Search a number
-
+
105535250112 = 2631928929619
BaseRepresentation
bin110001001001001100…
…1000001111011000000
3101002101221012011221010
41202102121001323000
53212114011000422
6120252054400520
710424155552635
oct1422231017300
9332357164833
10105535250112
1140836996476
1218553660140
139c4b515c76
14517225218c
152b2a16db0c
hex1892641ec0

105535250112 has 56 divisors (see below), whose sum is σ = 293924939200. Its totient is φ = 33326919936.

The previous prime is 105535250111. The next prime is 105535250201. The reversal of 105535250112 is 211052535501.

It is a super-2 number, since 2×1055352501122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105535250112.

It is not an unprimeable number, because it can be changed into a prime (105535250111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14461162 + ... + 14468457.

Almost surely, 2105535250112 is an apocalyptic number.

105535250112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105535250112 is an abundant number, since it is smaller than the sum of its proper divisors (188389689088).

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

105535250112 is a wasteful number, since it uses less digits than its factorization.

105535250112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28929653 (or 28929643 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

Adding to 105535250112 its reverse (211052535501), we get a palindrome (316587785613).

The spelling of 105535250112 in words is "one hundred five billion, five hundred thirty-five million, two hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 28929619 57859238 86788857 115718476 173577714 231436952 347155428 462873904 549662761 694310856 925747808 1099325522 1388621712 1648988283 1851495616 2198651044 2777243424 3297976566 4397302088 5554486848 6595953132 8794604176 13191906264 17589208352 26383812528 35178416704 52767625056 105535250112