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2140204101 = 37911111871
BaseRepresentation
bin111111110010000…
…1110110001000101
312112011011122002120
41333210032301011
513340343012401
6552212000153
7104015302050
oct17744166105
95464148076
102140204101
119a90a9022
124b8900059
13281526579
14164353a97
15c7d59836
hex7f90ec45

2140204101 has 16 divisors (see below), whose sum is σ = 3264872448. Its totient is φ = 1221620400.

The previous prime is 2140204063. The next prime is 2140204109. The reversal of 2140204101 is 1014020412.

It is not a de Polignac number, because 2140204101 - 26 = 2140204037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140204109) 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 15 ways as a sum of consecutive naturals, for example, 36805 + ... + 75066.

It is an arithmetic number, because the mean of its divisors is an integer number (204054528).

Almost surely, 22140204101 is an apocalyptic number.

2140204101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2140204101 is a deficient number, since it is larger than the sum of its proper divisors (1124668347).

2140204101 is a wasteful number, since it uses less digits than its factorization.

2140204101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112792.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2140204101 is about 46262.3399862134. The cubic root of 2140204101 is about 1288.6997095478.

Adding to 2140204101 its reverse (1014020412), we get a palindrome (3154224513).

The spelling of 2140204101 in words is "two billion, one hundred forty million, two hundred four thousand, one hundred one".

Divisors: 1 3 7 21 911 2733 6377 19131 111871 335613 783097 2349291 101914481 305743443 713401367 2140204101