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106983751601 is a prime number
BaseRepresentation
bin110001110100010111…
…0100111111110110001
3101020010212210200102102
41203220232213332301
53223100320022401
6121051521030145
710505104612226
oct1435056477661
9336125720372
10106983751601
114140a5a2041
1218898785355
13a11c646a3c
14526c78b94d
152bb23e456b
hex18e8ba7fb1

106983751601 has 2 divisors, whose sum is σ = 106983751602. Its totient is φ = 106983751600.

The previous prime is 106983751597. The next prime is 106983751621. The reversal of 106983751601 is 106157389601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75174672400 + 31809079201 = 274180^2 + 178351^2 .

It is an emirp because it is prime and its reverse (106157389601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106983751601 - 22 = 106983751597 is a prime.

It is a super-2 number, since 2×1069837516012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106983751621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53491875800 + 53491875801.

It is an arithmetic number, because the mean of its divisors is an integer number (53491875801).

Almost surely, 2106983751601 is an apocalyptic number.

It is an amenable number.

106983751601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106983751601 is an equidigital number, since it uses as much as digits as its factorization.

106983751601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 106983751601 in words is "one hundred six billion, nine hundred eighty-three million, seven hundred fifty-one thousand, six hundred one".