Search a number
-
+
10320143104 = 28438771069
BaseRepresentation
bin10011001110010000…
…01110001100000000
3222122020011120220101
421213020032030000
5132113424034404
64424020252144
7513512524525
oct114710161400
928566146811
1010320143104
1144164a7297
122000241054
13c8611b86b
146dc89b14c
1540604a2a4
hex26720e300

10320143104 has 72 divisors (see below), whose sum is σ = 21122818640. Its totient is φ = 5029613568.

The previous prime is 10320143081. The next prime is 10320143137. The reversal of 10320143104 is 40134102301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9653482 + ... + 9654550.

Almost surely, 210320143104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561409320).

10320143104 is an abundant number, since it is smaller than the sum of its proper divisors (10802675536).

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

10320143104 is an equidigital number, since it uses as much as digits as its factorization.

10320143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10320143104 its reverse (40134102301), we get a palindrome (50454245405).

The spelling of 10320143104 in words is "ten billion, three hundred twenty million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 877 1069 1376 1754 2138 2752 3508 4276 5504 7016 8552 11008 14032 17104 28064 34208 37711 45967 56128 68416 75422 91934 112256 136832 150844 183868 224512 273664 301688 367736 603376 735472 937513 1206752 1470944 1875026 2413504 2941888 3750052 4827008 5883776 7500104 9654016 11767552 15000208 30000416 40313059 60000832 80626118 120001664 161252236 240003328 322504472 645008944 1290017888 2580035776 5160071552 10320143104