Search a number
-
+
100041301343 = 3159138139607
BaseRepresentation
bin101110100101011101…
…1010001110101011111
3100120020001100200001002
41131022323101311133
53114341033120333
6113543000140515
710141055013404
oct1351273216537
9316201320032
10100041301343
1139477785445
121747b76773b
1395842406c9
144bb07322ab
152907b970e8
hex174aed1d5f

100041301343 has 16 divisors (see below), whose sum is σ = 105097451520. Its totient is φ = 95101927200.

The previous prime is 100041301333. The next prime is 100041301387. The reversal of 100041301343 is 343103140001.

It is a cyclic number.

It is not a de Polignac number, because 100041301343 - 216 = 100041235807 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100041301333) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2506046 + ... + 2545652.

It is an arithmetic number, because the mean of its divisors is an integer number (6568590720).

Almost surely, 2100041301343 is an apocalyptic number.

100041301343 is a deficient number, since it is larger than the sum of its proper divisors (5056150177).

100041301343 is a wasteful number, since it uses less digits than its factorization.

100041301343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41078.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100041301343 its reverse (343103140001), we get a palindrome (443144441344).

The spelling of 100041301343 in words is "one hundred billion, forty-one million, three hundred one thousand, three hundred forty-three".

Divisors: 1 31 59 1381 1829 39607 42811 81479 1227817 2336813 2525849 54697267 72441203 1695615277 3227138753 100041301343