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2110000128 = 21032329863
BaseRepresentation
bin111110111000100…
…0000110000000000
312110001100010000220
41331301000300000
513310130001003
6545212343040
7103200463605
oct17561006000
95401303026
102110000128
11993049365
124aa774a80
132781ac7b2
141603306ac
15c5390353
hex7dc40c00

2110000128 has 88 divisors (see below), whose sum is σ = 5868634368. Its totient is φ = 672731136.

The previous prime is 2110000127. The next prime is 2110000129. The reversal of 2110000128 is 8210000112.

It is an interprime number because it is at equal distance from previous prime (2110000127) and next prime (2110000129).

It is not an unprimeable number, because it can be changed into a prime (2110000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55725 + ... + 85587.

Almost surely, 22110000128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934317184).

2110000128 is an abundant number, since it is smaller than the sum of its proper divisors (3758634240).

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

2110000128 is a wasteful number, since it uses less digits than its factorization.

2110000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29909 (or 29891 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 2110000128 is about 45934.7377047045. The cubic root of 2110000128 is about 1282.6086383203.

The spelling of 2110000128 in words is "two billion, one hundred ten million, one hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2208 2944 3072 4416 5888 8832 11776 17664 23552 29863 35328 59726 70656 89589 119452 179178 238904 358356 477808 686849 716712 955616 1373698 1433424 1911232 2060547 2747396 2866848 3822464 4121094 5494792 5733696 7644928 8242188 10989584 11467392 15289856 16484376 21979168 22934784 30579712 32968752 43958336 45869568 65937504 87916672 91739136 131875008 175833344 263750016 351666688 527500032 703333376 1055000064 2110000128