Search a number
-
+
145252121 = 7237113709
BaseRepresentation
bin10001010100001…
…01111100011001
3101010022120110012
420222011330121
5244141031441
622225131305
73412423400
oct1052057431
9333276405
10145252121
1174a9a083
1240789b35
1324128b01
1415410637
15cb429eb
hex8a85f19

145252121 has 24 divisors (see below), whose sum is σ = 175316040. Its totient is φ = 119895552.

The previous prime is 145252117. The next prime is 145252123. The reversal of 145252121 is 121252541.

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 144120025 = 1064^2 + 12005^2 .

It is not a de Polignac number, because 145252121 - 22 = 145252117 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145252123) 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 23 ways as a sum of consecutive naturals, for example, 204515 + ... + 205223.

It is an arithmetic number, because the mean of its divisors is an integer number (7304835).

Almost surely, 2145252121 is an apocalyptic number.

It is an amenable number.

145252121 is a deficient number, since it is larger than the sum of its proper divisors (30063919).

145252121 is a wasteful number, since it uses less digits than its factorization.

145252121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 866 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 145252121 is about 12052.0587867800. The cubic root of 145252121 is about 525.6631028540.

The spelling of 145252121 in words is "one hundred forty-five million, two hundred fifty-two thousand, one hundred twenty-one".

Divisors: 1 7 37 49 113 259 709 791 1813 4181 4963 5537 26233 29267 34741 80117 183631 204869 560819 1285417 2964329 3925733 20750303 145252121