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331331130 = 232513503563
BaseRepresentation
bin10011101111111…
…011011000111010
3212002110100212100
4103233323120322
51134310044010
652513324230
711132160654
oct2357733072
9762410770
10331331130
11160033a89
1292b66676
135384a930
143200b6d4
151e14c2c0
hex13bfb63a

331331130 has 96 divisors (see below), whose sum is σ = 931222656. Its totient is φ = 81251712.

The previous prime is 331331129. The next prime is 331331149. The reversal of 331331130 is 31133133.

331331130 is a `hidden beast` number, since 331 + 331 + 1 + 3 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588229 + ... + 588791.

It is an arithmetic number, because the mean of its divisors is an integer number (9700236).

Almost surely, 2331331130 is an apocalyptic number.

331331130 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 331331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465611328).

331331130 is an abundant number, since it is smaller than the sum of its proper divisors (599891526).

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

331331130 is a wasteful number, since it uses less digits than its factorization.

331331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 331331130 is about 18202.5033992580. The cubic root of 331331130 is about 691.9702352239.

Adding to 331331130 its reverse (31133133), we get a palindrome (362464263).

It can be divided in two parts, 3313 and 31130, that added together give a palindrome (34443).

The spelling of 331331130 in words is "three hundred thirty-one million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 503 563 585 1006 1126 1170 1509 1689 2515 2815 3018 3378 4527 5030 5067 5630 6539 7319 7545 8445 9054 10134 13078 14638 15090 16890 19617 21957 22635 25335 32695 36595 39234 43914 45270 50670 58851 65390 65871 73190 98085 109785 117702 131742 196170 219570 283189 294255 329355 566378 588510 658710 849567 1415945 1699134 2548701 2831890 3681457 4247835 5097402 7362914 8495670 11044371 12743505 18407285 22088742 25487010 33133113 36814570 55221855 66266226 110443710 165665565 331331130