Search a number
-
+
2142133401 = 329612111913
BaseRepresentation
bin111111110101110…
…0101110010011001
312112021210122121010
41333223211302121
513341341232101
6552321204133
7104040555612
oct17753456231
95467718533
102142133401
119aa1a6591
124b9490649
13281a50775
141646d6c09
15c80db2d6
hex7fae5c99

2142133401 has 32 divisors (see below), whose sum is σ = 3018913920. Its totient is φ = 1349107200.

The previous prime is 2142133391. The next prime is 2142133417. The reversal of 2142133401 is 1043312412.

It is not a de Polignac number, because 2142133401 - 25 = 2142133369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2142132401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118821 + ... + 1120733.

It is an arithmetic number, because the mean of its divisors is an integer number (94341060).

Almost surely, 22142133401 is an apocalyptic number.

It is an amenable number.

2142133401 is a deficient number, since it is larger than the sum of its proper divisors (876780519).

2142133401 is a wasteful number, since it uses less digits than its factorization.

2142133401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217.

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

The square root of 2142133401 is about 46283.1870229352. The cubic root of 2142133401 is about 1289.0868286438.

Adding to 2142133401 its reverse (1043312412), we get a palindrome (3185445813).

The spelling of 2142133401 in words is "two billion, one hundred forty-two million, one hundred thirty-three thousand, four hundred one".

Divisors: 1 3 29 61 87 183 211 633 1769 1913 5307 5739 6119 12871 18357 38613 55477 116693 166431 350079 373259 403643 1119777 1210929 3384097 10152291 11705647 24622223 35116941 73866669 714044467 2142133401