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100000020219 = 31171229186377
BaseRepresentation
bin101110100100001110…
…1110011011011111011
3100120010011200100222120
41131020131303123323
53114300001121334
6113534523252323
710140044101311
oct1351035633373
9316104610876
10100000020219
113945644a310
121746997a0a3
1395788189c8
144ba90680b1
152904240949
hex17487736fb

100000020219 has 32 divisors (see below), whose sum is σ = 148148144640. Its totient is φ = 59491219200.

The previous prime is 100000020181. The next prime is 100000020229. The reversal of 100000020219 is 912020000001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-100000020219 is a prime.

It is a super-2 number, since 2×1000000202192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100000020198 and 100000020207.

It is not an unprimeable number, because it can be changed into a prime (100000020229) 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 31 ways as a sum of consecutive naturals, for example, 443359 + ... + 629735.

It is an arithmetic number, because the mean of its divisors is an integer number (4629629520).

Almost surely, 2100000020219 is an apocalyptic number.

100000020219 is a deficient number, since it is larger than the sum of its proper divisors (48148124421).

100000020219 is a wasteful number, since it uses less digits than its factorization.

100000020219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186691.

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 100000020219 in words is "one hundred billion, twenty thousand, two hundred nineteen".

Divisors: 1 3 11 33 71 213 229 687 781 2343 2519 7557 16259 48777 178849 186377 536547 559131 2050147 6150441 13232767 39698301 42680333 128040999 145560437 436681311 469483663 1408450989 3030303643 9090910929 33333340073 100000020219