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100222122220119 = 3319195364760663
BaseRepresentation
bin10110110010011011000111…
…111111100101101001010111
3111010212010211000110102202000
4112302123013333211221113
5101114014401242020434
6553053223552450343
730052544421643644
oct2662330777455127
9433763730412660
10100222122220119
1129a2aa66231819
12b2a7875b499b3
1343bcba070a6a3
141aa6ac2daadcb
15b8c019e65b99
hex5b26c7fe5a57

100222122220119 has 16 divisors (see below), whose sum is σ = 156291808531200. Its totient is φ = 63298182454488.

The previous prime is 100222122220117. The next prime is 100222122220177. The reversal of 100222122220119 is 911022221222001.

100222122220119 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 221 + 222 + 201 + 19 = 666.

It is not a de Polignac number, because 100222122220119 - 21 = 100222122220117 is a prime.

It is a super-2 number, since 2×1002221222201192 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100222122220092 and 100222122220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222122220117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97682379819 + ... + 97682380844.

It is an arithmetic number, because the mean of its divisors is an integer number (9768238033200).

Almost surely, 2100222122220119 is an apocalyptic number.

100222122220119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100222122220119 is a deficient number, since it is larger than the sum of its proper divisors (56069686311081).

100222122220119 is a wasteful number, since it uses less digits than its factorization.

100222122220119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195364760691 (or 195364760685 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 100222122220119 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred nineteen".

Divisors: 1 3 9 19 27 57 171 513 195364760663 586094281989 1758282845967 3711930452597 5274848537901 11135791357791 33407374073373 100222122220119