Search a number
-
+
331000212200994 = 232715111738574329
BaseRepresentation
bin100101101000010101111111…
…0000100011001111000100010
31121101222022101220100200212100
41023100223332010121320202
5321341101413310412434
63131551222010111230
7126501655552460160
oct11320537604317042
91541868356320770
10331000212200994
11965154466a2196
123115a08541b516
1311290255a794cb
145ba46d24a6230
15284011d818699
hex12d0afe119e22

331000212200994 has 48 divisors (see below), whose sum is σ = 820162008731520. Its totient is φ = 94508900470080.

The previous prime is 331000212200971. The next prime is 331000212201031. The reversal of 331000212200994 is 499002212000133.

331000212200994 is a `hidden beast` number, since 331 + 0 + 0 + 0 + 212 + 20 + 0 + 9 + 94 = 666.

It is a super-2 number, since 2×3310002122009942 (a number of 30 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 869096779 + ... + 869477550.

It is an arithmetic number, because the mean of its divisors is an integer number (17086708515240).

Almost surely, 2331000212200994 is an apocalyptic number.

331000212200994 is an abundant number, since it is smaller than the sum of its proper divisors (489161796530526).

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

331000212200994 is a wasteful number, since it uses less digits than its factorization.

331000212200994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738575855 (or 1738575852 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 331000212200994 in words is "three hundred thirty-one trillion, two hundred twelve million, two hundred thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1511 3022 4533 9066 10577 13599 21154 27198 31731 63462 95193 190386 1738574329 3477148658 5215722987 10431445974 12170020303 15647168961 24340040606 31294337922 36510060909 73020121818 109530182727 219060365454 2626985811119 5253971622238 7880957433357 15761914866714 18388900677833 23642872300071 36777801355666 47285744600142 55166702033499 110333404066998 165500106100497 331000212200994