Search a number
-
+
10343121144 = 2332381181001
BaseRepresentation
bin10011010000111111…
…11000000011111000
3222200211101222211220
421220133320003320
5132140314334034
64430200552040
7514212036066
oct115037700370
928624358756
1010343121144
114428471004
122007a82620
13c8ab05635
1470195d036
15408088749
hex2687f80f8

10343121144 has 32 divisors (see below), whose sum is σ = 25868805840. Its totient is φ = 3446240000.

The previous prime is 10343121097. The next prime is 10343121149. The reversal of 10343121144 is 44112134301.

10343121144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343121149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33357 + ... + 147644.

Almost surely, 210343121144 is an apocalyptic number.

It is an amenable number.

10343121144 is an abundant number, since it is smaller than the sum of its proper divisors (15525684696).

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

10343121144 is a wasteful number, since it uses less digits than its factorization.

10343121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183391 (or 183387 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10343121144 its reverse (44112134301), we get a palindrome (54455255445).

The spelling of 10343121144 in words is "ten billion, three hundred forty-three million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 2381 4762 7143 9524 14286 19048 28572 57144 181001 362002 543003 724004 1086006 1448008 2172012 4344024 430963381 861926762 1292890143 1723853524 2585780286 3447707048 5171560572 10343121144