Search a number
-
+
2434020300201 = 37617656928597
BaseRepresentation
bin100011011010110110111…
…010100101010110101001
322121200122001121112102110
4203122312322211112221
5304334333144101301
65102101250152533
7340565202120540
oct43326672452651
98550561545373
102434020300201
11859298006266
12333890582749
131486b1146159
1485b42db7157
15434ab4350d6
hex236b6ea55a9

2434020300201 has 32 divisors (see below), whose sum is σ = 3715690095360. Its totient is φ = 1388354558976.

The previous prime is 2434020300197. The next prime is 2434020300233. The reversal of 2434020300201 is 1020030204342.

It is not a de Polignac number, because 2434020300201 - 22 = 2434020300197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2434020300301) 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 31 ways as a sum of consecutive naturals, for example, 85100235 + ... + 85128831.

It is an arithmetic number, because the mean of its divisors is an integer number (116115315480).

Almost surely, 22434020300201 is an apocalyptic number.

2434020300201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2434020300201 is a deficient number, since it is larger than the sum of its proper divisors (1281669795159).

2434020300201 is a wasteful number, since it uses less digits than its factorization.

2434020300201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35793.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2434020300201 its reverse (1020030204342), we get a palindrome (3454050504543).

The spelling of 2434020300201 in words is "two trillion, four hundred thirty-four billion, twenty million, three hundred thousand, two hundred one".

Divisors: 1 3 7 21 617 1851 4319 6569 12957 19707 28597 45983 85791 137949 200179 600537 4053073 12159219 17644349 28371511 52933047 85114533 123510443 187853693 370531329 563561079 1314975851 3944927553 115905728581 347717185743 811340100067 2434020300201