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153000331 = 1119977547
BaseRepresentation
bin10010001111010…
…01100110001011
3101122220012222221
421013221212023
5303132002311
623103154511
73535324051
oct1107514613
9348805887
10153000331
1179401460
12432a5a37
132590c753
141646a1d1
15d673671
hex91e998b

153000331 has 16 divisors (see below), whose sum is σ = 177528960. Its totient is φ = 130394880.

The previous prime is 153000319. The next prime is 153000349. The reversal of 153000331 is 133000351.

153000331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153000331 - 25 = 153000299 is a prime.

It is a super-2 number, since 2×1530003312 = 46818202572219122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153000311) 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, 16500 + ... + 24046.

It is an arithmetic number, because the mean of its divisors is an integer number (11095560).

Almost surely, 2153000331 is an apocalyptic number.

153000331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153000331 is a deficient number, since it is larger than the sum of its proper divisors (24528629).

153000331 is a wasteful number, since it uses less digits than its factorization.

153000331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674.

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 153000331 is about 12369.3302567277. The cubic root of 153000331 is about 534.8485098202.

Adding to 153000331 its reverse (133000351), we get a palindrome (286000682).

The spelling of 153000331 in words is "one hundred fifty-three million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 11 19 97 209 1067 1843 7547 20273 83017 143393 732059 1577323 8052649 13909121 153000331