Search a number
-
+
25101032031 = 331948929887
BaseRepresentation
bin10111011000001000…
…110101101001011111
32101210100000112201000
4113120020311221133
5402401331011111
615310430121343
71546012152255
oct273010655137
971710015630
1025101032031
11a710972979
124a46350253
1324a044b99a
1413019665d5
159bd9ccc56
hex5d8235a5f

25101032031 has 16 divisors (see below), whose sum is σ = 39143910400. Its totient is φ = 15853283064.

The previous prime is 25101032009. The next prime is 25101032053. The reversal of 25101032031 is 13023010152.

25101032031 is a `hidden beast` number, since 2 + 510 + 103 + 20 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (25101032009) and next prime (25101032053).

It is not a de Polignac number, because 25101032031 - 25 = 25101031999 is a prime.

It is a super-2 number, since 2×251010320312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25101031995 and 25101032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25101032081) 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 15 ways as a sum of consecutive naturals, for example, 24464431 + ... + 24465456.

It is an arithmetic number, because the mean of its divisors is an integer number (2446494400).

Almost surely, 225101032031 is an apocalyptic number.

25101032031 is a deficient number, since it is larger than the sum of its proper divisors (14042878369).

25101032031 is a wasteful number, since it uses less digits than its factorization.

25101032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48929915 (or 48929909 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 25101032031 its reverse (13023010152), we get a palindrome (38124042183).

The spelling of 25101032031 in words is "twenty-five billion, one hundred one million, thirty-two thousand, thirty-one".

Divisors: 1 3 9 19 27 57 171 513 48929887 146789661 440368983 929667853 1321106949 2789003559 8367010677 25101032031