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102250031 = 1337920753
BaseRepresentation
bin1100001100000…
…11011000101111
321010101211200012
412012003120233
5202134000111
614051323435
72351053022
oct606033057
9233354605
10102250031
1152798a64
122a2b057b
13182509a0
14d8191b9
158e9b48b
hex618362f

102250031 has 8 divisors (see below), whose sum is σ = 110411280. Its totient is φ = 94131072.

The previous prime is 102250007. The next prime is 102250061. The reversal of 102250031 is 130052201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102250031 is a prime.

It is a super-3 number, since 3×1022500313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102249988 and 102250015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102250061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5450 + ... + 15303.

It is an arithmetic number, because the mean of its divisors is an integer number (13801410).

Almost surely, 2102250031 is an apocalyptic number.

102250031 is a deficient number, since it is larger than the sum of its proper divisors (8161249).

102250031 is a wasteful number, since it uses less digits than its factorization.

102250031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21145.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 102250031 is about 10111.8757409296. The cubic root of 102250031 is about 467.6143348518.

The spelling of 102250031 in words is "one hundred two million, two hundred fifty thousand, thirty-one".

Divisors: 1 13 379 4927 20753 269789 7865387 102250031