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101222420413 is a prime number
BaseRepresentation
bin101111001000101010…
…0111000111110111101
3100200021100211201210211
41132101110320332331
53124300414423123
6114300111432421
710212246243262
oct1362124707675
9320240751724
10101222420413
1139a23465704
121774b225711
139711b53c2a
144c83549269
15297670340d
hex1791538fbd

101222420413 has 2 divisors, whose sum is σ = 101222420414. Its totient is φ = 101222420412.

The previous prime is 101222420389. The next prime is 101222420449. The reversal of 101222420413 is 314024222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93527095684 + 7695324729 = 305822^2 + 87723^2 .

It is an emirp because it is prime and its reverse (314024222101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101222420413 is a prime.

It is a super-2 number, since 2×1012224204132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222420473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611210206 + 50611210207.

It is an arithmetic number, because the mean of its divisors is an integer number (50611210207).

Almost surely, 2101222420413 is an apocalyptic number.

It is an amenable number.

101222420413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222420413 is an equidigital number, since it uses as much as digits as its factorization.

101222420413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101222420413 its reverse (314024222101), we get a palindrome (415246642514).

The spelling of 101222420413 in words is "one hundred one billion, two hundred twenty-two million, four hundred twenty thousand, four hundred thirteen".