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23020032100001 = 412101929145949
BaseRepresentation
bin1010011101111110001001…
…10101100000011010100001
310000111200201121122220021112
411032333010311200122201
511004130011204200001
6120543131243033105
74564066566225626
oct516770465403241
9100450647586245
1023020032100001
117375816a97a62
1226b952a20b795
13caca1a04a341
145982657d434d
1529dc0d086cbb
hex14efc4d606a1

23020032100001 has 24 divisors (see below), whose sum is σ = 23854619691000. Its totient is φ = 22212118016000.

The previous prime is 23020032099923. The next prime is 23020032100027. The reversal of 23020032100001 is 10000123002032.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7493878875025 + 15526153224976 = 2737495^2 + 3940324^2 .

It is not a de Polignac number, because 23020032100001 - 214 = 23020032083617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23020032100201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157653575 + ... + 157799523.

It is an arithmetic number, because the mean of its divisors is an integer number (993942487125).

Almost surely, 223020032100001 is an apocalyptic number.

It is an amenable number.

23020032100001 is a deficient number, since it is larger than the sum of its proper divisors (834587590999).

23020032100001 is a wasteful number, since it uses less digits than its factorization.

23020032100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147061 (or 147020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23020032100001 its reverse (10000123002032), we get a palindrome (33020155102033).

The spelling of 23020032100001 in words is "twenty-three trillion, twenty billion, thirty-two million, one hundred thousand, one".

Divisors: 1 41 101 929 1681 4141 38089 93829 145949 169781 1561649 3846989 5983909 14740849 135586621 157726549 245340269 604374809 5559051461 13694248721 24779367169 227921109901 561464197561 23020032100001