Search a number
-
+
10112135441343 = 3131396912699513
BaseRepresentation
bin1001001100100110101000…
…1111011010101110111111
31022210201012002211220000120
42103021222033122232333
52311134123133110333
633301241220430023
72062402100022255
oct223115217325677
938721162756016
1010112135441343
113249594919891
121173971848313
13584754ba1b90
1426d603b865d5
1512808e753db3
hex9326a3dabbf

10112135441343 has 32 divisors (see below), whose sum is σ = 14645619313920. Its totient is φ = 6169140783360.

The previous prime is 10112135441339. The next prime is 10112135441357. The reversal of 10112135441343 is 34314453121101.

It is a happy number.

It is not a de Polignac number, because 10112135441343 - 22 = 10112135441339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112135441363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2396155 + ... + 5095667.

It is an arithmetic number, because the mean of its divisors is an integer number (457675603560).

Almost surely, 210112135441343 is an apocalyptic number.

10112135441343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10112135441343 is a deficient number, since it is larger than the sum of its proper divisors (4533483872577).

10112135441343 is a wasteful number, since it uses less digits than its factorization.

10112135441343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700359.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 10112135441343 its reverse (34314453121101), we get a palindrome (44426588562444).

The spelling of 10112135441343 in words is "ten trillion, one hundred twelve billion, one hundred thirty-five million, four hundred forty-one thousand, three hundred forty-three".

Divisors: 1 3 13 39 139 417 691 1807 2073 5421 8983 26949 96049 288147 1248637 2699513 3745911 8098539 35093669 105281007 375232307 1125696921 1865363483 4878019991 5596090449 14634059973 24249725279 72749175837 259285524137 777856572411 3370711813781 10112135441343