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106562651401 is a prime number
BaseRepresentation
bin110001100111110100…
…0010000010100001001
3101012001112102120112201
41203033220100110021
53221220014321101
6120542035240201
710461502406653
oct1431750202411
9335045376481
10106562651401
1141213925248
121879b749061
13a08332831b
14522c8936d3
152b8a463e01
hex18cfa10509

106562651401 has 2 divisors, whose sum is σ = 106562651402. Its totient is φ = 106562651400.

The previous prime is 106562651399. The next prime is 106562651413. The reversal of 106562651401 is 104156265601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83428545600 + 23134105801 = 288840^2 + 152099^2 .

It is a cyclic number.

It is not a de Polignac number, because 106562651401 - 21 = 106562651399 is a prime.

It is a super-2 number, since 2×1065626514012 (a number of 23 digits) contains 22 as substring.

Together with 106562651399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106562651441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53281325700 + 53281325701.

It is an arithmetic number, because the mean of its divisors is an integer number (53281325701).

Almost surely, 2106562651401 is an apocalyptic number.

It is an amenable number.

106562651401 is a deficient number, since it is larger than the sum of its proper divisors (1).

106562651401 is an equidigital number, since it uses as much as digits as its factorization.

106562651401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 106562651401 in words is "one hundred six billion, five hundred sixty-two million, six hundred fifty-one thousand, four hundred one".