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11320747201 = 103210332
BaseRepresentation
bin10101000101100010…
…01110010011000001
31002012221222112200101
422202301032103001
5141141102402301
65111202522401
7550352522611
oct124261162301
932187875611
1011320747201
11488a2a2a25
12223b366401
1310b550a9aa
14795724a41
15463cea701
hex2a2c4e4c1

11320747201 has 9 divisors (see below), whose sum is σ = 11442801699. Its totient is φ = 11199984336.

The previous prime is 11320747187. The next prime is 11320747237. The reversal of 11320747201 is 10274702311.

The square root of 11320747201 is 106399.

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., 10929657025 + 391090176 = 104545^2 + 19776^2 .

It is not a de Polignac number, because 11320747201 - 25 = 11320747169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11320747201.

It is not an unprimeable number, because it can be changed into a prime (11320747271) 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, 10958581 + ... + 10959613.

It is an arithmetic number, because the mean of its divisors is an integer number (1271422411).

Almost surely, 211320747201 is an apocalyptic number.

11320747201 is the 106399-th square number.

11320747201 is the 53200-th centered octagonal number.

It is an amenable number.

11320747201 is a deficient number, since it is larger than the sum of its proper divisors (122054498).

11320747201 is an frugal number, since it uses more digits than its factorization.

11320747201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 11320747201 in words is "eleven billion, three hundred twenty million, seven hundred forty-seven thousand, two hundred one".

Divisors: 1 103 1033 10609 106399 1067089 10959097 109910167 11320747201