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1003223122231 = 113111833248627
BaseRepresentation
bin11101001100101001100…
…00100000000100110111
310112220111100021222222111
432212110300200010313
5112414100104402411
62044512505111451
7132323542560601
oct16462460400467
93486440258874
101003223122231
11357512331380
12142521488587
13737acc71965
14367b0530171
151b1696d0721
hexe994c20137

1003223122231 has 16 divisors (see below), whose sum is σ = 1129829280768. Its totient is φ = 882522849600.

The previous prime is 1003223122147. The next prime is 1003223122241. The reversal of 1003223122231 is 1322213223001.

It is a cyclic number.

It is not a de Polignac number, because 1003223122231 - 211 = 1003223120183 is a prime.

It is a super-2 number, since 2×10032231222312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003223122241) 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, 3910740 + ... + 4159366.

It is an arithmetic number, because the mean of its divisors is an integer number (70614330048).

Almost surely, 21003223122231 is an apocalyptic number.

1003223122231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1003223122231 is a deficient number, since it is larger than the sum of its proper divisors (126606158537).

1003223122231 is a wasteful number, since it uses less digits than its factorization.

1003223122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260502.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1003223122231 its reverse (1322213223001), we get a palindrome (2325436345232).

The spelling of 1003223122231 in words is "one trillion, three billion, two hundred twenty-three million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 31 341 11833 130163 248627 366823 2734897 4035053 7707437 84781807 2942003291 32362036201 91202102021 1003223122231