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213221332233 = 337133717913103
BaseRepresentation
bin1100011010010011111…
…0110101010100001001
3202101100202112221201000
43012210332311110021
511443134130112413
6241541425045213
721255552264060
oct3064476652411
9671322487630
10213221332233
1182476979858
12353a7486809
1317150506aa0
14a469dc31d7
15582e046073
hex31a4fb5509

213221332233 has 128 divisors (see below), whose sum is σ = 401548492800. Its totient is φ = 108809070336.

The previous prime is 213221332211. The next prime is 213221332243. The reversal of 213221332233 is 332233122312.

213221332233 is a `hidden beast` number, since 2 + 1 + 322 + 1 + 332 + 2 + 3 + 3 = 666.

213221332233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213221332233 - 218 = 213221070089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213221332197 and 213221332206.

It is not an unprimeable number, because it can be changed into a prime (213221332243) 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, 16266160 + ... + 16279262.

It is an arithmetic number, because the mean of its divisors is an integer number (3137097600).

Almost surely, 2213221332233 is an apocalyptic number.

It is an amenable number.

213221332233 is a deficient number, since it is larger than the sum of its proper divisors (188327160567).

213221332233 is a wasteful number, since it uses less digits than its factorization.

213221332233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13348 (or 13342 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 213221332233 its reverse (332233122312), we get a palindrome (545454454545).

The spelling of 213221332233 in words is "two hundred thirteen billion, two hundred twenty-one million, three hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 7 9 13 21 27 37 39 63 91 111 117 179 189 259 273 333 351 481 537 777 819 999 1253 1443 1611 2327 2331 2457 3367 3759 4329 4833 6623 6981 6993 10101 11277 12987 13103 16289 19869 20943 30303 33831 39309 46361 48867 59607 62829 86099 90909 91721 117927 139083 146601 170339 178821 258297 275163 353781 417249 439803 484811 511017 602693 774891 825489 1192373 1251747 1454433 1533051 1808079 2324673 2345437 2476467 3393677 3577119 4363299 4599153 5424237 6302543 7036311 10181031 10731357 13089897 16272711 16418059 18907629 21108933 30490681 30543093 32194071 44117801 49254177 56722887 63326799 86781169 91472043 91629279 132353403 147762531 170168661 213434767 260343507 274416129 397060209 443287593 607468183 640304301 781030521 823248387 1128155197 1191180627 1822404549 1920912903 2343091563 3384465591 5467213647 5762738709 7897086379 10153396773 16401640941 23691259137 30460190319 71073777411 213221332233