Search a number
-
+
100214021441 = 2312750368207
BaseRepresentation
bin101110101010100111…
…0001001110101000001
3100120200002100202110202
41131111032021311001
53120214242141231
6114012050134545
710145253061502
oct1352516116501
9316602322422
10100214021441
1139556225626
1217509581455
1395b0c65b51
144bc9652ba9
152917e135cb
hex1755389d41

100214021441 has 16 divisors (see below), whose sum is σ = 105605627904. Its totient is φ = 94911650064.

The previous prime is 100214021423. The next prime is 100214021447. The reversal of 100214021441 is 144120412001.

It is a cyclic number.

It is not a de Polignac number, because 100214021441 - 214 = 100214005057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100214021447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1435160 + ... + 1503366.

It is an arithmetic number, because the mean of its divisors is an integer number (6600351744).

Almost surely, 2100214021441 is an apocalyptic number.

It is an amenable number.

100214021441 is a deficient number, since it is larger than the sum of its proper divisors (5391606463).

100214021441 is a wasteful number, since it uses less digits than its factorization.

100214021441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68860.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100214021441 its reverse (144120412001), we get a palindrome (244334433442).

The spelling of 100214021441 in words is "one hundred billion, two hundred fourteen million, twenty-one thousand, four hundred forty-one".

Divisors: 1 23 127 503 2921 11569 63881 68207 1469263 1568761 8662289 34308121 199232647 789086783 4357131367 100214021441