Search a number
-
+
3133013301 = 3211191223743
BaseRepresentation
bin1011101010111101…
…1111110100110101
322002100022120021200
42322233133310311
522404022411201
61234515203113
7140432113365
oct27257376465
98070276250
103133013301
1113685602a0
127352a6499
133ac116732
1421a14c9a5
151350ba386
hexbabdfd35

3133013301 has 48 divisors (see below), whose sum is σ = 4991680512. Its totient is φ = 1877853600.

The previous prime is 3133013293. The next prime is 3133013309. The reversal of 3133013301 is 1033103313.

3133013301 is a `hidden beast` number, since 3 + 1 + 330 + 1 + 330 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3133013293) and next prime (3133013309).

It is not a de Polignac number, because 3133013301 - 23 = 3133013293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133013309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4216336 + ... + 4217078.

It is an arithmetic number, because the mean of its divisors is an integer number (103993344).

Almost surely, 23133013301 is an apocalyptic number.

It is an amenable number.

3133013301 is a deficient number, since it is larger than the sum of its proper divisors (1858667211).

3133013301 is a wasteful number, since it uses less digits than its factorization.

3133013301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 3133013301 is about 55973.3266922737. The cubic root of 3133013301 is about 1463.2574576410.

Adding to 3133013301 its reverse (1033103313), we get a palindrome (4166116614).

The spelling of 3133013301 in words is "three billion, one hundred thirty-three million, thirteen thousand, three hundred one".

Divisors: 1 3 9 11 33 99 191 223 573 669 743 1719 2007 2101 2229 2453 6303 6687 7359 8173 18909 22077 24519 42593 73557 127779 141913 165689 383337 425739 468523 497067 1277217 1405569 1491201 1561043 1822579 4216707 4683129 5467737 14049387 16403211 31646599 94939797 284819391 348112589 1044337767 3133013301