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221232112031 = 7972719119831
BaseRepresentation
bin1100111000001001110…
…1100010000110011111
3210011001001020201201002
43032002131202012133
512111040410041111
6245344351540515
721661223632160
oct3160235420637
9704031221632
10221232112031
118590783a227
1236a6222a73b
1317b29052688
14a9c9c95767
155b4c47063b
hex338276219f

221232112031 has 16 divisors (see below), whose sum is σ = 255539343360. Its totient is φ = 187602013440.

The previous prime is 221232111979. The next prime is 221232112043. The reversal of 221232112031 is 130211232122.

221232112031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221232112031 - 214 = 221232095647 is a prime.

It is a super-2 number, since 2×2212321120312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221232111994 and 221232112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221232112531) 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 15 ways as a sum of consecutive naturals, for example, 1786286 + ... + 1906116.

It is an arithmetic number, because the mean of its divisors is an integer number (15971208960).

Almost surely, 2221232112031 is an apocalyptic number.

221232112031 is a deficient number, since it is larger than the sum of its proper divisors (34307231329).

221232112031 is a wasteful number, since it uses less digits than its factorization.

221232112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122654.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221232112031 its reverse (130211232122), we get a palindrome (351443344153).

The spelling of 221232112031 in words is "two hundred twenty-one billion, two hundred thirty-two million, one hundred twelve thousand, thirty-one".

Divisors: 1 7 97 679 2719 19033 119831 263743 838817 1846201 11623607 81365249 325820489 2280743423 31604587433 221232112031