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100022102219 = 1323666150221
BaseRepresentation
bin101110100100111001…
…0000010100011001011
3100120011201020020210102
41131021302002203023
53114321124232334
6113541032440015
710140432561314
oct1351162024313
9316151206712
10100022102219
11394679618a6
121747524900b
13958027a990
144babd7560b
15290615367e
hex1749c828cb

100022102219 has 16 divisors (see below), whose sum is σ = 112418531904. Its totient is φ = 88298812800.

The previous prime is 100022102177. The next prime is 100022102233. The reversal of 100022102219 is 912201220001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100022102219 is a prime.

It is a super-2 number, since 2×1000221022192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100022102219.

It is not an unprimeable number, because it can be changed into a prime (100022102239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1966529 + ... + 2016749.

It is an arithmetic number, because the mean of its divisors is an integer number (7026158244).

Almost surely, 2100022102219 is an apocalyptic number.

100022102219 is a deficient number, since it is larger than the sum of its proper divisors (12396429685).

100022102219 is a wasteful number, since it uses less digits than its factorization.

100022102219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56918.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 100022102219 in words is "one hundred billion, twenty-two million, one hundred two thousand, two hundred nineteen".

Divisors: 1 13 23 299 6661 50221 86593 153203 652873 1155083 1991639 15016079 334522081 4348787053 7694007863 100022102219