Search a number
-
+
2132011102014 = 23210727719132089
BaseRepresentation
bin11111000001100101110…
…000111010111100111110
321112211002112000122220200
4133001211300322330332
5234412324320231024
64311233221024330
7310014136233423
oct37014560727476
97484075018820
102132011102014
117521a975a6a2
122a52462550a6
13126080c9c5a1
14752930a3d4a
153a6d26982c9
hex1f065c3af3e

2132011102014 has 96 divisors (see below), whose sum is σ = 4684048443360. Its totient is φ = 700784649216.

The previous prime is 2132011101991. The next prime is 2132011102031. The reversal of 2132011102014 is 4102011102312.

It is a super-2 number, since 2×21320111020142 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1020588282 + ... + 1020590370.

It is an arithmetic number, because the mean of its divisors is an integer number (48792171285).

Almost surely, 22132011102014 is an apocalyptic number.

2132011102014 is an abundant number, since it is smaller than the sum of its proper divisors (2552037341346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2132011102014 is a wasteful number, since it uses less digits than its factorization.

2132011102014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2132011102014 its reverse (4102011102312), we get a palindrome (6234022204326).

The spelling of 2132011102014 in words is "two trillion, one hundred thirty-two billion, eleven million, one hundred two thousand, fourteen".

Divisors: 1 2 3 6 9 18 107 214 277 321 554 642 831 963 1662 1913 1926 2089 2493 3826 4178 4986 5739 6267 11478 12534 17217 18801 29639 34434 37602 59278 88917 177834 204691 223523 266751 409382 447046 529901 533502 578653 614073 670569 1059802 1157306 1228146 1341138 1589703 1735959 1842219 2011707 3179406 3471918 3684438 3996257 4023414 4769109 5207877 7992514 9538218 10415754 11988771 23977542 35966313 56699407 61915871 71932626 113398814 123831742 170098221 185747613 340196442 371495226 427599499 510294663 557242839 855198998 1020589326 1106963189 1114485678 1282798497 2213926378 2565596994 3320889567 3848395491 6641779134 7696790982 9962668701 19925337402 118445061223 236890122446 355335183669 710670367338 1066005551007 2132011102014