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100116250 = 2541361101
BaseRepresentation
bin1011111011110…
…10011100011010
320222101102200021
411331322130122
5201112210000
613533501054
72323655053
oct575723432
9228342607
10100116250
1151570903
122964178a
13179846b0
14d42172a
158bc911a
hex5f7a71a

100116250 has 80 divisors (see below), whose sum is σ = 207439848. Its totient is φ = 36000000.

The previous prime is 100116239. The next prime is 100116253. The reversal of 100116250 is 52611001.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 59552089 + 40564161 = 7717^2 + 6369^2 .

It is not an unprimeable number, because it can be changed into a prime (100116253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 991200 + ... + 991300.

Almost surely, 2100116250 is an apocalyptic number.

100116250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100116250 is an abundant number, since it is smaller than the sum of its proper divisors (107323598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100116250 is a wasteful number, since it uses less digits than its factorization.

100116250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 100116250 is about 10005.8108117234. The cubic root of 100116250 is about 464.3386752772.

Adding to 100116250 its reverse (52611001), we get a palindrome (152727251).

It can be divided in two parts, 10011 and 6250, that added together give a palindrome (16261).

The spelling of 100116250 in words is "one hundred million, one hundred sixteen thousand, two hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 61 65 101 122 125 130 202 250 305 325 505 610 625 650 793 1010 1250 1313 1525 1586 1625 2525 2626 3050 3250 3965 5050 6161 6565 7625 7930 8125 12322 12625 13130 15250 16250 19825 25250 30805 32825 38125 39650 61610 63125 65650 76250 80093 99125 126250 154025 160186 164125 198250 308050 328250 400465 495625 770125 800930 820625 991250 1540250 1641250 2002325 3850625 4004650 7701250 10011625 20023250 50058125 100116250