Search a number
-
+
13997256100 = 2252118312
BaseRepresentation
bin11010000100100110…
…10010110110100100
31100010111022021122121
431002103102312210
5212131244143400
610232533435324
71003602466552
oct150223226644
940114267577
1013997256100
115a330a4753
12286779bb44
131420b8ac79
1496ada0bd2
1556dc9021a
hex3424d2da4

13997256100 has 27 divisors (see below), whose sum is σ = 30376613281. Its totient is φ = 5598429200.

The previous prime is 13997256089. The next prime is 13997256107. The reversal of 13997256100 is 165279931.

The square root of 13997256100 is 118310.

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., 5039012196 + 8958243904 = 70986^2 + 94648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13997256107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1177185 + ... + 1189015.

Almost surely, 213997256100 is an apocalyptic number.

13997256100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13997256100 is the 118310-th square number.

It is an amenable number.

13997256100 is an abundant number, since it is smaller than the sum of its proper divisors (16379357181).

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

13997256100 is an frugal number, since it uses more digits than its factorization.

13997256100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23676 (or 11838 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 13997256100 in words is "thirteen billion, nine hundred ninety-seven million, two hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11831 23662 47324 59155 118310 236620 295775 591550 1183100 139972561 279945122 559890244 699862805 1399725610 2799451220 3499314025 6998628050 13997256100