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1001122123033 = 17531111123333
BaseRepresentation
bin11101001000101111000…
…01110100110100011001
310112201001220220011220101
432210113201310310121
5112400244230414113
62043524213255401
7132220511432524
oct16442741646431
93481056804811
101001122123033
113566343805aa
12142035934561
13735368c4076
14366514a3bbb
151b09501c2dd
hexe917874d19

1001122123033 has 8 divisors (see below), whose sum is σ = 1080011880648. Its totient is φ = 924454612224.

The previous prime is 1001122123031. The next prime is 1001122123069. The reversal of 1001122123033 is 3303212211001.

1001122123033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 303768527104 + 697353595929 = 551152^2 + 835077^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001122123033 - 21 = 1001122123031 is a prime.

It is a super-2 number, since 2×10011221230332 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001122123033.

It is not an unprimeable number, because it can be changed into a prime (1001122123031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555560766 + ... + 555562567.

It is an arithmetic number, because the mean of its divisors is an integer number (135001485081).

Almost surely, 21001122123033 is an apocalyptic number.

It is an amenable number.

1001122123033 is a deficient number, since it is larger than the sum of its proper divisors (78889757615).

1001122123033 is a wasteful number, since it uses less digits than its factorization.

1001122123033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111123403.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1001122123033 its reverse (3303212211001), we get a palindrome (4304334334034).

The spelling of 1001122123033 in words is "one trillion, one billion, one hundred twenty-two million, one hundred twenty-three thousand, thirty-three".

Divisors: 1 17 53 901 1111123333 18889096661 58889536649 1001122123033