Search a number
-
+
100412203141 = 3731217221201
BaseRepresentation
bin101110110000100001…
…0001010000010000101
3100121011220021102122201
41131201002022002011
53121121011000031
6114043445554501
710153210433635
oct1354102120205
9317156242581
10100412203141
1139648086458
1217563a15a31
139613034623
144c07ac06c5
15292a50dd61
hex176108a085

100412203141 has 8 divisors (see below), whose sum is σ = 100764589464. Its totient is φ = 100060262400.

The previous prime is 100412203123. The next prime is 100412203159. The reversal of 100412203141 is 141302214001.

It is an interprime number because it is at equal distance from previous prime (100412203123) and next prime (100412203159).

It can be written as a sum of positive squares in 4 ways, for example, as 16784238916 + 83627964225 = 129554^2 + 289185^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100412203141 - 25 = 100412203109 is a prime.

It is a super-2 number, since 2×1004122031412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100412203741) 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 7 ways as a sum of consecutive naturals, for example, 343341 + ... + 564541.

It is an arithmetic number, because the mean of its divisors is an integer number (12595573683).

Almost surely, 2100412203141 is an apocalyptic number.

It is an amenable number.

100412203141 is a deficient number, since it is larger than the sum of its proper divisors (352386323).

100412203141 is a wasteful number, since it uses less digits than its factorization.

100412203141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222791.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100412203141 its reverse (141302214001), we get a palindrome (241714417142).

The spelling of 100412203141 in words is "one hundred billion, four hundred twelve million, two hundred three thousand, one hundred forty-one".

Divisors: 1 373 1217 221201 453941 82507973 269201617 100412203141