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100211120019 = 3241317856703
BaseRepresentation
bin101110101010100001…
…1000101011110010011
3100120122212220100110200
41131111003011132103
53120213021320034
6114011504030243
710145216315523
oct1352503053623
9316585810420
10100211120019
113955462375a
1217508602383
1395b048b32a
144bc90d9683
152917a3da99
hex17550c5793

100211120019 has 24 divisors (see below), whose sum is σ = 148747802112. Its totient is φ = 64972279680.

The previous prime is 100211120003. The next prime is 100211120033. The reversal of 100211120019 is 910021112001.

It is a happy number.

It is not a de Polignac number, because 100211120019 - 24 = 100211120003 is a prime.

It is a super-2 number, since 2×1002111200192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100211119983 and 100211120010.

It is not an unprimeable number, because it can be changed into a prime (100211121019) 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 23 ways as a sum of consecutive naturals, for example, 311379 + ... + 545324.

It is an arithmetic number, because the mean of its divisors is an integer number (6197825088).

Almost surely, 2100211120019 is an apocalyptic number.

100211120019 is a deficient number, since it is larger than the sum of its proper divisors (48536682093).

100211120019 is a wasteful number, since it uses less digits than its factorization.

100211120019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857067 (or 857064 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 100211120019 in words is "one hundred billion, two hundred eleven million, one hundred twenty thousand, nineteen".

Divisors: 1 3 9 41 123 317 369 951 2853 12997 38991 116973 856703 2570109 7710327 35124823 105374469 271574851 316123407 814724553 2444173659 11134568891 33403706673 100211120019