Search a number
-
+
10122002200319 is a prime number
BaseRepresentation
bin1001001101001011011001…
…0110000111011011111111
31022211122122201220011211012
42103102312112013123333
52311314330030402234
633305552243345435
72063201436054362
oct223226626073377
938748581804735
1010122002200319
1132527983a8949
12117586608227b
135856680aa5b9
1426dc9c3440d9
1512846aa930ce
hex934b65876ff

10122002200319 has 2 divisors, whose sum is σ = 10122002200320. Its totient is φ = 10122002200318.

The previous prime is 10122002200273. The next prime is 10122002200333. The reversal of 10122002200319 is 91300220022101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122002200319 is a prime.

It is a super-2 number, since 2×101220022003192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122002200294 and 10122002200303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122002203319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061001100159 + 5061001100160.

It is an arithmetic number, because the mean of its divisors is an integer number (5061001100160).

Almost surely, 210122002200319 is an apocalyptic number.

10122002200319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122002200319 is an equidigital number, since it uses as much as digits as its factorization.

10122002200319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 10122002200319 in words is "ten trillion, one hundred twenty-two billion, two million, two hundred thousand, three hundred nineteen".