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2023100001 = 321329596257
BaseRepresentation
bin111100010010110…
…0000111001100001
312012222211010110200
41320211200321201
513120403200001
6532430015413
7101064031506
oct17045407141
95188733420
102023100001
11948a94a7a
12485647569
132631a47c0
1415298d4ad
15bc927086
hex78960e61

2023100001 has 24 divisors (see below), whose sum is σ = 3255568680. Its totient is φ = 1202052096.

The previous prime is 2023099999. The next prime is 2023100003. The reversal of 2023100001 is 1000013202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2023099999) and next prime (2023100003).

It can be written as a sum of positive squares in 4 ways, for example, as 25010001 + 1998090000 = 5001^2 + 44700^2 .

It is not a de Polignac number, because 2023100001 - 21 = 2023099999 is a prime.

It is a super-2 number, since 2×20231000012 = 8185867228092400002, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2023100003) 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, 294736 + ... + 301521.

It is an arithmetic number, because the mean of its divisors is an integer number (135648695).

Almost surely, 22023100001 is an apocalyptic number.

It is an amenable number.

2023100001 is a deficient number, since it is larger than the sum of its proper divisors (1232468679).

2023100001 is a wasteful number, since it uses less digits than its factorization.

2023100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596305 (or 596302 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2023100001 is about 44978.8839456917. The cubic root of 2023100001 is about 1264.7531898830.

Adding to 2023100001 its reverse (1000013202), we get a palindrome (3023113203).

The spelling of 2023100001 in words is "two billion, twenty-three million, one hundred thousand, one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 596257 1788771 5366313 7751341 17291453 23254023 51874359 69762069 155623077 224788889 674366667 2023100001