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322201113033132 = 223253168868507879
BaseRepresentation
bin100100101000010100100101…
…0111000110111100110101100
31120020211010101112220120101200
41021100221022320313212230
5314212420334414030012
63101133051541405500
7124603155641551434
oct11120511270674654
91506733345816350
10322201113033132
11937327a75a5833
1230178898a09890
1310aa2585a34068
14597c88d3972c4
15273b2cc7043dc
hex1250a4ae379ac

322201113033132 has 36 divisors (see below), whose sum is σ = 829819847722320. Its totient is φ = 105373948915872.

The previous prime is 322201113033109. The next prime is 322201113033161. The reversal of 322201113033132 is 231330311102223.

322201113033132 is a `hidden beast` number, since 3 + 2 + 220 + 1 + 1 + 1 + 303 + 3 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 322201113033096 and 322201113033105.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 84434252032 + ... + 84434255847.

It is an arithmetic number, because the mean of its divisors is an integer number (23050551325620).

Almost surely, 2322201113033132 is an apocalyptic number.

It is an amenable number.

322201113033132 is an abundant number, since it is smaller than the sum of its proper divisors (507618734689188).

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

322201113033132 is a wasteful number, since it uses less digits than its factorization.

322201113033132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168868507942 (or 168868507937 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 322201113033132 its reverse (231330311102223), we get a palindrome (553531424135355).

The spelling of 322201113033132 in words is "three hundred twenty-two trillion, two hundred one billion, one hundred thirteen million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 168868507879 337737015758 506605523637 675474031516 1013211047274 1519816570911 2026422094548 3039633141822 6079266283644 8950030917587 17900061835174 26850092752761 35800123670348 53700185505522 80550278258283 107400371011044 161100556516566 322201113033132