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10000202219 = 72935718539
BaseRepresentation
bin10010101000000111…
…01111100111101011
3221210221010220111222
421110003233213223
5130440022432334
64332151012255
7502546213340
oct112403574753
927727126458
1010000202219
114271942a37
121b3106a08b
13c34a5b527
146ac1b67c7
153d7decd2e
hex2540ef9eb

10000202219 has 16 divisors (see below), whose sum is σ = 11489237760. Its totient is φ = 8526388320.

The previous prime is 10000202209. The next prime is 10000202231. The reversal of 10000202219 is 91220200001.

It is a cyclic number.

It is not a de Polignac number, because 10000202219 - 216 = 10000136683 is a prime.

It is a super-2 number, since 2×100002022192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000202197 and 10000202206.

It is not an unprimeable number, because it can be changed into a prime (10000202209) 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 15 ways as a sum of consecutive naturals, for example, 1166852 + ... + 1175390.

It is an arithmetic number, because the mean of its divisors is an integer number (718077360).

Almost surely, 210000202219 is an apocalyptic number.

10000202219 is a deficient number, since it is larger than the sum of its proper divisors (1489035541).

10000202219 is an equidigital number, since it uses as much as digits as its factorization.

10000202219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9410.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 10000202219 in words is "ten billion, two hundred two thousand, two hundred nineteen".

Divisors: 1 7 293 571 2051 3997 8539 59773 167303 1171121 2501927 4875769 17513489 34130383 1428600317 10000202219