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1241410100 = 225272253349
BaseRepresentation
bin100100111111110…
…0110101000110100
310012111221011111212
41021333212220310
510020300110400
6323103420552
742522545300
oct11177465064
93174834455
101241410100
1158781a867
122a78b4758
1316a262ab8
14bac2cd00
1573eba335
hex49fe6a34

1241410100 has 54 divisors (see below), whose sum is σ = 3133686150. Its totient is φ = 425624640.

The previous prime is 1241410099. The next prime is 1241410111. The reversal of 1241410100 is 10141421.

It can be written as a sum of positive squares in 3 ways, for example, as 146991376 + 1094418724 = 12124^2 + 33082^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 121775 + ... + 131574.

It is an arithmetic number, because the mean of its divisors is an integer number (58031225).

Almost surely, 21241410100 is an apocalyptic number.

1241410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241410100 is an abundant number, since it is smaller than the sum of its proper divisors (1892276050).

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

1241410100 is a wasteful number, since it uses less digits than its factorization.

1241410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253377 (or 253363 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1241410100 is about 35233.6501089512. The cubic root of 1241410100 is about 1074.7441540054.

Adding to 1241410100 its reverse (10141421), we get a palindrome (1251551521).

The spelling of 1241410100 in words is "one billion, two hundred forty-one million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 253349 506698 1013396 1266745 1773443 2533490 3546886 5066980 6333725 7093772 8867215 12414101 12667450 17734430 24828202 25334900 35468860 44336075 49656404 62070505 88672150 124141010 177344300 248282020 310352525 620705050 1241410100