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21332231230233 = 37116713715764081
BaseRepresentation
bin1001101100110110011000…
…00100001001001100011001
32210112100012212120002201210
410312123030010021030121
510244001402143331413
6113211520340533333
74331126401442460
oct466331404111431
983470185502653
1021332231230233
116884a48443590
1224863b50b1249
13bb980baba831
1453a6b22db9d7
1526ed787203c3
hex1366cc109319

21332231230233 has 128 divisors (see below), whose sum is σ = 36484833447936. Its totient is φ = 10767408537600.

The previous prime is 21332231230153. The next prime is 21332231230279. The reversal of 21332231230233 is 33203213223312.

It is not a de Polignac number, because 21332231230233 - 28 = 21332231229977 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21332231230233.

It is not an unprimeable number, because it can be changed into a prime (21332231230283) 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 127 ways as a sum of consecutive naturals, for example, 332862753 + ... + 332926833.

It is an arithmetic number, because the mean of its divisors is an integer number (285037761312).

Almost surely, 221332231230233 is an apocalyptic number.

It is an amenable number.

21332231230233 is a deficient number, since it is larger than the sum of its proper divisors (15152602217703).

21332231230233 is a wasteful number, since it uses less digits than its factorization.

21332231230233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64463.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 21332231230233 its reverse (33203213223312), we get a palindrome (54535444453545).

The spelling of 21332231230233 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred thirty-one million, two hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 7 11 21 33 67 77 137 157 201 231 411 469 471 737 959 1099 1407 1507 1727 2211 2877 3297 4521 5159 5181 9179 10519 10549 12089 15477 21509 27537 31557 31647 36267 64081 64253 64527 73633 100969 115709 150563 192243 192759 220899 236599 302907 347127 448567 451689 704891 706783 709797 809963 1345701 1441103 1656193 2114673 2120349 2429889 4293427 4323309 4934237 4968579 8779097 10060717 10087721 12880281 14802711 15852133 26337291 30053989 30182151 30263163 47227697 47556399 61453679 70425019 90161967 96570067 110667887 110964931 141683091 184361037 211275057 289710201 330593879 332003661 332894793 588199499 674068039 675990469 774675209 991781637 1378318229 1764598497 2022204117 2027971407 2324025627 4117396493 4134954687 4718476273 6470194489 7414748429 9648227603 12352189479 14155428819 15161500519 19410583467 22244245287 28944682809 45291361423 45484501557 51903239003 92347321343 106130503633 135874084269 155709717009 277041964029 318391510899 646431249401 1015820534773 1939293748203 3047461604319 7110743743411 21332231230233