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132211313322 = 231122113492473
BaseRepresentation
bin111101100100001101…
…0001000101010101010
3110122021000220121020020
41323020122020222222
54131232044011242
6140423111141310
712360214422654
oct1731032105252
9418230817206
10132211313322
1151085926600
1221759374836
13c61006775a
14658304d6d4
15368c0676ec
hex1ec8688aaa

132211313322 has 96 divisors (see below), whose sum is σ = 292978996800. Its totient is φ = 39743827200.

The previous prime is 132211313321. The next prime is 132211313327. The reversal of 132211313322 is 223313112231.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132211313292 and 132211313301.

It is not an unprimeable number, because it can be changed into a prime (132211313321) 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 47 ways as a sum of consecutive naturals, for example, 53460678 + ... + 53463150.

It is an arithmetic number, because the mean of its divisors is an integer number (3051864550).

Almost surely, 2132211313322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132211313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146489498400).

132211313322 is an abundant number, since it is smaller than the sum of its proper divisors (160767683478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132211313322 is a wasteful number, since it uses less digits than its factorization.

132211313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3049 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 132211313322 its reverse (223313112231), we get a palindrome (355524425553).

The spelling of 132211313322 in words is "one hundred thirty-two billion, two hundred eleven million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 211 242 349 363 422 633 698 726 1047 1266 2094 2321 2473 3839 4642 4946 6963 7419 7678 11517 13926 14838 23034 25531 27203 42229 51062 54406 73639 76593 81609 84458 126687 147278 153186 163218 220917 253374 299233 441834 521803 598466 810029 863077 897699 1043606 1565409 1620058 1726154 1795398 2430087 2589231 3130818 4860174 5178462 5739833 8910319 9493847 11479666 17219499 17820638 18987694 26730957 28481541 34438998 53461914 56963082 63138163 104432317 126276326 182109247 189414489 208864634 313296951 364218494 378828978 546327741 626593902 1092655482 2003201717 4006403434 6009605151 12019210302 22035218887 44070437774 66105656661 132211313322