Search a number
-
+
10121211430 = 25114319311087
BaseRepresentation
bin10010110110100010…
…10110111000100110
3222010100211210221121
421123101112320212
5131212012231210
64352152404154
7505545610021
oct113321267046
928110753847
1010121211430
114324183a50
121b656a665a
13c53b49905
146c02b61b8
153e38526da
hex25b456e26

10121211430 has 64 divisors (see below), whose sum is σ = 20443788288. Its totient is φ = 3575900160.

The previous prime is 10121211413. The next prime is 10121211437. The reversal of 10121211430 is 3411212101.

10121211430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121211437) 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 31 ways as a sum of consecutive naturals, for example, 907347 + ... + 918433.

It is an arithmetic number, because the mean of its divisors is an integer number (319434192).

Almost surely, 210121211430 is an apocalyptic number.

10121211430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121211430 is an abundant number, since it is smaller than the sum of its proper divisors (10322576858).

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

10121211430 is a wasteful number, since it uses less digits than its factorization.

10121211430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11341.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10121211430 its reverse (3411212101), we get a palindrome (13532423531).

The spelling of 10121211430 in words is "ten billion, one hundred twenty-one million, two hundred eleven thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 43 55 86 110 193 215 386 430 473 946 965 1930 2123 2365 4246 4730 8299 10615 11087 16598 21230 22174 41495 55435 82990 91289 110870 121957 182578 243914 456445 476741 609785 912890 953482 1219570 2139791 2383705 4279582 4767410 5244151 10488302 10698955 21397910 23537701 26220755 47075402 52441510 92011013 117688505 184022026 235377010 460055065 920110130 1012121143 2024242286 5060605715 10121211430