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2101062114 = 232116725673
BaseRepresentation
bin111110100111011…
…1010100111100010
312102102112000101100
41331032322213202
513300332441424
6544253015230
7103031506344
oct17516724742
95372460340
102101062114
11988aa4078
124a7784516
132763a0428
1415d085294
15c46c6dc9
hex7d3ba9e2

2101062114 has 12 divisors (see below), whose sum is σ = 4552301286. Its totient is φ = 700354032.

The previous prime is 2101062059. The next prime is 2101062127. The reversal of 2101062114 is 4112601012.

2101062114 is a `hidden beast` number, since 21 + 0 + 10 + 621 + 14 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1264869225 + 836192889 = 35565^2 + 28917^2 .

It is a super-2 number, since 2×21010621142 = 8828924013772297992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 116725673 = 2101062114 / (2 + 1 + 0 + 1 + 0 + 6 + 2 + 1 + 1 + 4).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58362819 + ... + 58362854.

Almost surely, 22101062114 is an apocalyptic number.

2101062114 is an abundant number, since it is smaller than the sum of its proper divisors (2451239172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101062114 is a wasteful number, since it uses less digits than its factorization.

2101062114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116725681 (or 116725678 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2101062114 is about 45837.3440984532. The cubic root of 2101062114 is about 1280.7950208322.

Adding to 2101062114 its reverse (4112601012), we get a palindrome (6213663126).

The spelling of 2101062114 in words is "two billion, one hundred one million, sixty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 116725673 233451346 350177019 700354038 1050531057 2101062114