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3321230130 = 2325234337313
BaseRepresentation
bin1100010111110101…
…1111001100110010
322120110110222020100
43011331133030302
523300213331010
61305321253230
7145205663451
oct30575371462
98513428210
103321230130
111454825399
12788334216
1340c10663a
14237144b98
151468982c0
hexc5f5f332

3321230130 has 96 divisors (see below), whose sum is σ = 9220438656. Its totient is φ = 827430912.

The previous prime is 3321230123. The next prime is 3321230131. The reversal of 3321230130 is 310321233.

3321230130 is a `hidden beast` number, since 332 + 1 + 2 + 301 + 30 = 666.

It is a super-2 number, since 2×33212301302 = 22061139152839633800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3321230131) by changing a digit.

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, 70354 + ... + 107666.

It is an arithmetic number, because the mean of its divisors is an integer number (96046236).

Almost surely, 23321230130 is an apocalyptic number.

3321230130 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 3321230130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610219328).

3321230130 is an abundant number, since it is smaller than the sum of its proper divisors (5899208526).

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

3321230130 is a wasteful number, since it uses less digits than its factorization.

3321230130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37392 (or 37389 counting only the distinct ones).

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

The square root of 3321230130 is about 57630.1147838524. The cubic root of 3321230130 is about 1491.9914110990.

Adding to 3321230130 its reverse (310321233), we get a palindrome (3631551363).

The spelling of 3321230130 in words is "three billion, three hundred twenty-one million, two hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 43 45 46 69 86 90 115 129 138 207 215 230 258 345 387 414 430 645 690 774 989 1035 1290 1935 1978 2070 2967 3870 4945 5934 8901 9890 14835 17802 29670 37313 44505 74626 89010 111939 186565 223878 335817 373130 559695 671634 858199 1119390 1604459 1679085 1716398 2574597 3208918 3358170 4290995 4813377 5149194 7723791 8022295 8581990 9626754 12872985 14440131 15447582 16044590 24066885 25745970 28880262 36902557 38618955 48133770 72200655 73805114 77237910 110707671 144401310 184512785 221415342 332123013 369025570 553538355 664246026 1107076710 1660615065 3321230130