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3212130330 = 234522917317
BaseRepresentation
bin1011111101110101…
…0011100000011010
322021212012010110000
42333131103200122
523034301132310
61250423033430
7142412441313
oct27735234032
98255163400
103212130330
1113a9189072
1275789b876
133c2627c46
1422686560a
1513bee74c0
hexbf75381a

3212130330 has 80 divisors (see below), whose sum is σ = 8675278920. Its totient is φ = 852778368.

The previous prime is 3212130287. The next prime is 3212130373. The reversal of 3212130330 is 330312123.

3212130330 is a `hidden beast` number, since 321 + 2 + 13 + 0 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (3212130287) and next prime (3212130373).

It can be written as a sum of positive squares in 4 ways, for example, as 3211828929 + 301401 = 56673^2 + 549^2 .

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 39 ways as a sum of consecutive naturals, for example, 176832 + ... + 194148.

Almost surely, 23212130330 is an apocalyptic number.

3212130330 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 3212130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337639460).

3212130330 is an abundant number, since it is smaller than the sum of its proper divisors (5463148590).

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

3212130330 is a wasteful number, since it uses less digits than its factorization.

3212130330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17565 (or 17556 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3212130330 is about 56675.6590610114. The cubic root of 3212130330 is about 1475.4722731681.

Adding to 3212130330 its reverse (330312123), we get a palindrome (3542442453).

The spelling of 3212130330 in words is "three billion, two hundred twelve million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 229 270 405 458 687 810 1145 1374 2061 2290 3435 4122 6183 6870 10305 12366 17317 18549 20610 30915 34634 37098 51951 61830 86585 92745 103902 155853 173170 185490 259755 311706 467559 519510 779265 935118 1402677 1558530 2337795 2805354 3965593 4675590 7013385 7931186 11896779 14026770 19827965 23793558 35690337 39655930 59483895 71380674 107071011 118967790 178451685 214142022 321213033 356903370 535355055 642426066 1070710110 1606065165 3212130330