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235301431601 = 2921977369197
BaseRepresentation
bin1101101100100100001…
…1101110100100110001
3211111100120011012212002
43123021003232210301
512323344131302401
6300032422143345
722666663111445
oct3331103564461
9744316135762
10235301431601
1190877584265
1239729b81b55
131925bb22442
14b562654825
1561c26e7a6b
hex36c90ee931

235301431601 has 8 divisors (see below), whose sum is σ = 243427009320. Its totient is φ = 227176636288.

The previous prime is 235301431579. The next prime is 235301431613. The reversal of 235301431601 is 106134103532.

235301431601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37166056225 + 198135375376 = 192785^2 + 445124^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-235301431601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (235301431691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452735 + ... + 821931.

It is an arithmetic number, because the mean of its divisors is an integer number (30428376165).

Almost surely, 2235301431601 is an apocalyptic number.

It is an amenable number.

235301431601 is a deficient number, since it is larger than the sum of its proper divisors (8125577719).

235301431601 is a wasteful number, since it uses less digits than its factorization.

235301431601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391203.

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 235301431601 in words is "two hundred thirty-five billion, three hundred one million, four hundred thirty-one thousand, six hundred one".

Divisors: 1 29 21977 369197 637333 10706713 8113842469 235301431601