Search a number
-
+
10221746124 = 223929916913
BaseRepresentation
bin10011000010100001…
…10111011111001100
3222101101000111121210
421201100313133030
5131413231333444
64410143254420
7511206260052
oct114120673714
928341014553
1010221746124
114375a00177
121b932aa410
13c6b9198b5
146cd7a61d2
153ec5b07b9
hex2614377cc

10221746124 has 24 divisors (see below), whose sum is σ = 23876440560. Its totient is φ = 3403577344.

The previous prime is 10221746081. The next prime is 10221746131. The reversal of 10221746124 is 42164712201.

10221746124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10221746091 and 10221746100.

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 7 ways as a sum of consecutive naturals, for example, 447309 + ... + 469604.

It is an arithmetic number, because the mean of its divisors is an integer number (994851690).

Almost surely, 210221746124 is an apocalyptic number.

It is an amenable number.

10221746124 is an abundant number, since it is smaller than the sum of its proper divisors (13654694436).

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

10221746124 is a wasteful number, since it uses less digits than its factorization.

10221746124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917849 (or 917847 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 10221746124 in words is "ten billion, two hundred twenty-one million, seven hundred forty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 929 1858 2787 3716 5574 11148 916913 1833826 2750739 3667652 5501478 11002956 851812177 1703624354 2555436531 3407248708 5110873062 10221746124