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3325412241030 = 2351146793723029
BaseRepresentation
bin110000011001000010000…
…000111110111010000110
3102202220110200210220101110
4300121002000332322012
5413440421013203110
611023401233105450
7462152546444625
oct60310200767206
912686420726343
103325412241030
111072332575870
124585a19b8286
131b177b401209
14b6d450516bc
155b77cda5a20
hex3064203ee86

3325412241030 has 128 divisors (see below), whose sum is σ = 8734868513280. Its totient is φ = 803540874240.

The previous prime is 3325412241023. The next prime is 3325412241037. The reversal of 3325412241030 is 301422145233.

It is an interprime number because it is at equal distance from previous prime (3325412241023) and next prime (3325412241037).

It is a super-2 number, since 2×33254122410302 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325412241037) 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 63 ways as a sum of consecutive naturals, for example, 144389556 + ... + 144412584.

It is an arithmetic number, because the mean of its divisors is an integer number (68241160260).

Almost surely, 23325412241030 is an apocalyptic number.

3325412241030 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 3325412241030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367434256640).

3325412241030 is an abundant number, since it is smaller than the sum of its proper divisors (5409456272250).

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

3325412241030 is a wasteful number, since it uses less digits than its factorization.

3325412241030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24454.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 3325412241030 its reverse (301422145233), we get a palindrome (3626834386263).

The spelling of 3325412241030 in words is "three trillion, three hundred twenty-five billion, four hundred twelve million, two hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 467 934 937 1401 1874 2335 2802 2811 4670 4685 5137 5622 7005 9370 10274 10307 14010 14055 15411 20614 23029 25685 28110 30822 30921 46058 51370 51535 61842 69087 77055 103070 115145 138174 154110 154605 230290 253319 309210 345435 437579 506638 690870 759957 875158 1266595 1312737 1519914 2187895 2533190 2625474 3799785 4375790 4813369 6563685 7599570 9626738 10754543 13127370 14440107 21509086 21578173 24066845 28880214 32263629 43156346 48133690 53772715 64527258 64734519 72200535 107545430 107890865 118299973 129469038 144401070 161318145 215781730 236599946 237359903 322636290 323672595 354899919 474719806 591499865 647345190 709799838 712079709 1182999730 1186799515 1424159418 1774499595 2373599030 3548999190 3560398545 7120797090 10077006791 20154013582 30231020373 50385033955 60462040746 100770067910 110847074701 151155101865 221694149402 302310203730 332541224103 554235373505 665082448206 1108470747010 1662706120515 3325412241030