Search a number
-
+
2140538103 = 3311107193349
BaseRepresentation
bin111111110010110…
…0000010011110111
312112011210121021000
41333211200103313
513340434204403
6552223054343
7104021162604
oct17745402367
95464717230
102140538103
119a9306a60
124b8a413b3
132816125c2
141643dd6ab
15c7dc37a3
hex7f9604f7

2140538103 has 64 divisors (see below), whose sum is σ = 3519936000. Its totient is φ = 1274849280.

The previous prime is 2140538089. The next prime is 2140538107. The reversal of 2140538103 is 3018350412.

It is a happy number.

2140538103 is a `hidden beast` number, since 21 + 4 + 0 + 538 + 103 = 666.

It is not a de Polignac number, because 2140538103 - 24 = 2140538087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140538107) 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 63 ways as a sum of consecutive naturals, for example, 6133173 + ... + 6133521.

It is an arithmetic number, because the mean of its divisors is an integer number (54999000).

Almost surely, 22140538103 is an apocalyptic number.

2140538103 is a deficient number, since it is larger than the sum of its proper divisors (1379397897).

2140538103 is a wasteful number, since it uses less digits than its factorization.

2140538103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2140538103 is about 46265.9497146660. The cubic root of 2140538103 is about 1288.7667445705.

Adding to 2140538103 its reverse (3018350412), we get a palindrome (5158888515).

The spelling of 2140538103 in words is "two billion, one hundred forty million, five hundred thirty-eight thousand, one hundred three".

Divisors: 1 3 9 11 27 33 99 107 193 297 321 349 579 963 1047 1177 1737 2123 2889 3141 3531 3839 5211 6369 9423 10593 11517 19107 20651 31779 34551 37343 57321 61953 67357 103653 112029 185859 202071 227161 336087 410773 557577 606213 681483 740927 1008261 1232319 1818639 2044449 2222781 3696957 6133347 6668343 7207199 11090871 20005029 21621597 64864791 79279189 194594373 237837567 713512701 2140538103