Search a number
-
+
331002404212212 = 223322373026945263
BaseRepresentation
bin100101101000010111000000…
…0101110010000110111110100
31121101222112001200000101222000
41023100232000232100313310
5321341120410434242322
63131552223312335300
7126502064100324345
oct11320560056206764
91541875050011860
10331002404212212
1196516370a65707
123115a597544530
1311290514c41875
145ba485d6640cc
1528401eaea83ac
hex12d0b80b90df4

331002404212212 has 96 divisors (see below), whose sum is σ = 858585331699200. Its totient is φ = 110278732427136.

The previous prime is 331002404212177. The next prime is 331002404212241. The reversal of 331002404212212 is 212212404200133.

331002404212212 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 0 + 24 + 0 + 421 + 2 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7312846693 + ... + 7312891955.

It is an arithmetic number, because the mean of its divisors is an integer number (8943597205200).

Almost surely, 2331002404212212 is an apocalyptic number.

It is an amenable number.

331002404212212 is an abundant number, since it is smaller than the sum of its proper divisors (527582927486988).

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

331002404212212 is a wasteful number, since it uses less digits than its factorization.

331002404212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77782 (or 77774 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 331002404212212 its reverse (212212404200133), we get a palindrome (543214808412345).

The spelling of 331002404212212 in words is "three hundred thirty-one trillion, two billion, four hundred four million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2237 4474 6711 8948 13422 20133 26844 30269 40266 45263 60399 60538 80532 90526 90807 120798 121076 135789 181052 181614 241596 271578 272421 363228 407367 543156 544842 814734 817263 1089684 1222101 1629468 1634526 2444202 3269052 4888404 67711753 101253331 135423506 202506662 203135259 270847012 303759993 405013324 406270518 607519986 609405777 812541036 911279979 1215039972 1218811554 1370065747 1822559958 1828217331 2437623108 2733839937 2740131494 3645119916 3656434662 4110197241 5467679874 5480262988 7312869324 8220394482 10935359748 12330591723 16440788964 24661183446 36991775169 49322366892 73983550338 147967100676 3064837076039 6129674152078 9194511228117 12259348304156 18389022456234 27583533684351 36778044912468 55167067368702 82750601053053 110334134737404 165501202106106 331002404212212