Search a number
-
+
322231132212213 = 371937661138123911
BaseRepresentation
bin100100101000100010100100…
…0001010111100101111110101
31120020220222212122021212112010
41021101011020022330233311
5314213413324321242323
63101154534420514433
7124605300563430120
oct11121051012745765
91506828778255463
10322231132212213
1193744501649344
123018267624ba19
1310aa535b082a13
1459800da1953b7
15273be87d6ac93
hex12511482bcbf5

322231132212213 has 128 divisors (see below), whose sum is σ = 532041494978560. Its totient is φ = 169339724928000.

The previous prime is 322231132212161. The next prime is 322231132212307. The reversal of 322231132212213 is 312212231132223.

It is a happy number.

It is not a de Polignac number, because 322231132212213 - 221 = 322231130115061 is a prime.

It is a super-3 number, since 3×3222311322122133 (a number of 45 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322231132222213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13476259728 + ... + 13476283638.

It is an arithmetic number, because the mean of its divisors is an integer number (4156574179520).

Almost surely, 2322231132212213 is an apocalyptic number.

It is an amenable number.

322231132212213 is a deficient number, since it is larger than the sum of its proper divisors (209810362766347).

322231132212213 is a wasteful number, since it uses less digits than its factorization.

322231132212213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26019.

The product of its digits is 10368, while the sum is 30.

Adding to 322231132212213 its reverse (312212231132223), we get a palindrome (634443363344436).

The spelling of 322231132212213 in words is "three hundred twenty-two trillion, two hundred thirty-one billion, one hundred thirty-two million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 7 19 21 37 57 111 133 259 399 661 703 777 1381 1983 2109 4143 4627 4921 9667 12559 13881 14763 23911 24457 26239 29001 37677 51097 71733 73371 78717 87913 153291 167377 171199 183673 263739 357679 454309 464683 502131 513597 551019 884707 912841 970843 1073037 1362927 1394049 2654121 2738523 2912529 3180163 3252781 6192949 6389887 6795901 9540489 9758343 15805171 16809433 17343979 18578847 19169661 20387703 33021091 33775117 47415513 50428299 52031937 99063273 101325351 110636197 117666031 121407853 231147637 236425819 300298249 331908591 352998093 364223559 584791327 627400729 641727223 693442911 709277457 900894747 1221780367 1754373981 1882202187 1925181669 2102087743 3665341101 4093539289 4391805103 4492090561 6306263229 8552462569 11111035213 12280617867 13175415309 13476271683 21826941151 23213826973 25657387707 33333105639 65480823453 69641480919 77777246491 152788588057 162496788811 233331739473 414711881869 458365764171 487490366433 807596822587 1244135645607 2422790467761 2902983173083 5653177758109 8708949519249 15344339629153 16959533274327 46033018887459 107410377404071 322231132212213