Search a number
-
+
10222111000112 = 2411791634510381
BaseRepresentation
bin1001010011000000010101…
…0010111000011000110000
31100012020001111021010022212
42110300011102320120300
52314434340404000422
633423550054351252
72103344303605424
oct224600522703060
940166044233285
1010222111000112
11329119a195930
12119114435b528
13591c302c1ccb
14274a77a06b84
1512ad7961e9e2
hex94c054b8630

10222111000112 has 80 divisors (see below), whose sum is σ = 22013550804480. Its totient is φ = 4559452934400.

The previous prime is 10222111000097. The next prime is 10222111000121. The reversal of 10222111000112 is 21100011122201.

It is a super-2 number, since 2×102221110001122 (a number of 27 digits) contains 22 as substring.

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, 11162 + ... + 4521542.

It is an arithmetic number, because the mean of its divisors is an integer number (275169385056).

Almost surely, 210222111000112 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 10222111000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006775402240).

10222111000112 is an abundant number, since it is smaller than the sum of its proper divisors (11791439804368).

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

10222111000112 is a wasteful number, since it uses less digits than its factorization.

10222111000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510642 (or 4510636 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10222111000112 its reverse (21100011122201), we get a palindrome (31322122122313).

The spelling of 10222111000112 in words is "ten trillion, two hundred twenty-two billion, one hundred eleven million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 79 88 158 163 176 316 326 632 652 869 1264 1304 1738 1793 2608 3476 3586 6952 7172 12877 13904 14344 25754 28688 51508 103016 141647 206032 283294 566588 1133176 2266352 4510381 9020762 18041524 36083048 49614191 72166096 99228382 198456764 356320099 396913528 712640198 735192103 793827056 1425280396 1470384206 2850560792 2940768412 3919521089 5701121584 5881536824 7839042178 8087113133 11763073648 15678084356 16174226266 31356168712 32348452532 58080176137 62712337424 64696905064 116160352274 129393810128 232320704548 464641409096 638881937507 929282818192 1277763875014 2555527750028 5111055500056 10222111000112