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221231031431 = 23671071341713
BaseRepresentation
bin1100111000001001100…
…1011010010010000111
3210011000222012211101212
43032002121122102013
512111040121001211
6245344312442035
721661211511554
oct3160231322207
9704028184355
10221231031431
1185907171373
1236a619a931b
1317b28a64877
14a9c9a93a2b
155b4c30a38b
hex338265a487

221231031431 has 16 divisors (see below), whose sum is σ = 236485142784. Its totient is φ = 206505577344.

The previous prime is 221231031407. The next prime is 221231031433. The reversal of 221231031431 is 134130132122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221231031431 is a prime.

It is a super-2 number, since 2×2212310314312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221231031397 and 221231031406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221231031433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505970 + ... + 835743.

It is an arithmetic number, because the mean of its divisors is an integer number (14780321424).

Almost surely, 2221231031431 is an apocalyptic number.

221231031431 is a deficient number, since it is larger than the sum of its proper divisors (15254111353).

221231031431 is a wasteful number, since it uses less digits than its factorization.

221231031431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341910.

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

Adding to 221231031431 its reverse (134130132122), we get a palindrome (355361163553).

The spelling of 221231031431 in words is "two hundred twenty-one billion, two hundred thirty-one million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 23 67 107 1541 2461 7169 164887 1341713 30859399 89894771 143563291 2067579733 3301955693 9618740497 221231031431