Search a number
-
+
6121601001 = 34238131741
BaseRepresentation
bin1011011001110000…
…00011011111101001
3120210121212112220000
411230320003133221
5100014112213001
62451235053213
7304461515145
oct55470033751
916717775800
106121601001
11266153648a
12122a141209
13767333619
14421024225
1525c657a86
hex16ce037e9

6121601001 has 20 divisors (see below), whose sum is σ = 9148742724. Its totient is φ = 4079224800.

The previous prime is 6121600987. The next prime is 6121601023. The reversal of 6121601001 is 1001061216.

6121601001 is a `hidden beast` number, since 61 + 2 + 1 + 601 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1487259225 + 4634341776 = 38565^2 + 68076^2 .

It is not a de Polignac number, because 6121601001 - 214 = 6121584617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6121601081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176991 + ... + 208731.

Almost surely, 26121601001 is an apocalyptic number.

It is an amenable number.

6121601001 is a deficient number, since it is larger than the sum of its proper divisors (3027141723).

6121601001 is a wasteful number, since it uses less digits than its factorization.

6121601001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34134 (or 34125 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 6121601001 is about 78240.6607909212. The cubic root of 6121601001 is about 1829.3143440474.

Adding to 6121601001 its reverse (1001061216), we get a palindrome (7122662217).

It can be divided in two parts, 612 and 1601001, that added together give a cube (1601613 = 1173).

The spelling of 6121601001 in words is "six billion, one hundred twenty-one million, six hundred one thousand, one".

Divisors: 1 3 9 27 81 2381 7143 21429 31741 64287 95223 192861 285669 857007 2571021 75575321 226725963 680177889 2040533667 6121601001