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2112223100202 = 232101233221401
BaseRepresentation
bin11110101111001010010…
…011101011110100101010
321110221000110102000111200
4132233022103223310222
5234101313103201302
64254201503305030
7305413600055145
oct36571223536452
97427013360450
102112223100202
11744874968a96
122a14432ab176
131242494c0187
147433700505c
1539e2535681c
hex1ebca4ebd2a

2112223100202 has 72 divisors (see below), whose sum is σ = 4641933156588. Its totient is φ = 694079040000.

The previous prime is 2112223100201. The next prime is 2112223100219. The reversal of 2112223100202 is 2020013222112.

2112223100202 is a `hidden beast` number, since 211 + 22 + 231 + 0 + 0 + 202 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 687110024241 + 1425113075961 = 828921^2 + 1193781^2 .

It is a super-4 number, since 4×21122231002024 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2112223100201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98686702 + ... + 98708102.

Almost surely, 22112223100202 is an apocalyptic number.

2112223100202 is an abundant number, since it is smaller than the sum of its proper divisors (2529710056386).

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

2112223100202 is a wasteful number, since it uses less digits than its factorization.

2112223100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21976 (or 21740 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2112223100202 its reverse (2020013222112), we get a palindrome (4132236322314).

The spelling of 2112223100202 in words is "two trillion, one hundred twelve billion, two hundred twenty-three million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 9 18 101 202 233 303 466 606 699 909 1398 1818 2097 4194 21401 23533 42802 47066 54289 64203 70599 108578 128406 141198 162867 192609 211797 325734 385218 423594 488601 977202 2161501 4323002 4986433 5483189 6484503 9972866 10966378 12969006 14959299 16449567 19453509 29918598 32899134 38907018 44877897 49348701 89755794 98697402 503629733 1007259466 1161838889 1510889199 2323677778 3021778398 3485516667 4532667597 6971033334 9065335194 10456550001 20913100002 117345727789 234691455578 352037183367 704074366734 1056111550101 2112223100202