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1022304314201 is a prime number
BaseRepresentation
bin11101110000001100001…
…01011110001101011001
310121201202010220222120012
432320012011132031121
5113222134401023301
62101350133211305
7133600440203102
oct16700605361531
93551663828505
101022304314201
11364614152315
12146167790b35
13755311991b1
14376a07a13a9
151b8d4956ebb
hexee0615e359

1022304314201 has 2 divisors, whose sum is σ = 1022304314202. Its totient is φ = 1022304314200.

The previous prime is 1022304314153. The next prime is 1022304314209. The reversal of 1022304314201 is 1024134032201.

1022304314201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1013968441600 + 8335872601 = 1006960^2 + 91301^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022304314201 - 226 = 1022237205337 is a prime.

It is a super-2 number, since 2×10223043142012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1022304314209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511152157100 + 511152157101.

It is an arithmetic number, because the mean of its divisors is an integer number (511152157101).

Almost surely, 21022304314201 is an apocalyptic number.

It is an amenable number.

1022304314201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022304314201 is an equidigital number, since it uses as much as digits as its factorization.

1022304314201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1022304314201 its reverse (1024134032201), we get a palindrome (2046438346402).

The spelling of 1022304314201 in words is "one trillion, twenty-two billion, three hundred four million, three hundred fourteen thousand, two hundred one".