Search a number
-
+
331000028610 = 235291583240341
BaseRepresentation
bin1001101000100010010…
…00111001110111000010
31011122100221221122110220
410310101020321313002
520410342001403420
6412020451203510
732625326551446
oct4642110716702
91148327848426
10331000028610
11118415983659
12541972a6596
13252a0440bc4
1412040304826
158923ec2840
hex4d11239dc2

331000028610 has 64 divisors (see below), whose sum is σ = 822315732480. Its totient is φ = 85168805120.

The previous prime is 331000028549. The next prime is 331000028617. The reversal of 331000028610 is 16820000133.

It is a super-2 number, since 2×3310000286102 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331000028617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257040 + ... + 1497380.

It is an arithmetic number, because the mean of its divisors is an integer number (12848683320).

Almost surely, 2331000028610 is an apocalyptic number.

331000028610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331000028610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411157866240).

331000028610 is an abundant number, since it is smaller than the sum of its proper divisors (491315703870).

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

331000028610 is a wasteful number, since it uses less digits than its factorization.

331000028610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241963.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 331000028610 its reverse (16820000133), we get a palindrome (347820028743).

The spelling of 331000028610 in words is "three hundred thirty-one billion, twenty-eight thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1583 3166 4749 7915 9498 15830 23745 45907 47490 91814 137721 229535 240341 275442 459070 480682 688605 721023 1201705 1377210 1442046 2403410 3605115 6969889 7210230 13939778 20909667 34849445 41819334 69698890 104548335 209096670 380459803 760919606 1141379409 1902299015 2282758818 3804598030 5706897045 11033334287 11413794090 22066668574 33100002861 55166671435 66200005722 110333342870 165500014305 331000028610