Search a number
-
+
81002041400125 = 532861226499941
BaseRepresentation
bin10010011010101111000001…
…111001110101101100111101
3101121210201102112112022122001
4102122233001321311230331
541104114140044301000
6444135454001222301
723030130045360256
oct2232570171655475
9347721375468561
1081002041400125
112389a85571917a
1291028a3931991
1336275c903c011
14160073c191b2d
159570b04de46a
hex49abc1e75b3d

81002041400125 has 16 divisors (see below), whose sum is σ = 101125882104624. Its totient is φ = 64778982840000.

The previous prime is 81002041400123. The next prime is 81002041400141. The reversal of 81002041400125 is 52100414020018.

It can be written as a sum of positive squares in 8 ways, for example, as 50117946836409 + 30884094563716 = 7079403^2 + 5557346^2 .

It is not a de Polignac number, because 81002041400125 - 21 = 81002041400123 is a prime.

It is a super-2 number, since 2×810020414001252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81002041400093 and 81002041400102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81002041400123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112892346 + ... + 113607595.

It is an arithmetic number, because the mean of its divisors is an integer number (6320367631539).

Almost surely, 281002041400125 is an apocalyptic number.

It is an amenable number.

81002041400125 is a deficient number, since it is larger than the sum of its proper divisors (20123840704499).

81002041400125 is a wasteful number, since it uses less digits than its factorization.

81002041400125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226502817 (or 226502807 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The spelling of 81002041400125 in words is "eighty-one trillion, two billion, forty-one million, four hundred thousand, one hundred twenty-five".

Divisors: 1 5 25 125 2861 14305 71525 357625 226499941 1132499705 5662498525 28312492625 648016331201 3240081656005 16200408280025 81002041400125