Search a number
-
+
10401326430 = 23511101312071
BaseRepresentation
bin10011010111111011…
…11010010101011110
3222211212221010111020
421223331322111132
5132300214421210
64440040305010
7515516546565
oct115375722536
928755833436
1010401326430
114458306550
122023472166
13c99ba4731
14709590bdc
1540d234770
hex26bf7a55e

10401326430 has 64 divisors (see below), whose sum is σ = 27502281216. Its totient is φ = 2496560000.

The previous prime is 10401326413. The next prime is 10401326437. The reversal of 10401326430 is 3462310401.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10401326430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401326437) 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, 122706 + ... + 189365.

It is an arithmetic number, because the mean of its divisors is an integer number (429723144).

Almost surely, 210401326430 is an apocalyptic number.

10401326430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10401326430 is an abundant number, since it is smaller than the sum of its proper divisors (17100954786).

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

10401326430 is a wasteful number, since it uses less digits than its factorization.

10401326430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312193.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10401326430 its reverse (3462310401), we get a palindrome (13863636831).

The spelling of 10401326430 in words is "ten billion, four hundred one million, three hundred twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 11110 16665 33330 312071 624142 936213 1560355 1872426 3120710 3432781 4681065 6865562 9362130 10298343 17163905 20596686 31519171 34327810 51491715 63038342 94557513 102983430 157595855 189115026 315191710 346710881 472787565 693421762 945575130 1040132643 1733554405 2080265286 3467108810 5200663215 10401326430