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4104241221330 = 2325536451133379
BaseRepresentation
bin111011101110010111110…
…101110000111011010010
3112112100202121221102002100
4323232113311300323102
51014220441223040310
612421243513101230
7602343631525305
oct73562765607322
915470677842070
104104241221330
111342665199068
1256351a0b7816
1323a04a1b75a3
14102909786b3c
1571b62717ec0
hex3bb97d70ed2

4104241221330 has 96 divisors (see below), whose sum is σ = 10874134215360. Its totient is φ = 1073639548800.

The previous prime is 4104241221323. The next prime is 4104241221337. The reversal of 4104241221330 is 331221424014.

4104241221330 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 2 + 412 + 213 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (4104241221323) and next prime (4104241221337).

It is a junction number, because it is equal to n+sod(n) for n = 4104241221294 and 4104241221303.

It is not an unprimeable number, because it can be changed into a prime (4104241221337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30704581 + ... + 30837959.

It is an arithmetic number, because the mean of its divisors is an integer number (113272231410).

Almost surely, 24104241221330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104241221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437067107680).

4104241221330 is an abundant number, since it is smaller than the sum of its proper divisors (6769892994030).

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

4104241221330 is a wasteful number, since it uses less digits than its factorization.

4104241221330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139896 (or 139893 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4104241221330 its reverse (331221424014), we get a palindrome (4435462645344).

The spelling of 4104241221330 in words is "four trillion, one hundred four billion, two hundred forty-one million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 6451 12902 19353 32255 38706 58059 64510 96765 116118 133379 193530 266758 290295 341903 400137 580590 666895 683806 800274 1025709 1200411 1333790 1709515 2000685 2051418 2400822 3077127 3419030 4001370 5128545 6002055 6154254 7069087 10257090 12004110 14138174 15385635 21207261 30771270 35345435 42414522 63621783 70690870 106036305 127243566 212072610 318108915 636217830 860427929 1720855858 2581283787 4302139645 5162567574 7743851361 8604279290 12906418935 15487702722 25812837870 38719256805 45602680237 77438513610 91205360474 136808040711 228013401185 273616081422 410424122133 456026802370 684040203555 820848244266 1368080407110 2052120610665 4104241221330