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135276104401 = 197218672
BaseRepresentation
bin111110111111100010…
…1011000101011010001
3110221011121212010012221
41331333011120223101
54204021140320101
6142051152221041
712526160625634
oct1757705305321
9427147763187
10135276104401
115240891a499
122227383a781
13c9aacb58b9
1467940bdc1b
1537bb158aa1
hex1f7f158ad1

135276104401 has 9 divisors (see below), whose sum is σ = 136039135899. Its totient is φ = 134517335064.

The previous prime is 135276104323. The next prime is 135276104423. The reversal of 135276104401 is 104401672531.

The square root of 135276104401 is 367799.

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., 132543324225 + 2732780176 = 364065^2 + 52276^2 .

It is not a de Polignac number, because 135276104401 - 215 = 135276071633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135276104441) 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, 72455470 + ... + 72457336.

Almost surely, 2135276104401 is an apocalyptic number.

135276104401 is the 367799-th square number.

135276104401 is the 183900-th centered octagonal number.

It is an amenable number.

135276104401 is a deficient number, since it is larger than the sum of its proper divisors (763031498).

135276104401 is an frugal number, since it uses more digits than its factorization.

135276104401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 135276104401 its reverse (104401672531), we get a palindrome (239677776932).

The spelling of 135276104401 in words is "one hundred thirty-five billion, two hundred seventy-six million, one hundred four thousand, four hundred one".

Divisors: 1 197 1867 38809 367799 3485689 72456403 686680733 135276104401