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100122220001 = 1721141966617
BaseRepresentation
bin101110100111110111…
…1111101010111100001
3100120102200121202120102
41131033233331113201
53120022242020001
6113555010352145
710143056554016
oct1351757752741
9316380552512
10100122220001
1139509423871
12174a288b655
139597c32c7b
144bbb39770d
15290ed2ce6b
hex174fbfd5e1

100122220001 has 16 divisors (see below), whose sum is σ = 106770000960. Its totient is φ = 93560839680.

The previous prime is 100122219971. The next prime is 100122220027. The reversal of 100122220001 is 100022221001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100122220001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122220201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469645 + ... + 1536261.

It is an arithmetic number, because the mean of its divisors is an integer number (6673125060).

Almost surely, 2100122220001 is an apocalyptic number.

It is an amenable number.

100122220001 is a deficient number, since it is larger than the sum of its proper divisors (6647780959).

100122220001 is a wasteful number, since it uses less digits than its factorization.

100122220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67264.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100122220001 its reverse (100022221001), we get a palindrome (200144441002).

The spelling of 100122220001 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty thousand, one".

Divisors: 1 17 211 419 3587 7123 66617 88409 1132489 1502953 14056187 27912523 238955179 474512891 5889542353 100122220001