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100222122119 = 724743518073
BaseRepresentation
bin101110101010110110…
…1000011100010000111
3100120200122121022111212
41131111231003202013
53120223330401434
6114012535522035
710145411660600
oct1352555034207
9316618538455
10100222122119
113955a8587a9
121751022931b
1395b2841052
144bca760da7
1529189b38ce
hex1755b43887

100222122119 has 12 divisors (see below), whose sum is σ = 119065450464. Its totient is φ = 84076915104.

The previous prime is 100222122109. The next prime is 100222122131. The reversal of 100222122119 is 911221222001.

It is not a de Polignac number, because 100222122119 - 224 = 100205344903 is a prime.

It is a super-2 number, since 2×1002221221192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100222122094 and 100222122103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21756734 + ... + 21761339.

It is an arithmetic number, because the mean of its divisors is an integer number (9922120872).

Almost surely, 2100222122119 is an apocalyptic number.

100222122119 is a deficient number, since it is larger than the sum of its proper divisors (18843328345).

100222122119 is an equidigital number, since it uses as much as digits as its factorization.

100222122119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43518134 (or 43518127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 100222122119 in words is "one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred nineteen".

Divisors: 1 7 47 49 329 2303 43518073 304626511 2045349431 2132385577 14317446017 100222122119