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2142014133 = 375316311807
BaseRepresentation
bin111111110101100…
…1000101010110101
312112021120120222210
41333223020222311
513341323423013
6552314444033
7104036551110
oct17753105265
95467516883
102142014133
119aa124a16
124b9433619
13281a0b3ac
141646a5577
15c80b5cc3
hex7fac8ab5

2142014133 has 32 divisors (see below), whose sum is σ = 3346292736. Its totient is φ = 1193444928.

The previous prime is 2142014111. The next prime is 2142014159. The reversal of 2142014133 is 3314102412.

It is not a de Polignac number, because 2142014133 - 213 = 2142005941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142014183) 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 31 ways as a sum of consecutive naturals, for example, 175516 + ... + 187322.

It is an arithmetic number, because the mean of its divisors is an integer number (104571648).

Almost surely, 22142014133 is an apocalyptic number.

It is an amenable number.

2142014133 is a deficient number, since it is larger than the sum of its proper divisors (1204278603).

2142014133 is a wasteful number, since it uses less digits than its factorization.

2142014133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12033.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2142014133 is about 46281.8985457598. The cubic root of 2142014133 is about 1289.0629039493.

Adding to 2142014133 its reverse (3314102412), we get a palindrome (5456116545).

It can be divided in two parts, 21420 and 14133, that added together give a palindrome (35553).

The spelling of 2142014133 in words is "two billion, one hundred forty-two million, fourteen thousand, one hundred thirty-three".

Divisors: 1 3 7 21 53 159 163 371 489 1113 1141 3423 8639 11807 25917 35421 60473 82649 181419 247947 625771 1877313 1924541 4380397 5773623 13141191 13471787 40415361 102000673 306002019 714004711 2142014133