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2100103213 = 13829194869
BaseRepresentation
bin111110100101101…
…0000100000101101
312102100201022000111
41331023100200231
513300111300323
6544220300021
7103020403615
oct17513204055
95370638014
102100103213
119884a969a
124a73a1611
13276125b30
1415ccb5a45
15c4587c0d
hex7d2d082d

2100103213 has 8 divisors (see below), whose sum is σ = 2264389400. Its totient is φ = 1936208448.

The previous prime is 2100103207. The next prime is 2100103223. The reversal of 2100103213 is 3123010012.

It can be written as a sum of positive squares in 4 ways, for example, as 488321604 + 1611781609 = 22098^2 + 40147^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2100103213 - 221 = 2098006061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2100103193 and 2100103202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100103223) 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, 86658 + ... + 108211.

It is an arithmetic number, because the mean of its divisors is an integer number (283048675).

Almost surely, 22100103213 is an apocalyptic number.

It is an amenable number.

2100103213 is a deficient number, since it is larger than the sum of its proper divisors (164286187).

2100103213 is a wasteful number, since it uses less digits than its factorization.

2100103213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195711.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2100103213 is about 45826.8830818767. The cubic root of 2100103213 is about 1280.6001443926.

Adding to 2100103213 its reverse (3123010012), we get a palindrome (5223113225).

The spelling of 2100103213 in words is "two billion, one hundred million, one hundred three thousand, two hundred thirteen".

Divisors: 1 13 829 10777 194869 2533297 161546401 2100103213