Search a number
-
+
102200112021 = 3727775723209
BaseRepresentation
bin101111100101110011…
…0011111001110010101
3100202210111112121120010
41133023212133032111
53133301212041041
6114541115030433
710245420422160
oct1371346371625
9322714477503
10102200112021
113a3853318a7
121798273b419
139839580087
144d3732aad7
1529d2479a16
hex17cb99f395

102200112021 has 32 divisors (see below), whose sum is σ = 156508929280. Its totient is φ = 58109861376.

The previous prime is 102200111989. The next prime is 102200112029. The reversal of 102200112021 is 120211002201.

It is not a de Polignac number, because 102200112021 - 25 = 102200111989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102200111988 and 102200112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200112029) 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, 4391865 + ... + 4415073.

It is an arithmetic number, because the mean of its divisors is an integer number (4890904040).

Almost surely, 2102200112021 is an apocalyptic number.

It is an amenable number.

102200112021 is a deficient number, since it is larger than the sum of its proper divisors (54308817259).

102200112021 is a wasteful number, since it uses less digits than its factorization.

102200112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24253.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102200112021 its reverse (120211002201), we get a palindrome (222411114222).

The spelling of 102200112021 in words is "one hundred two billion, two hundred million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 7 21 277 757 831 1939 2271 5299 5817 15897 23209 69627 162463 209689 487389 629067 1467823 4403469 6428893 17569213 19286679 45002251 52707639 122984491 135006753 368953473 4866672001 14600016003 34066704007 102200112021