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1601128431 = 33718734523
BaseRepresentation
bin101111101101111…
…0100011111101111
311010120210202022000
41133123310133233
511234342102211
6422513423343
754451236630
oct13733643757
94116722260
101601128431
11751882541
1238826ab53
131c693c596
14112909887
1595873656
hex5f6f47ef

1601128431 has 32 divisors (see below), whose sum is σ = 2712952320. Its totient is φ = 914239872.

The previous prime is 1601128411. The next prime is 1601128447. The reversal of 1601128431 is 1348211061.

It is a happy number.

1601128431 is a `hidden beast` number, since 1 + 601 + 1 + 28 + 4 + 31 = 666.

It is not a de Polignac number, because 1601128431 - 215 = 1601095663 is a prime.

It is a super-2 number, since 2×16011284312 = 5127224505113043522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1601128395 and 1601128404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601128411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351736 + ... + 356258.

It is an arithmetic number, because the mean of its divisors is an integer number (84779760).

Almost surely, 21601128431 is an apocalyptic number.

1601128431 is a deficient number, since it is larger than the sum of its proper divisors (1111823889).

1601128431 is a wasteful number, since it uses less digits than its factorization.

1601128431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1601128431 is about 40014.1029013522. The cubic root of 1601128431 is about 1169.8819933579.

Adding to 1601128431 its reverse (1348211061), we get a palindrome (2949339492).

The spelling of 1601128431 in words is "one billion, six hundred one million, one hundred twenty-eight thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 1873 4523 5619 13111 13569 16857 31661 39333 40707 50571 94983 117999 122121 284949 353997 854847 8471579 25414737 59301053 76244211 177903159 228732633 533709477 1601128431