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2230100001 = 321723723173
BaseRepresentation
bin1000010011101100…
…1010000000100001
312202102022211002100
42010323022000201
514031401200001
61005142441013
7106156352163
oct20473120041
95672284070
102230100001
11a44919158
12522a33169
1329703cccc
14172274933
15d0bb5586
hex84eca021

2230100001 has 36 divisors (see below), whose sum is σ = 3514522492. Its totient is φ = 1361401344.

The previous prime is 2230099981. The next prime is 2230100009. The reversal of 2230100001 is 1000010322.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 72590400 + 2157509601 = 8520^2 + 46449^2 .

It is not a de Polignac number, because 2230100001 - 27 = 2230099873 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2230100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84651 + ... + 107823.

Almost surely, 22230100001 is an apocalyptic number.

It is an amenable number.

2230100001 is a deficient number, since it is larger than the sum of its proper divisors (1284422491).

2230100001 is a wasteful number, since it uses less digits than its factorization.

2230100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23250 (or 23230 counting only the distinct ones).

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

The square root of 2230100001 is about 47223.9346200632. The cubic root of 2230100001 is about 1306.4960848734.

Adding to 2230100001 its reverse (1000010322), we get a palindrome (3230110323).

The spelling of 2230100001 in words is "two billion, two hundred thirty million, one hundred thousand, one".

Divisors: 1 3 9 17 37 51 111 153 289 333 629 867 1887 2601 5661 10693 23173 32079 69519 96237 208557 393941 857401 1181823 2572203 3545469 6696997 7716609 14575817 20090991 43727451 60272973 131182353 247788889 743366667 2230100001