Search a number
-
+
10241122224 = 2431975771877
BaseRepresentation
bin10011000100110101…
…10001111110110000
3222102201110220122010
421202122301332300
5131433211402344
64412114442520
7511533050124
oct114232617660
928381426563
1010241122224
114385934783
121b99893440
13c72942048
146d21ab584
153ee13b8b9
hex2626b1fb0

10241122224 has 80 divisors (see below), whose sum is σ = 26650803168. Its totient is φ = 3388686336.

The previous prime is 10241122183. The next prime is 10241122271. The reversal of 10241122224 is 42222114201.

10241122224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10241122224.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5455174 + ... + 5457050.

Almost surely, 210241122224 is an apocalyptic number.

It is an amenable number.

10241122224 is an abundant number, since it is smaller than the sum of its proper divisors (16409680944).

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

10241122224 is a wasteful number, since it uses less digits than its factorization.

10241122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10241122224 its reverse (42222114201), we get a palindrome (52463236425).

The spelling of 10241122224 in words is "ten billion, two hundred forty-one million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 197 394 577 591 788 1154 1182 1576 1731 1877 2308 2364 3152 3462 3754 4616 4728 5631 6924 7508 9232 9456 11262 13848 15016 22524 27696 30032 45048 90096 113669 227338 341007 369769 454676 682014 739538 909352 1083029 1109307 1364028 1479076 1818704 2166058 2218614 2728056 2958152 3249087 4332116 4437228 5456112 5916304 6498174 8664232 8874456 12996348 17328464 17748912 25992696 51985392 213356713 426713426 640070139 853426852 1280140278 1706853704 2560280556 3413707408 5120561112 10241122224