Search a number
-
+
1121881215 = 357213117413
BaseRepresentation
bin100001011011110…
…1000110001111111
32220012000110201010
41002313220301333
54244200144330
6303153450303
736541555500
oct10267506177
92805013633
101121881215
115262aaa64
12273870993
1314b572450
14a8dd6ba7
15687593b0
hex42de8c7f

1121881215 has 48 divisors (see below), whose sum is σ = 2248712928. Its totient is φ = 473405184.

The previous prime is 1121881213. The next prime is 1121881217. The reversal of 1121881215 is 5121881211.

It is an interprime number because it is at equal distance from previous prime (1121881213) and next prime (1121881217).

It is not a de Polignac number, because 1121881215 - 21 = 1121881213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121881213) 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, 49152 + ... + 68261.

It is an arithmetic number, because the mean of its divisors is an integer number (46848186).

Almost surely, 21121881215 is an apocalyptic number.

1121881215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1121881215 is an abundant number, since it is smaller than the sum of its proper divisors (1126831713).

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

1121881215 is a wasteful number, since it uses less digits than its factorization.

1121881215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117448 (or 117441 counting only the distinct ones).

The product of its digits is 1280, while the sum is 30.

The square root of 1121881215 is about 33494.4952940032. The cubic root of 1121881215 is about 1039.0799354784.

The spelling of 1121881215 in words is "one billion, one hundred twenty-one million, eight hundred eighty-one thousand, two hundred fifteen".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9555 117413 352239 587065 821891 1526369 1761195 2465673 4109455 4579107 5753237 7631845 10684583 12328365 17259711 22895535 28766185 32053749 53422915 74792081 86298555 160268745 224376243 373960405 1121881215