Search a number
-
+
41023134100100 = 22521721419485609
BaseRepresentation
bin10010101001111011100010…
…10101011110101010000100
312101020202212202020111010202
421110331301111132222010
520334110334312200400
6223125433450510032
711432552335310525
oct1124756125365204
9171222782214122
1041023134100100
11120868a4801859
124726684735318
1319b7607645219
14a1b75d15a84c
154b218c4314d5
hex254f7155ea84

41023134100100 has 54 divisors (see below), whose sum is σ = 94564711852590. Its totient is φ = 15444003415040.

The previous prime is 41023134100097. The next prime is 41023134100129. The reversal of 41023134100100 is 100143132014.

41023134100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 490022400256 + 40533111699844 = 700016^2 + 6366562^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 709713905 + ... + 709771704.

Almost surely, 241023134100100 is an apocalyptic number.

It is an amenable number.

41023134100100 is an abundant number, since it is smaller than the sum of its proper divisors (53541577752490).

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

41023134100100 is a wasteful number, since it uses less digits than its factorization.

41023134100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419485657 (or 1419485633 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 41023134100100 its reverse (100143132014), we get a palindrome (41123277232114).

The spelling of 41023134100100 in words is "forty-one trillion, twenty-three billion, one hundred thirty-four million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 14450 28900 1419485609 2838971218 5677942436 7097428045 14194856090 24131255353 28389712180 35487140225 48262510706 70974280450 96525021412 120656276765 141948560900 241312553530 410231341001 482625107060 603281383825 820462682002 1206562767650 1640925364004 2051156705005 2413125535300 4102313410010 8204626820020 10255783525025 20511567050050 41023134100100