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1004212220011 = 7211133114873109
BaseRepresentation
bin11101001110011111011…
…01100111000001101011
310120000001021110101001121
432213033231213001223
5112423111312020021
62045155001000111
7132360213013600
oct16471755470153
93500037411047
101004212220011
1135797a689160
12142758783037
1373909b62710
1436865a406a7
151b1c645b741
hexe9cfb6706b

1004212220011 has 96 divisors (see below), whose sum is σ = 1418069237760. Its totient is φ = 698315385600.

The previous prime is 1004212219999. The next prime is 1004212220027. The reversal of 1004212220011 is 1100222124001.

It is not a de Polignac number, because 1004212220011 - 25 = 1004212219979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004212220111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323000125 + ... + 323003233.

It is an arithmetic number, because the mean of its divisors is an integer number (14771554560).

Almost surely, 21004212220011 is an apocalyptic number.

1004212220011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1004212220011 is a deficient number, since it is larger than the sum of its proper divisors (413857017749).

1004212220011 is a wasteful number, since it uses less digits than its factorization.

1004212220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1004212220011 its reverse (1100222124001), we get a palindrome (2104434344012).

The spelling of 1004212220011 in words is "one trillion, four billion, two hundred twelve million, two hundred twenty thousand, eleven".

Divisors: 1 7 11 13 31 49 77 91 143 217 341 403 539 637 1001 1487 1519 2387 2821 3109 4433 7007 10409 16357 16709 19331 19747 21763 31031 34199 40417 46097 72863 96379 114499 135317 152341 212641 217217 239393 282919 322679 444587 507067 599261 674653 801493 947219 1060169 1252927 1488487 1675751 1980433 2258753 3112109 3549469 4194827 4623083 4722571 6591871 7421183 8770489 10419409 13782197 21784763 24846283 29363789 32361581 46143097 50853913 51948281 60100079 61393423 96475379 143315573 226531067 323001679 355977391 420700553 661100869 675327653 1003209011 1576471303 1863102449 2491841737 2944903871 4627706083 7022463077 11035299121 13041717143 20494126939 32393942581 77247093847 91292020001 143458888573 1004212220011