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2140211310 = 235292460013
BaseRepresentation
bin111111110010001…
…0000100001101110
312112011011222222120
41333210100201232
513340343230220
6552212053410
7104015332056
oct17744204156
95464158876
102140211310
119a9103486
124b8904266
13281529933
14164356566
15c7d5ba40
hex7f91086e

2140211310 has 32 divisors (see below), whose sum is σ = 5313630240. Its totient is φ = 551042688.

The previous prime is 2140211309. The next prime is 2140211323. The reversal of 2140211310 is 131120412.

2140211310 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21402113102 = 9161008902903832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2140211310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229137 + ... + 1230876.

It is an arithmetic number, because the mean of its divisors is an integer number (166050945).

Almost surely, 22140211310 is an apocalyptic number.

2140211310 is an abundant number, since it is smaller than the sum of its proper divisors (3173418930).

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

2140211310 is a wasteful number, since it uses less digits than its factorization.

2140211310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460052.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2140211310 is about 46262.4179004946. The cubic root of 2140211310 is about 1288.7011564855.

Adding to 2140211310 its reverse (131120412), we get a palindrome (2271331722).

The spelling of 2140211310 in words is "two billion, one hundred forty million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 2460013 4920026 7380039 12300065 14760078 24600130 36900195 71340377 73800390 142680754 214021131 356701885 428042262 713403770 1070105655 2140211310