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2100110430 = 2351121130161
BaseRepresentation
bin111110100101101…
…0010010001011110
312102100201122220210
41331023102101132
513300112013210
6544220353250
7103020433635
oct17513222136
95370648823
102100110430
11988504060
124a73a5826
132761291c2
1415ccb851c
15c4589e20
hex7d2d245e

2100110430 has 64 divisors (see below), whose sum is σ = 5524713216. Its totient is φ = 506688000.

The previous prime is 2100110399. The next prime is 2100110437. The reversal of 2100110430 is 340110012.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100110437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54550 + ... + 84710.

It is an arithmetic number, because the mean of its divisors is an integer number (86323644).

Almost surely, 22100110430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100110430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762356608).

2100110430 is an abundant number, since it is smaller than the sum of its proper divisors (3424602786).

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

2100110430 is a wasteful number, since it uses less digits than its factorization.

2100110430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30393.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2100110430 is about 45826.9618237998. The cubic root of 2100110430 is about 1280.6016113174.

Adding to 2100110430 its reverse (340110012), we get a palindrome (2440220442).

The spelling of 2100110430 in words is "two billion, one hundred million, one hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 211 330 422 633 1055 1266 2110 2321 3165 4642 6330 6963 11605 13926 23210 30161 34815 60322 69630 90483 150805 180966 301610 331771 452415 663542 904830 995313 1658855 1990626 3317710 4976565 6363971 9953130 12727942 19091913 31819855 38183826 63639710 70003681 95459565 140007362 190919130 210011043 350018405 420022086 700036810 1050055215 2100110430