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1010011220001 = 3477327119001
BaseRepresentation
bin11101011001010010101…
…11000010100000100001
310120120000102022002120000
432230221113002200201
5113022000333020001
62051554233410213
7132654006501240
oct16545127024041
93516012262500
101010011220001
1135a386003733
121438b6869969
13743223b3c64
1436c55c8a957
151b4155dda86
hexeb295c2821

1010011220001 has 80 divisors (see below), whose sum is σ = 1748782387968. Its totient is φ = 568969920000.

The previous prime is 1010011219991. The next prime is 1010011220021. The reversal of 1010011220001 is 1000221100101.

It is a happy number.

It is not a de Polignac number, because 1010011220001 - 26 = 1010011219937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1010011220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112206501 + ... + 112215501.

Almost surely, 21010011220001 is an apocalyptic number.

It is an amenable number.

1010011220001 is a deficient number, since it is larger than the sum of its proper divisors (738771167967).

1010011220001 is an equidigital number, since it uses as much as digits as its factorization.

1010011220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11804 (or 11795 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010011220001 its reverse (1000221100101), we get a palindrome (2010232320102).

The spelling of 1010011220001 in words is "one trillion, ten billion, eleven million, two hundred twenty thousand, one".

Divisors: 1 3 7 9 21 27 63 73 81 189 219 511 567 657 1533 1971 2711 4599 5913 8133 9001 13797 18977 24399 27003 41391 56931 63007 73197 81009 170793 189021 197903 219591 243027 512379 567063 593709 657073 729081 1385321 1537137 1701189 1781127 1971219 4155963 4599511 5103567 5343381 5913657 12467889 13798533 16030143 17740971 24401711 37403667 41395599 53222913 73205133 112211001 124186797 170811977 219615399 372560391 512435931 658846197 1537307793 1781324903 1976538591 4611923379 5343974709 12469274321 13835770137 16031924127 37407822963 48095772381 112223468889 144287317143 336670406667 1010011220001