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10111343058 = 2322922138753
BaseRepresentation
bin10010110101010111…
…01101100111010010
3222002200021110002100
421122223231213102
5131202000434213
64351201101230
7505365666165
oct113253554722
928080243070
1010111343058
114319653773
121b62327816
13c51aa2c3b
146bcc67adc
153e2a53773
hex25aaed9d2

10111343058 has 48 divisors (see below), whose sum is σ = 22676186520. Its totient is φ = 3252383232.

The previous prime is 10111343057. The next prime is 10111343083. The reversal of 10111343058 is 85034311101.

It can be written as a sum of positive squares in 4 ways, for example, as 9788529969 + 322813089 = 98937^2 + 17967^2 .

It is a super-3 number, since 3×101113430583 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10111343057) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1150810 + ... + 1159562.

Almost surely, 210111343058 is an apocalyptic number.

10111343058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10111343058 is an abundant number, since it is smaller than the sum of its proper divisors (12564843462).

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

10111343058 is a wasteful number, since it uses less digits than its factorization.

10111343058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11003 (or 11000 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10111343058 its reverse (85034311101), we get a palindrome (95145654159).

The spelling of 10111343058 in words is "ten billion, one hundred eleven million, three hundred forty-three thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 2213 4426 6639 8753 13278 17506 19917 26259 39834 52518 64177 78777 128354 157554 192531 253837 385062 507674 577593 761511 1155186 1523022 2284533 4569066 19370389 38740778 58111167 116222334 174333501 348667002 561741281 1123482562 1685223843 3370447686 5055671529 10111343058