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2002014157 = 1113127110237
BaseRepresentation
bin111011101010100…
…0100111111001101
312011112010212010111
41313111010333031
513100003423112
6530354040021
7100416560653
oct16725047715
95145125114
102002014157
119380a2960
1247a579011
1325ba01080
1414dc60dd3
15bab5e5a7
hex77544fcd

2002014157 has 16 divisors (see below), whose sum is σ = 2370557952. Its totient is φ = 1666768320.

The previous prime is 2002014151. The next prime is 2002014169. The reversal of 2002014157 is 7514102002.

It is a happy number.

It is not a de Polignac number, because 2002014157 - 227 = 1867796429 is a prime.

It is a Duffinian number.

2002014157 is a modest number, since divided by 14157 gives 2002 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002014151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36958 + ... + 73279.

It is an arithmetic number, because the mean of its divisors is an integer number (148159872).

Almost surely, 22002014157 is an apocalyptic number.

It is an amenable number.

2002014157 is a deficient number, since it is larger than the sum of its proper divisors (368543795).

2002014157 is a wasteful number, since it uses less digits than its factorization.

2002014157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110388.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 2002014157 is about 44743.8728431056. The cubic root of 2002014157 is about 1260.3438544612.

Adding to 2002014157 its reverse (7514102002), we get a palindrome (9516116159).

The spelling of 2002014157 in words is "two billion, two million, fourteen thousand, one hundred fifty-seven".

Divisors: 1 11 13 127 143 1397 1651 18161 110237 1212607 1433081 14000099 15763891 154001089 182001287 2002014157