Search a number
-
+
153035031 = 32361103353
BaseRepresentation
bin10010001111100…
…10000100010111
3101122221222121010
421013302010113
5303134110111
623104023303
73535530162
oct1107620427
9348858533
10153035031
1179425536
1243301b33
1325922496
1416478ad9
15d67daa6
hex91f2117

153035031 has 32 divisors (see below), whose sum is σ = 219128832. Its totient is φ = 94786560.

The previous prime is 153035017. The next prime is 153035039. The reversal of 153035031 is 130530351.

It is a happy number.

It is not a de Polignac number, because 153035031 - 215 = 153002263 is a prime.

It is a super-2 number, since 2×1530350312 = 46839441426341922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153034989 and 153035007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153035039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433351 + ... + 433703.

It is an arithmetic number, because the mean of its divisors is an integer number (6847776).

Almost surely, 2153035031 is an apocalyptic number.

153035031 is a deficient number, since it is larger than the sum of its proper divisors (66093801).

153035031 is a wasteful number, since it uses less digits than its factorization.

153035031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 153035031 is about 12370.7328400544. The cubic root of 153035031 is about 534.8889407576. Note that the first 3 decimals are identical.

Adding to 153035031 its reverse (130530351), we get a palindrome (283565382).

The spelling of 153035031 in words is "one hundred fifty-three million, thirty-five thousand, thirty-one".

Divisors: 1 3 23 61 69 103 183 309 353 1059 1403 2369 4209 6283 7107 8119 18849 21533 24357 36359 64599 109077 144509 433527 495259 836257 1485777 2217899 2508771 6653697 51011677 153035031