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100122200001 = 3261712568619
BaseRepresentation
bin101110100111110111…
…1111000011111000001
3100120102200120202010200
41131033233320133001
53120022240400001
6113555010115413
710143056441505
oct1351757703701
9316380522120
10100122200001
113950940a83a
12174a287bb69
139597c26b35
144bbb390305
15290ed27086
hex174fbf87c1

100122200001 has 24 divisors (see below), whose sum is σ = 149062155840. Its totient is φ = 64729173600.

The previous prime is 100122199999. The next prime is 100122200069. The reversal of 100122200001 is 100002221001.

It is not a de Polignac number, because 100122200001 - 21 = 100122199999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100122200501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245331 + ... + 1323288.

It is an arithmetic number, because the mean of its divisors is an integer number (6210923160).

Almost surely, 2100122200001 is an apocalyptic number.

It is an amenable number.

100122200001 is a deficient number, since it is larger than the sum of its proper divisors (48939955839).

100122200001 is a wasteful number, since it uses less digits than its factorization.

100122200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568757 (or 2568754 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100122200001 its reverse (100002221001), we get a palindrome (200124421002).

The spelling of 100122200001 in words is "one hundred billion, one hundred twenty-two million, two hundred thousand, one".

Divisors: 1 3 9 61 71 183 213 549 639 4331 12993 38979 2568619 7705857 23117571 156685759 182371949 470057277 547115847 1410171831 1641347541 11124688889 33374066667 100122200001