Search a number
-
+
153233031 = 3731415741
BaseRepresentation
bin10010010001000…
…10011010000111
3101200100001012110
421020202122013
5303211424111
623112152103
73540313350
oct1110423207
9350301173
10153233031
1179550276
1243398633
1325991643
14164cad27
15d6bc5a6
hex9222687

153233031 has 32 divisors (see below), whose sum is σ = 246951936. Its totient is φ = 82656000.

The previous prime is 153233027. The next prime is 153233033. The reversal of 153233031 is 130332351.

It is not a de Polignac number, because 153233031 - 22 = 153233027 is a prime.

It is a super-2 number, since 2×1532330312 = 46960723578893922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 153232989 and 153233007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153233033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23821 + ... + 29561.

It is an arithmetic number, because the mean of its divisors is an integer number (7717248).

Almost surely, 2153233031 is an apocalyptic number.

153233031 is a deficient number, since it is larger than the sum of its proper divisors (93718905).

153233031 is a wasteful number, since it uses less digits than its factorization.

153233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 153233031 is about 12378.7330127118. The cubic root of 153233031 is about 535.1195249296.

Adding to 153233031 its reverse (130332351), we get a palindrome (283565382).

The spelling of 153233031 in words is "one hundred fifty-three million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 3 7 21 31 41 93 123 217 287 651 861 1271 3813 5741 8897 17223 26691 40187 120561 177971 235381 533913 706143 1245797 1647667 3737391 4943001 7296811 21890433 51077677 153233031