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23205104051441 = 1317105000470821
BaseRepresentation
bin1010100011010110110111…
…11110111110010011110001
310001011101102121012010220112
411101223123332332103301
511020143023114121231
6121204135545151105
74613341052655314
oct521533376762361
9101141377163815
1023205104051441
117437258310344
12272937a48b495
13cc43026c3290
145a31c106097b
152a3940baa92b
hex151adbfbe4f1

23205104051441 has 8 divisors (see below), whose sum is σ = 26460118647144. Its totient is φ = 20160090397440.

The previous prime is 23205104051387. The next prime is 23205104051453. The reversal of 23205104051441 is 14415040150232.

It can be written as a sum of positive squares in 4 ways, for example, as 57314275216 + 23147789776225 = 239404^2 + 4811215^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23205104051441 - 26 = 23205104051377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23205104051398 and 23205104051407.

It is not an unprimeable number, because it can be changed into a prime (23205104051141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52500235190 + ... + 52500235631.

It is an arithmetic number, because the mean of its divisors is an integer number (3307514830893).

Almost surely, 223205104051441 is an apocalyptic number.

It is an amenable number.

23205104051441 is a deficient number, since it is larger than the sum of its proper divisors (3255014595703).

23205104051441 is a wasteful number, since it uses less digits than its factorization.

23205104051441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105000470851.

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 23205104051441 in words is "twenty-three trillion, two hundred five billion, one hundred four million, fifty-one thousand, four hundred forty-one".

Divisors: 1 13 17 221 105000470821 1365006120673 1785008003957 23205104051441