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106400100111101 is a prime number
BaseRepresentation
bin11000001100010100110100…
…001010111101001011111101
3111221201202020220210121210022
4120030110310022331023331
5102421224401112023401
61014143310423421525
731261103445401516
oct3014246412751375
9457652226717708
10106400100111101
11309a2035738975
12bb250762b48a5
13474a6427962c4
141c3bb141c3a0d
15c47a9dd2871b
hex60c5342bd2fd

106400100111101 has 2 divisors, whose sum is σ = 106400100111102. Its totient is φ = 106400100111100.

The previous prime is 106400100111091. The next prime is 106400100111139. The reversal of 106400100111101 is 101111001004601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83514649663225 + 22885450447876 = 9138635^2 + 4783874^2 .

It is a cyclic number.

It is not a de Polignac number, because 106400100111101 - 218 = 106400099848957 is a prime.

It is a super-2 number, since 2×1064001001111012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106400100111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106400100111161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53200050055550 + 53200050055551.

It is an arithmetic number, because the mean of its divisors is an integer number (53200050055551).

Almost surely, 2106400100111101 is an apocalyptic number.

It is an amenable number.

106400100111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

106400100111101 is an equidigital number, since it uses as much as digits as its factorization.

106400100111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 106400100111101 its reverse (101111001004601), we get a palindrome (207511101115702).

The spelling of 106400100111101 in words is "one hundred six trillion, four hundred billion, one hundred million, one hundred eleven thousand, one hundred one".