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1001021111226 = 2321773193232189
BaseRepresentation
bin11101001000100011000…
…00011111101110111010
310112200210212211020202100
432210101200133232322
5112400042401024401
62043510204244230
7132215144024463
oct16442140375672
93480725736670
101001021111226
11356592358974
12142007b40676
137351b9b7b76
1436641ccbd6a
151b08b217b86
hexe91181fbba

1001021111226 has 96 divisors (see below), whose sum is σ = 2339990387280. Its totient is φ = 308137623552.

The previous prime is 1001021111221. The next prime is 1001021111227. The reversal of 1001021111226 is 6221111201001.

It can be written as a sum of positive squares in 8 ways, for example, as 316018244025 + 685002867201 = 562155^2 + 827649^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1001021111199 and 1001021111208.

It is not an unprimeable number, because it can be changed into a prime (1001021111221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4195140 + ... + 4427328.

Almost surely, 21001021111226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001021111226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169995193640).

1001021111226 is an abundant number, since it is smaller than the sum of its proper divisors (1338969276054).

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

1001021111226 is a wasteful number, since it uses less digits than its factorization.

1001021111226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232480 (or 232477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1001021111226 its reverse (6221111201001), we get a palindrome (7222132312227).

The spelling of 1001021111226 in words is "one trillion, one billion, twenty-one million, one hundred eleven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 73 102 146 153 193 219 306 386 438 579 657 1158 1241 1314 1737 2482 3281 3474 3723 6562 7446 9843 11169 14089 19686 22338 28178 29529 42267 59058 84534 126801 232189 239513 253602 464378 479026 696567 718539 1393134 1437078 2089701 2155617 3947213 4179402 4311234 7894426 11841639 16949797 23683278 33899594 35524917 44812477 50849391 71049834 89624954 101698782 134437431 152548173 268874862 288146549 305096346 403312293 576293098 761812109 806624586 864439647 1523624218 1728879294 2285436327 2593318941 3271310821 4570872654 5186637882 6542621642 6856308981 9813932463 13712617962 19627864926 29441797389 55612283957 58883594778 111224567914 166836851871 333673703742 500510555613 1001021111226