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1157121141 = 311291209113
BaseRepresentation
bin100010011111000…
…0100010001110101
32222122022211210120
41010332010101311
54332210334031
6310453042153
740450240011
oct10476042165
92878284716
101157121141
1154418a270
12283626359
13155960487
14ad96b541
156b8baa96
hex44f84475

1157121141 has 16 divisors (see below), whose sum is σ = 1741124160. Its totient is φ = 677102720.

The previous prime is 1157121127. The next prime is 1157121143. The reversal of 1157121141 is 1411217511.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1157121141 - 210 = 1157120117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157121143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603600 + ... + 605513.

It is an arithmetic number, because the mean of its divisors is an integer number (108820260).

Almost surely, 21157121141 is an apocalyptic number.

1157121141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1157121141 is a deficient number, since it is larger than the sum of its proper divisors (584003019).

1157121141 is a wasteful number, since it uses less digits than its factorization.

1157121141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209156.

The product of its digits is 280, while the sum is 24.

The square root of 1157121141 is about 34016.4833720360. The cubic root of 1157121141 is about 1049.8476395708.

Adding to 1157121141 its reverse (1411217511), we get a palindrome (2568338652).

The spelling of 1157121141 in words is "one billion, one hundred fifty-seven million, one hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 11 29 33 87 319 957 1209113 3627339 13300243 35064277 39900729 105192831 385707047 1157121141