Search a number
-
+
330212332120 = 235114161300073
BaseRepresentation
bin1001100111000100011…
…00000101001001011000
31011120100001202112000211
410303202030011021120
520402233324111440
6411410352140504
732566653340306
oct4634214051130
91146301675024
10330212332120
11118051286620
1253bb7537734
13251a61a81c8
1411da785d276
1588c9c7aeea
hex4ce2305258

330212332120 has 128 divisors (see below), whose sum is σ = 843904111680. Its totient is φ = 115227648000.

The previous prime is 330212332111. The next prime is 330212332129. The reversal of 330212332120 is 21233212033.

It is an interprime number because it is at equal distance from previous prime (330212332111) and next prime (330212332129).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 330212332091 and 330212332100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330212332129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 950404 + ... + 1250476.

Almost surely, 2330212332120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330212332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421952055840).

330212332120 is an abundant number, since it is smaller than the sum of its proper divisors (513691779560).

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

330212332120 is a wasteful number, since it uses less digits than its factorization.

330212332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300197 (or 300193 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 330212332120 its reverse (21233212033), we get a palindrome (351445544153).

The spelling of 330212332120 in words is "three hundred thirty billion, two hundred twelve million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 61 82 88 110 122 164 205 220 244 305 328 410 440 451 488 610 671 820 902 1220 1342 1640 1804 2255 2440 2501 2684 3355 3608 4510 5002 5368 6710 9020 10004 12505 13420 18040 20008 25010 26840 27511 50020 55022 100040 110044 137555 220088 275110 300073 550220 600146 1100440 1200292 1500365 2400584 3000730 3300803 6001460 6601606 12002920 12302993 13203212 16504015 18304453 24605986 26406424 33008030 36608906 49211972 61514965 66016060 73217812 91522265 98423944 123029930 132032120 135332923 146435624 183044530 201348983 246059860 270665846 366089060 402697966 492119720 541331692 676664615 732178120 750482573 805395932 1006744915 1082663384 1353329230 1500965146 1610791864 2013489830 2706658460 3001930292 3752412865 4026979660 5413316920 6003860584 7504825730 8053959320 8255308303 15009651460 16510616606 30019302920 33021233212 41276541515 66042466424 82553083030 165106166060 330212332120