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10352224116 = 2234132189061
BaseRepresentation
bin10011010010000101…
…00110011101110100
3222201110112110210000
421221002212131310
5132200132132431
64431124031300
7514352311263
oct115102463564
928643473700
1010352224116
114432619223
12200ab32530
13c8c971b00
14702c4c5da
15408c859e6
hex2690a6774

10352224116 has 90 divisors (see below), whose sum is σ = 29304799062. Its totient is φ = 3185282880.

The previous prime is 10352224093. The next prime is 10352224121. The reversal of 10352224116 is 61142225301.

10352224116 is a `hidden beast` number, since 1 + 0 + 3 + 522 + 24 + 116 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 271260900 + 10080963216 = 16470^2 + 100404^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10352224116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39775 + ... + 149286.

Almost surely, 210352224116 is an apocalyptic number.

It is an amenable number.

10352224116 is an abundant number, since it is smaller than the sum of its proper divisors (18952574946).

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

10352224116 is a wasteful number, since it uses less digits than its factorization.

10352224116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189103 (or 189079 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10352224116 its reverse (61142225301), we get a palindrome (71494449417).

The spelling of 10352224116 in words is "ten billion, three hundred fifty-two million, two hundred twenty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 3042 4212 4563 6084 9126 13689 18252 27378 54756 189061 378122 567183 756244 1134366 1701549 2268732 2457793 3403098 4915586 5104647 6806196 7373379 9831172 10209294 14746758 15313941 20418588 22120137 29493516 30627882 31951309 44240274 61255764 63902618 66360411 88480548 95853927 127805236 132720822 191707854 199081233 265441644 287561781 383415708 398162466 575123562 796324932 862685343 1150247124 1725370686 2588056029 3450741372 5176112058 10352224116