Search a number
-
+
1022001112037 is a prime number
BaseRepresentation
bin11101101111101000000…
…00110110001111100101
310121200222000101201101102
432313310000312033211
5113221024241041122
62101300102405445
7133560066055553
oct16676400661745
93550860351342
101022001112037
11364478a91014
121460a2130885
13754b3419a29
14376723d6bd3
151b8b8014492
hexedf40363e5

1022001112037 has 2 divisors, whose sum is σ = 1022001112038. Its totient is φ = 1022001112036.

The previous prime is 1022001111983. The next prime is 1022001112039. The reversal of 1022001112037 is 7302111002201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 781259764321 + 240741347716 = 883889^2 + 490654^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022001112037 is a prime.

Together with 1022001112039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022001112039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511000556018 + 511000556019.

It is an arithmetic number, because the mean of its divisors is an integer number (511000556019).

Almost surely, 21022001112037 is an apocalyptic number.

It is an amenable number.

1022001112037 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022001112037 is an equidigital number, since it uses as much as digits as its factorization.

1022001112037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 1022001112037 its reverse (7302111002201), we get a palindrome (8324112114238).

The spelling of 1022001112037 in words is "one trillion, twenty-two billion, one million, one hundred twelve thousand, thirty-seven".