Search a number
-
+
10211321124 = 2232377666157
BaseRepresentation
bin10011000001010010…
…00110010100100100
3222100122101212012200
421200221012110210
5131403044233444
64405132014500
7511021540344
oct114051062444
928318355180
1010211321124
11437002a774
121b8b901430
13c69709764
146cc250d24
153eb701969
hex260a46524

10211321124 has 36 divisors (see below), whose sum is σ = 26509574364. Its totient is φ = 3311779392.

The previous prime is 10211321123. The next prime is 10211321137. The reversal of 10211321124 is 42112311201.

10211321124 is a `hidden beast` number, since 10 + 211 + 321 + 124 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6753881124 + 3457440000 = 82182^2 + 58800^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10211321097 and 10211321106.

It is not an unprimeable number, because it can be changed into a prime (10211321123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3831747 + ... + 3834410.

Almost surely, 210211321124 is an apocalyptic number.

It is an amenable number.

10211321124 is an abundant number, since it is smaller than the sum of its proper divisors (16298253240).

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

10211321124 is a wasteful number, since it uses less digits than its factorization.

10211321124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7666204 (or 7666199 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10211321124 its reverse (42112311201), we get a palindrome (52323632325).

The spelling of 10211321124 in words is "ten billion, two hundred eleven million, three hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 7666157 15332314 22998471 30664628 45996942 68995413 91993884 137990826 275981652 283647809 567295618 850943427 1134591236 1701886854 2552830281 3403773708 5105660562 10211321124