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321111121232196 = 223223439018961949
BaseRepresentation
bin100100100000011001000001…
…0010100001000000101000100
31120002221220221011000222210100
41021000302002110020011010
5314042041034013412241
63054540225042324100
7124431340634245011
oct11100620224100504
91502856834028710
10321111121232196
1193352509649939
12300215a0959630
1310a23858557189
145941c0b188708
15271cc856d09b6
hex1240c82508144

321111121232196 has 72 divisors (see below), whose sum is σ = 866686167547200. Its totient is φ = 100002250079424.

The previous prime is 321111121232147. The next prime is 321111121232207. The reversal of 321111121232196 is 691232121111123.

321111121232196 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 111 + 212 + 321 + 9 + 6 = 666.

It is a super-2 number, since 2×3211111212321962 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 321111121232196.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4509445371 + ... + 4509516578.

It is an arithmetic number, because the mean of its divisors is an integer number (12037307882600).

Almost surely, 2321111121232196 is an apocalyptic number.

321111121232196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

321111121232196 is an abundant number, since it is smaller than the sum of its proper divisors (545575046315004).

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

321111121232196 is a wasteful number, since it uses less digits than its factorization.

321111121232196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018962025 (or 9018962020 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The spelling of 321111121232196 in words is "three hundred twenty-one trillion, one hundred eleven billion, one hundred twenty-one million, two hundred thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 258 276 387 414 516 774 828 989 1548 1978 2967 3956 5934 8901 11868 17802 35604 9018961949 18037923898 27056885847 36075847796 54113771694 81170657541 108227543388 162341315082 207436124827 324682630164 387815363807 414872249654 622308374481 775630727614 829744499308 1163446091421 1244616748962 1551261455228 1866925123443 2326892182842 2489233497924 3490338274263 3733850246886 4653784365684 6980676548526 7467700493772 8919753367561 13961353097052 17839506735122 26759260102683 35679013470244 53518520205366 80277780308049 107037040410732 160555560616098 321111121232196