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2100428031 = 31370176829
BaseRepresentation
bin111110100110001…
…1111110011111111
312102101022210120210
41331030133303333
513300202144111
6544231243503
7103023225612
oct17514376377
95371283523
102100428031
11988700739
124a7519593
1327620a930
1415cd5c179
15c45ee0a6
hex7d31fcff

2100428031 has 16 divisors (see below), whose sum is σ = 3020340960. Its totient is φ = 1290710400.

The previous prime is 2100428021. The next prime is 2100428039. The reversal of 2100428031 is 1308240012.

It is not a de Polignac number, because 2100428031 - 217 = 2100296959 is a prime.

It is a super-2 number, since 2×21004280312 = 8823595826821073922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100427989 and 2100428007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100428039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11076 + ... + 65753.

It is an arithmetic number, because the mean of its divisors is an integer number (188771310).

Almost surely, 22100428031 is an apocalyptic number.

2100428031 is a deficient number, since it is larger than the sum of its proper divisors (919912929).

2100428031 is a wasteful number, since it uses less digits than its factorization.

2100428031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77546.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2100428031 is about 45830.4269126963. The cubic root of 2100428031 is about 1280.6661634548. Note that the first 3 decimals are identical.

Adding to 2100428031 its reverse (1308240012), we get a palindrome (3408668043).

The spelling of 2100428031 in words is "two billion, one hundred million, four hundred twenty-eight thousand, thirty-one".

Divisors: 1 3 13 39 701 2103 9113 27339 76829 230487 998777 2996331 53857129 161571387 700142677 2100428031