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31242123001 is a prime number
BaseRepresentation
bin11101000110001011…
…001111011011111001
32222122022120021210201
4131012023033123321
51002440440414001
622204043042201
72154131443465
oct350613173371
988568507721
1031242123001
1112282400471
12607ab10361
132c3b81751b
1417253c14a5
15c2cbd5501
hex7462cf6f9

31242123001 has 2 divisors, whose sum is σ = 31242123002. Its totient is φ = 31242123000.

The previous prime is 31242122999. The next prime is 31242123013. The reversal of 31242123001 is 10032124213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30642852601 + 599270400 = 175051^2 + 24480^2 .

It is an emirp because it is prime and its reverse (10032124213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31242123001 - 21 = 31242122999 is a prime.

It is a super-2 number, since 2×312421230012 (a number of 22 digits) contains 22 as substring.

Together with 31242122999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 31242123001.

It is not a weakly prime, because it can be changed into another prime (31242123091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15621061500 + 15621061501.

It is an arithmetic number, because the mean of its divisors is an integer number (15621061501).

Almost surely, 231242123001 is an apocalyptic number.

It is an amenable number.

31242123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31242123001 is an equidigital number, since it uses as much as digits as its factorization.

31242123001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 31242123001 its reverse (10032124213), we get a palindrome (41274247214).

It can be divided in two parts, 3124212 and 3001, that added together give a palindrome (3127213).

The spelling of 31242123001 in words is "thirty-one billion, two hundred forty-two million, one hundred twenty-three thousand, one".