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20102210002112 = 2671491663181087
BaseRepresentation
bin1001001001000011010010…
…00101100001110011000000
32122011202022120121120212112
410210201221011201303000
510113323311230031422
6110430454445114452
74143223334505140
oct444415105416300
978152276546775
1020102210002112
116450332534467
122307b39558a28
13b2a826917624
144d6d48a00920
1524cd88115ee2
hex124869161cc0

20102210002112 has 112 divisors (see below), whose sum is σ = 45922757836800. Its totient is φ = 8552219507712.

The previous prime is 20102210002093. The next prime is 20102210002139. The reversal of 20102210002112 is 21120001220102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110918033 + ... + 111099119.

Almost surely, 220102210002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102210002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22961378918400).

20102210002112 is an abundant number, since it is smaller than the sum of its proper divisors (25820547834688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20102210002112 is a wasteful number, since it uses less digits than its factorization.

20102210002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182918 (or 182908 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20102210002112 its reverse (21120001220102), we get a palindrome (41222211222214).

The spelling of 20102210002112 in words is "twenty trillion, one hundred two billion, two hundred ten million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 149 224 298 448 596 1043 1192 1663 2086 2384 3326 4172 4768 6652 8344 9536 11641 13304 16688 23282 26608 33376 46564 53216 66752 93128 106432 181087 186256 247787 362174 372512 495574 724348 745024 991148 1267609 1448696 1734509 1982296 2535218 2897392 3469018 3964592 5070436 5794784 6938036 7929184 10140872 11589568 13876072 15858368 20281744 26981963 27752144 40563488 53963926 55504288 81126976 107927852 111008576 188873741 215855704 301147681 377747482 431711408 602295362 755494964 863422816 1204590724 1510989928 1726845632 2108033767 2409181448 3021979856 4216067534 4818362896 6043959712 8432135068 9636725792 12087919424 16864270136 19273451584 33728540272 44871004469 67457080544 89742008938 134914161088 179484017876 314097031283 358968035752 628194062566 717936071504 1256388125132 1435872143008 2512776250264 2871744286016 5025552500528 10051105001056 20102210002112