Search a number
-
+
100145572 = 221711313033
BaseRepresentation
bin1011111100000…
…01100110100100
320222102220220021
411332001212210
5201114124242
613534244524
72324136412
oct576014644
9228386807
10100145572
115159093a
1229656744
1317994b47
14d42c2b2
158bd2b67
hex5f819a4

100145572 has 24 divisors (see below), whose sum is σ = 187220376. Its totient is φ = 46706688.

The previous prime is 100145533. The next prime is 100145621. The reversal of 100145572 is 275541001.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 92659876 = 2736^2 + 9626^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1168 + ... + 14200.

It is an arithmetic number, because the mean of its divisors is an integer number (7800849).

Almost surely, 2100145572 is an apocalyptic number.

It is an amenable number.

100145572 is a deficient number, since it is larger than the sum of its proper divisors (87074804).

100145572 is a wasteful number, since it uses less digits than its factorization.

100145572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13167 (or 13165 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 100145572 is about 10007.2759530254. The cubic root of 100145572 is about 464.3840026163.

Adding to 100145572 its reverse (275541001), we get a palindrome (375686573).

The spelling of 100145572 in words is "one hundred million, one hundred forty-five thousand, five hundred seventy-two".

Divisors: 1 2 4 17 34 68 113 226 452 1921 3842 7684 13033 26066 52132 221561 443122 886244 1472729 2945458 5890916 25036393 50072786 100145572