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10330403220 = 22325591019631
BaseRepresentation
bin10011001111011110…
…10111000110010100
3222122221110212010200
421213233113012110
5132124040400340
64425024220500
7513665656434
oct114757270624
928587425120
1010330403220
114421274925
12200376a730
13c882a1937
146dddac2c4
15406dc5330
hex267bd7194

10330403220 has 144 divisors (see below), whose sum is σ = 32185520640. Its totient is φ = 2680992000.

The previous prime is 10330403207. The next prime is 10330403233. The reversal of 10330403220 is 2230403301.

10330403220 is a `hidden beast` number, since 10 + 3 + 30 + 403 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (10330403207) and next prime (10330403233).

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

It is a junction number, because it is equal to n+sod(n) for n = 10330403193 and 10330403202.

It is a congruent number.

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, 1067805 + ... + 1077435.

It is an arithmetic number, because the mean of its divisors is an integer number (223510560).

Almost surely, 210330403220 is an apocalyptic number.

10330403220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10330403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16092760320).

10330403220 is an abundant number, since it is smaller than the sum of its proper divisors (21855117420).

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

10330403220 is a wasteful number, since it uses less digits than its factorization.

10330403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9806 (or 9801 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10330403220 its reverse (2230403301), we get a palindrome (12560806521).

The spelling of 10330403220 in words is "ten billion, three hundred thirty million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 101 118 177 180 202 236 295 303 354 404 505 531 590 606 708 885 909 1010 1062 1180 1212 1515 1770 1818 2020 2124 2655 3030 3540 3636 4545 5310 5959 6060 9090 9631 10620 11918 17877 18180 19262 23836 28893 29795 35754 38524 48155 53631 57786 59590 71508 86679 89385 96310 107262 115572 119180 144465 173358 178770 192620 214524 268155 288930 346716 357540 433395 536310 568229 577860 866790 972731 1072620 1136458 1704687 1733580 1945462 2272916 2841145 2918193 3409374 3890924 4863655 5114061 5682290 5836386 6818748 8523435 8754579 9727310 10228122 11364580 11672772 14590965 17046870 17509158 19454620 20456244 25570305 29181930 34093740 35018316 43772895 51140610 57391129 58363860 87545790 102281220 114782258 172173387 175091580 229564516 286955645 344346774 516520161 573911290 688693548 860866935 1033040322 1147822580 1721733870 2066080644 2582600805 3443467740 5165201610 10330403220