Search a number
-
+
101386201744 = 2423234612
BaseRepresentation
bin101111001101100010…
…1101010101010010000
3100200200210000200120001
41132123011222222100
53130114331423434
6114324242055344
710216305332002
oct1363305525220
9320623020501
10101386201744
1139aa795aa83
121779604a554
139739a69869
144c9b1c0372
152985ca6114
hex179b16aa90

101386201744 has 45 divisors (see below), whose sum is σ = 205407134569. Its totient is φ = 48475042880.

The previous prime is 101386201727. The next prime is 101386201789. The reversal of 101386201744 is 447102683101.

The square root of 101386201744 is 318412.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20047161744 + 81339040000 = 141588^2 + 285200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29292174 + ... + 29295634.

Almost surely, 2101386201744 is an apocalyptic number.

101386201744 is the 318412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101386201744

101386201744 is an abundant number, since it is smaller than the sum of its proper divisors (104020932825).

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

101386201744 is an frugal number, since it uses more digits than its factorization.

101386201744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

Adding to 101386201744 its reverse (447102683101), we get a palindrome (548488884845).

The spelling of 101386201744 in words is "one hundred one billion, three hundred eighty-six million, two hundred one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 3461 4232 6922 8464 13844 27688 55376 79603 159206 318412 636824 1273648 1830869 3661738 7323476 11978521 14646952 23957042 29293904 47914084 95828168 191656336 275505983 551011966 1102023932 2204047864 4408095728 6336637609 12673275218 25346550436 50693100872 101386201744