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153112641 = 31115130727
BaseRepresentation
bin10010010000001…
…01000001000001
3101200002221001120
421020011001001
5303144101031
623105422453
73536302353
oct1110050101
9350087046
10153112641
1179478880
124333aa29
132594b8c6
14164990d3
15d696a96
hex9205041

153112641 has 16 divisors (see below), whose sum is σ = 224191488. Its totient is φ = 92178000.

The previous prime is 153112579. The next prime is 153112643. The reversal of 153112641 is 146211351.

It is a happy number.

It is not a de Polignac number, because 153112641 - 26 = 153112577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153112643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10381 + ... + 20346.

It is an arithmetic number, because the mean of its divisors is an integer number (14011968).

Almost surely, 2153112641 is an apocalyptic number.

153112641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

153112641 is a deficient number, since it is larger than the sum of its proper divisors (71078847).

153112641 is a wasteful number, since it uses less digits than its factorization.

153112641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30892.

The product of its digits is 720, while the sum is 24.

The square root of 153112641 is about 12373.8692816758. The cubic root of 153112641 is about 534.9793464528.

Adding to 153112641 its reverse (146211351), we get a palindrome (299323992).

The spelling of 153112641 in words is "one hundred fifty-three million, one hundred twelve thousand, six hundred forty-one".

Divisors: 1 3 11 33 151 453 1661 4983 30727 92181 337997 1013991 4639777 13919331 51037547 153112641