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300631793401 = 337216272
BaseRepresentation
bin1000101111111110000…
…11010001111011111001
31001201222112202110100201
410113333003101323321
514411143214342101
6350035222402201
730501636036532
oct4277703217371
91051875673321
10300631793401
111065518a0005
124a320b90361
13224709a9864
141079d003689
157c47dabe01
hex45ff0d1ef9

300631793401 has 9 divisors (see below), whose sum is σ = 301711963599. Its totient is φ = 299555482464.

The previous prime is 300631793393. The next prime is 300631793467. The reversal of 300631793401 is 104397136003.

The square root of 300631793401 is 548299.

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., 81068325625 + 219563467776 = 284725^2 + 468576^2 .

It is not a de Polignac number, because 300631793401 - 23 = 300631793393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (300631793491) 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, 184775950 + ... + 184777576.

It is an arithmetic number, because the mean of its divisors is an integer number (33523551511).

Almost surely, 2300631793401 is an apocalyptic number.

300631793401 is the 548299-th square number.

300631793401 is the 274150-th centered octagonal number.

It is an amenable number.

300631793401 is a deficient number, since it is larger than the sum of its proper divisors (1080170198).

300631793401 is an frugal number, since it uses more digits than its factorization.

300631793401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 300631793401 in words is "three hundred billion, six hundred thirty-one million, seven hundred ninety-three thousand, four hundred one".

Divisors: 1 337 1627 113569 548299 2647129 184776763 892082473 300631793401