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1021112221194 = 23213113159724181
BaseRepresentation
bin11101101101111110000…
…01111111111000001010
310121121200001210101101100
432312333001333320022
5113212214212034234
62101031550402230
7133526053446222
oct16667701777012
93547601711340
101021112221194
1136406225718a
12145a94500376
13753a1212a10
14375ca32d082
151b864e7e399
hexedbf07fe0a

1021112221194 has 96 divisors (see below), whose sum is σ = 2405284683984. Its totient is φ = 311200081920.

The previous prime is 1021112221189. The next prime is 1021112221223. The reversal of 1021112221194 is 4911222111201.

It can be written as a sum of positive squares in 8 ways, for example, as 52732233225 + 968379987969 = 229635^2 + 984063^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42215784 + ... + 42239964.

Almost surely, 21021112221194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021112221194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202642341992).

1021112221194 is an abundant number, since it is smaller than the sum of its proper divisors (1384172462790).

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

1021112221194 is a wasteful number, since it uses less digits than its factorization.

1021112221194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25912 (or 25909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 1021112221194 its reverse (4911222111201), we get a palindrome (5932334332395).

The spelling of 1021112221194 in words is "one trillion, twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 1597 2034 2938 3194 4407 4791 8814 9582 13221 14373 20761 24181 26442 28746 41522 48362 62283 72543 124566 145086 180461 186849 217629 314353 360922 373698 435258 541383 628706 943059 1082766 1624149 1886118 2345993 2732453 2829177 3248298 4691986 5464906 5658354 7037979 8197359 14075958 16394718 21113937 24592077 35521889 38617057 42227874 49184154 71043778 77234114 106565667 115851171 213131334 231702342 319697001 347553513 502021741 639394002 695107026 1004043482 1506065223 3012130446 4363727441 4518195669 8727454882 9036391338 13091182323 26182364646 39273546969 56728456733 78547093938 113456913466 170185370199 340370740398 510556110597 1021112221194