Search a number
-
+
10122221081039 is a prime number
BaseRepresentation
bin1001001101001100001101…
…1001000101000111001111
31022211200012222202110201112
42103103003121011013033
52311320302044043124
633310030103002235
72063210034366524
oct223230331050717
938750188673645
1010122221081039
11325289aa07201
12117590743937b
135856a1545712
1426dcbd43d14b
1512847edcb90e
hex934c36451cf

10122221081039 has 2 divisors, whose sum is σ = 10122221081040. Its totient is φ = 10122221081038.

The previous prime is 10122221080999. The next prime is 10122221081053. The reversal of 10122221081039 is 93018012222101.

It is a strong prime.

It is an emirp because it is prime and its reverse (93018012222101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122221081039 is a prime.

It is a super-2 number, since 2×101222210810392 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122221080996 and 10122221081014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122221081059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061110540519 + 5061110540520.

It is an arithmetic number, because the mean of its divisors is an integer number (5061110540520).

Almost surely, 210122221081039 is an apocalyptic number.

10122221081039 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122221081039 is an equidigital number, since it uses as much as digits as its factorization.

10122221081039 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 10122221081039 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, eighty-one thousand, thirty-nine".