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114215301541 = 11127442118493
BaseRepresentation
bin110101001011111000…
…0110011000110100101
3101220210212020111000101
41222113300303012211
53332403104122131
6124245250144101
711152235021215
oct1522760630645
9356725214011
10114215301541
11444906185a0
121a176582031
13aa02902583
145756d80245
152e871eac61
hex1a97c331a5

114215301541 has 16 divisors (see below), whose sum is σ = 125614798848. Its totient is φ = 102985646400.

The previous prime is 114215301509. The next prime is 114215301547. The reversal of 114215301541 is 145103512411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114215301541 - 25 = 114215301509 is a prime.

It is a super-2 number, since 2×1142153015412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114215301547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6166891 + ... + 6185383.

It is an arithmetic number, because the mean of its divisors is an integer number (7850924928).

Almost surely, 2114215301541 is an apocalyptic number.

114215301541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114215301541 is a deficient number, since it is larger than the sum of its proper divisors (11399497307).

114215301541 is a wasteful number, since it uses less digits than its factorization.

114215301541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23052.

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 114215301541 its reverse (145103512411), we get a palindrome (259318813952).

The spelling of 114215301541 in words is "one hundred fourteen billion, two hundred fifteen million, three hundred one thousand, five hundred forty-one".

Divisors: 1 11 127 1397 4421 18493 48631 203423 561467 2348611 6176137 25834721 81757553 899333083 10383209231 114215301541