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100022101229 is a prime number
BaseRepresentation
bin101110100100111001…
…0000010010011101101
3100120011201020012102202
41131021302002103231
53114321124214404
6113541032431245
710140432555401
oct1351162022355
9316151205382
10100022101229
1139467961086
1217475248525
13958027a3ab
144babd75101
15290615321e
hex1749c824ed

100022101229 has 2 divisors, whose sum is σ = 100022101230. Its totient is φ = 100022101228.

The previous prime is 100022101181. The next prime is 100022101241. The reversal of 100022101229 is 922101220001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53188813129 + 46833288100 = 230627^2 + 216410^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100022101229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100022101229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022131229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011050614 + 50011050615.

It is an arithmetic number, because the mean of its divisors is an integer number (50011050615).

Almost surely, 2100022101229 is an apocalyptic number.

It is an amenable number.

100022101229 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022101229 is an equidigital number, since it uses as much as digits as its factorization.

100022101229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 100022101229 in words is "one hundred billion, twenty-two million, one hundred one thousand, two hundred twenty-nine".