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2100412021 = 11352135677
BaseRepresentation
bin111110100110001…
…1011111001110101
312102101021222121211
41331030123321311
513300201141041
6544231041421
7103023131131
oct17514337165
95371258554
102100412021
1198869a704
124a7510271
13276203566
1415cd563c1
15c45e9481
hex7d31be75

2100412021 has 8 divisors (see below), whose sum is σ = 2123126424. Its totient is φ = 2077770240.

The previous prime is 2100412009. The next prime is 2100412063. The reversal of 2100412021 is 1202140012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7349521 + 2093062500 = 2711^2 + 45750^2 .

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 2100412021 - 211 = 2100409973 is a prime.

It is a super-2 number, since 2×21004120212 = 8823461315922608882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100411992 and 2100412010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100412121) 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, 41035 + ... + 76711.

It is an arithmetic number, because the mean of its divisors is an integer number (265390803).

Almost surely, 22100412021 is an apocalyptic number.

It is an amenable number.

2100412021 is a deficient number, since it is larger than the sum of its proper divisors (22714403).

2100412021 is a wasteful number, since it uses less digits than its factorization.

2100412021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36311.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2100412021 is about 45830.2522467420. The cubic root of 2100412021 is about 1280.6629095915.

Adding to 2100412021 its reverse (1202140012), we get a palindrome (3302552033).

The spelling of 2100412021 in words is "two billion, one hundred million, four hundred twelve thousand, twenty-one".

Divisors: 1 113 521 35677 58873 4031501 18587717 2100412021