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102220002110109 = 31371241797192193
BaseRepresentation
bin10111001111011111110010…
…111010100010101010011101
3111101221010200200221112112010
4113033133302322202222131
5101344233031020010414
61001223115400301433
730350102641550202
oct2717376272425235
9441833620845463
10102220002110109
112a630294359574
12b56ab07a71879
1345063c69626a0
141b35690057ca9
15bc3e9bc57959
hex5cf7f2ea2a9d

102220002110109 has 64 divisors (see below), whose sum is σ = 149650649584128. Its totient is φ = 61683484262400.

The previous prime is 102220002110053. The next prime is 102220002110129. The reversal of 102220002110109 is 901011200022201.

It is not a de Polignac number, because 102220002110109 - 29 = 102220002109597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220002110129) 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 63 ways as a sum of consecutive naturals, for example, 531765117 + ... + 531957309.

It is an arithmetic number, because the mean of its divisors is an integer number (2338291399752).

Almost surely, 2102220002110109 is an apocalyptic number.

It is an amenable number.

102220002110109 is a deficient number, since it is larger than the sum of its proper divisors (47430647474019).

102220002110109 is a wasteful number, since it uses less digits than its factorization.

102220002110109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193318.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 102220002110109 in words is "one hundred two trillion, two hundred twenty billion, two million, one hundred ten thousand, one hundred nine".

Divisors: 1 3 13 39 71 213 241 723 797 923 2391 2769 3133 9399 10361 17111 31083 51333 56587 169761 192077 192193 222443 576231 576579 667329 735631 2206893 2497001 2498509 7491003 7495527 13637467 13645703 40912401 40937109 46318513 138955539 153177821 177287071 177394139 459533463 531861213 532182417 602140669 1806422007 1991311673 3288614423 5973935019 9865843269 10875625291 32626875873 36915854861 42751987499 110747564583 128255962497 141383128783 424149386349 479906113193 1439718339579 2621025695131 7863077085393 34073334036703 102220002110109