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1010002222112 = 251350312014019
BaseRepresentation
bin11101011001010001101…
…00101101110000100000
310120112222210100221202212
432230220310231300200
5113021441032101422
62051553312501252
7132653540144312
oct16545064556040
93515883327685
101010002222112
1135a380a18464
121438b384a828
1374320583570
1436c549c77b2
151b4149129e2
hexeb28d2dc20

1010002222112 has 96 divisors (see below), whose sum is σ = 2147977077120. Its totient is φ = 464725094400.

The previous prime is 1010002222111. The next prime is 1010002222127. The reversal of 1010002222112 is 2112222000101.

It is not an unprimeable number, because it can be changed into a prime (1010002222111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251304839 + ... + 251308857.

It is an arithmetic number, because the mean of its divisors is an integer number (22374761220).

Almost surely, 21010002222112 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 1010002222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073988538560).

1010002222112 is an abundant number, since it is smaller than the sum of its proper divisors (1137974855008).

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

1010002222112 is a wasteful number, since it uses less digits than its factorization.

1010002222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5738 counting only the distinct ones).

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

Adding to 1010002222112 its reverse (2112222000101), we get a palindrome (3122224222213).

The spelling of 1010002222112 in words is "one trillion, ten billion, two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 503 1006 1201 2012 2402 4019 4024 4804 6539 8038 8048 9608 13078 15613 16076 16096 19216 26156 31226 32152 38432 52247 52312 62452 64304 104494 104624 124904 128608 208988 209248 249808 417976 499616 604103 835952 1208206 1671904 2021557 2416412 4043114 4826819 4832824 7853339 8086228 9653638 9665648 15706678 16172456 19307276 19331296 26280241 31413356 32344912 38614552 52560482 62748647 62826712 64689824 77229104 105120964 125497294 125653424 154458208 210241928 250994588 251306848 420483856 501989176 840967712 1003978352 2007956704 2427889957 4855779914 9711559828 19423119656 31562569441 38846239312 63125138882 77692478624 126250277764 252500555528 505001111056 1010002222112