Search a number
-
+
1121051520 = 273254147101
BaseRepresentation
bin100001011010001…
…1110001110000000
32220010110022120200
41002310132032000
54243442122040
6303124005200
736531531531
oct10264361600
92803408520
101121051520
11525893666
12273530800
1314b3418c4
14a8c5c688
1568643630
hex42d1e380

1121051520 has 384 divisors, whose sum is σ = 4090020480. Its totient is φ = 282624000.

The previous prime is 1121051443. The next prime is 1121051527. The reversal of 1121051520 is 251501211.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1121051493 and 1121051502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121051527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11099470 + ... + 11099570.

It is an arithmetic number, because the mean of its divisors is an integer number (10651095).

Almost surely, 21121051520 is an apocalyptic number.

1121051520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045010240).

1121051520 is an abundant number, since it is smaller than the sum of its proper divisors (2968968960).

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

1121051520 is a wasteful number, since it uses less digits than its factorization.

1121051520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1121051520 is about 33482.1074605527. The cubic root of 1121051520 is about 1038.8237193920.

Adding to 1121051520 its reverse (251501211), we get a palindrome (1372552731).

The spelling of 1121051520 in words is "one billion, one hundred twenty-one million, fifty-one thousand, five hundred twenty".