Search a number
-
+
10330313220 = 2232573786173
BaseRepresentation
bin10011001111011110…
…00001001000000100
3222122221022021200100
421213233001020010
5132124030010340
64425022244100
7513665133153
oct114757011004
928587267610
1010330313220
114421213247
122003726630
13c8826c996
146ddd8759a
15406da8830
hex267bc1204

10330313220 has 72 divisors (see below), whose sum is σ = 31764574296. Its totient is φ = 2717010432.

The previous prime is 10330313183. The next prime is 10330313233. The reversal of 10330313220 is 2231303301.

10330313220 is a `hidden beast` number, since 1 + 0 + 330 + 313 + 2 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2134994436 + 8195318784 = 46206^2 + 90528^2 .

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 = 10330313193 and 10330313202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379947 + ... + 406226.

It is an arithmetic number, because the mean of its divisors is an integer number (441174643).

Almost surely, 210330313220 is an apocalyptic number.

10330313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330313220 is an abundant number, since it is smaller than the sum of its proper divisors (21434261076).

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

10330313220 is a wasteful number, since it uses less digits than its factorization.

10330313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786261 (or 786256 counting only the distinct ones).

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

Adding to 10330313220 its reverse (2231303301), we get a palindrome (12561616521).

The spelling of 10330313220 in words is "ten billion, three hundred thirty million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 786173 1572346 2358519 3144692 3930865 4717038 7075557 7861730 9434076 11792595 14151114 15723460 23585190 28302228 35377785 47170380 57390629 70755570 114781258 141511140 172171887 229562516 286953145 344343774 516515661 573906290 688687548 860859435 1033031322 1147812580 1721718870 2066062644 2582578305 3443437740 5165156610 10330313220