Search a number
-
+
331121203330230 = 23354215729090657
BaseRepresentation
bin100101101001001110010100…
…1101100111011110010110110
31121102101212200222111220002000
41023102130221230323302312
5321400042211023031410
63132122551510000130
7126513501045216165
oct11322345154736266
91542355628456060
10331121203330230
1196561793a71385
1231179611046046
131129b7983b6181
145baa4cd2cb3dc
1528433507ebdc0
hex12d2729b3bcb6

331121203330230 has 64 divisors (see below), whose sum is σ = 883010851174080. Its totient is φ = 88296889992192.

The previous prime is 331121203330219. The next prime is 331121203330249. The reversal of 331121203330230 is 32033302121133.

331121203330230 is a `hidden beast` number, since 3 + 3 + 1 + 121 + 203 + 3 + 302 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 331121203330194 and 331121203330203.

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, 3162939 + ... + 25927718.

It is an arithmetic number, because the mean of its divisors is an integer number (13797044549595).

Almost surely, 2331121203330230 is an apocalyptic number.

331121203330230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331121203330230 is an abundant number, since it is smaller than the sum of its proper divisors (551889647843850).

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

331121203330230 is a wasteful number, since it uses less digits than its factorization.

331121203330230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29132830 (or 29132824 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 331121203330230 its reverse (32033302121133), we get a palindrome (363154505451363).

The spelling of 331121203330230 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred three million, three hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 42157 84314 126471 210785 252942 379413 421570 632355 758826 1138239 1264710 1897065 2276478 3794130 5691195 11382390 29090657 58181314 87271971 145453285 174543942 261815913 290906570 436359855 523631826 785447739 872719710 1309079565 1570895478 2618159130 3927238695 7854477390 1226374827149 2452749654298 3679124481447 6131874135745 7358248962894 11037373444341 12263748271490 18395622407235 22074746888682 33112120333023 36791244814470 55186867221705 66224240666046 110373734443410 165560601665115 331121203330230