211433431 is about 1066.0228605967.

Adding to 1211433431 its reverse (1343341121), we get a palindrome (2554774552).

The spelling of 1211433431 in words is "one billion, two hundred eleven million, four hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 13 281 401 827 3653 5213 10751 112681 232387 331627 1464853 3021031 4311151 93187187 1211433431