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42231000330 = 232517109253229
BaseRepresentation
bin100111010101001010…
…011110110100001010
311001000011002002121100
4213111022132310022
51142442114002310
631222312522230
73023344402641
oct472512366412
9131004062540
1042231000330
1116a01331672
1282270b0376
133ca03492bc
1420889d8358
1511727c8ec0
hex9d529ed0a

42231000330 has 96 divisors (see below), whose sum is σ = 117326523600. Its totient is φ = 10501871616.

The previous prime is 42231000307. The next prime is 42231000379. The reversal of 42231000330 is 3300013224.

42231000330 is a `hidden beast` number, since 4 + 22 + 310 + 0 + 0 + 330 = 666.

42231000330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 38908746009 + 3322254321 = 197253^2 + 57639^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40156 + ... + 293384.

Almost surely, 242231000330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42231000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58663261800).

42231000330 is an abundant number, since it is smaller than the sum of its proper divisors (75095523270).

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

42231000330 is a wasteful number, since it uses less digits than its factorization.

42231000330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253368 (or 253365 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 42231000330 its reverse (3300013224), we get a palindrome (45531013554).

The spelling of 42231000330 in words is "forty-two billion, two hundred thirty-one million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 109 153 170 218 255 306 327 510 545 654 765 981 1090 1530 1635 1853 1962 3270 3706 4905 5559 9265 9810 11118 16677 18530 27795 33354 55590 83385 166770 253229 506458 759687 1266145 1519374 2279061 2532290 3798435 4304893 4558122 7596870 8609786 11395305 12914679 21524465 22790610 25829358 27601961 38744037 43048930 55203922 64573395 77488074 82805883 129146790 138009805 165611766 193720185 248417649 276019610 387440370 414029415 469233337 496835298 828058830 938466674 1242088245 1407700011 2346166685 2484176490 2815400022 4223100033 4692333370 7038500055 8446200066 14077000110 21115500165 42231000330