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2122110102 = 2371713032281
BaseRepresentation
bin111111001111100…
…1101010010010110
312110220010100210110
41332133031102112
513321230010402
6550324103450
7103405431630
oct17637152226
95426110713
102122110102
1199996a802
124b2834b86
1327a85c868
14161ba3a50
15c648356c
hex7e7cd496

2122110102 has 64 divisors (see below), whose sum is σ = 5142057984. Its totient is φ = 569963520.

The previous prime is 2122110083. The next prime is 2122110121. The reversal of 2122110102 is 2010112212.

It is an interprime number because it is at equal distance from previous prime (2122110083) and next prime (2122110121).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 929202 + ... + 931482.

It is an arithmetic number, because the mean of its divisors is an integer number (80344656).

Almost surely, 22122110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571028992).

2122110102 is an abundant number, since it is smaller than the sum of its proper divisors (3019947882).

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

2122110102 is a wasteful number, since it uses less digits than its factorization.

2122110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2122110102 is about 46066.3662773612. The cubic root of 2122110102 is about 1285.0577276775.

Adding to 2122110102 its reverse (2010112212), we get a palindrome (4132222314).

It can be divided in two parts, 2122110 and 102, that added together give a palindrome (2122212).

The spelling of 2122110102 in words is "two billion, one hundred twenty-two million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1303 2281 2606 3909 4562 6843 7818 9121 13686 15967 18242 22151 27363 31934 38777 44302 47901 54726 66453 77554 95802 116331 132906 155057 232662 271439 310114 465171 542878 814317 930342 1628634 2972143 5944286 8916429 17832858 20805001 41610002 50526431 62415003 101052862 124830006 151579293 303158586 353685017 707370034 1061055051 2122110102