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32232241041 = 371113193118223
BaseRepresentation
bin11110000001001100…
…001111011110010001
310002012022122111102020
4132001030033132101
51012002423203131
622450212442053
72220513346140
oct360114173621
9102168574366
1032232241041
1112740294840
1262b6619329
1330689a47a0
1417baab9757
15c89ab3996
hex78130f791

32232241041 has 128 divisors (see below), whose sum is σ = 62702223360. Its totient is φ = 14169427200.

The previous prime is 32232241039. The next prime is 32232241049. The reversal of 32232241041 is 14014223223.

It is a happy number.

It is not a de Polignac number, because 32232241041 - 21 = 32232241039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32232241049) 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 127 ways as a sum of consecutive naturals, for example, 1759656 + ... + 1777878.

It is an arithmetic number, because the mean of its divisors is an integer number (489861120).

Almost surely, 232232241041 is an apocalyptic number.

32232241041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

32232241041 is a deficient number, since it is larger than the sum of its proper divisors (30469982319).

32232241041 is a wasteful number, since it uses less digits than its factorization.

32232241041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18307.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 32232241041 its reverse (14014223223), we get a palindrome (46246464264).

It can be divided in two parts, 322322 and 41041, that added together give a palindrome (363363).

The spelling of 32232241041 in words is "thirty-two billion, two hundred thirty-two million, two hundred forty-one thousand, forty-one".

Divisors: 1 3 7 11 13 19 21 31 33 39 57 77 91 93 133 143 209 217 231 247 273 341 399 403 429 589 627 651 741 1001 1023 1209 1463 1729 1767 2387 2717 2821 3003 4123 4389 4433 5187 6479 7161 7657 8151 8463 12369 13299 18223 19019 19437 22971 31031 45353 53599 54669 57057 84227 93093 127561 136059 160797 200453 236899 252681 346237 382683 564913 589589 601359 710697 1038711 1403171 1658293 1694739 1768767 2423659 2605889 3808607 3954391 4209513 4501081 4974879 6214043 7270977 7343869 7817667 10733347 11425821 11863173 13503243 18241223 18642129 22031607 26660249 31507567 32200041 43498301 49511891 51407083 54723669 75133429 79980747 80782559 94522701 118066817 130494903 139533511 148535673 154221249 225400287 242347677 346583237 354200451 418600533 565477913 826467719 976734577 1039749711 1534868621 1696433739 2479403157 2930203731 4604605863 10744080347 32232241041