Search a number
-
+
2121234132 = 2231992513539
BaseRepresentation
bin111111001101111…
…0111011011010100
312110211110212012010
41332123313123110
513321013443012
6550253224220
7103365123033
oct17633673324
95424425163
102121234132
11999421666
124b2492070
1327a613c34
14161a1671a
15c635dc3c
hex7e6f76d4

2121234132 has 48 divisors (see below), whose sum is σ = 4995648000. Its totient is φ = 700524000.

The previous prime is 2121234113. The next prime is 2121234187. The reversal of 2121234132 is 2314321212.

It is a super-3 number, since 3×21212341323 (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2121234099 and 2121234108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597619 + ... + 601157.

It is an arithmetic number, because the mean of its divisors is an integer number (104076000).

Almost surely, 22121234132 is an apocalyptic number.

It is an amenable number.

2121234132 is an abundant number, since it is smaller than the sum of its proper divisors (2874413868).

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

2121234132 is a wasteful number, since it uses less digits than its factorization.

2121234132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3994 counting only the distinct ones).

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

The square root of 2121234132 is about 46056.8576001446. The cubic root of 2121234132 is about 1284.8808868784.

Adding to 2121234132 its reverse (2314321212), we get a palindrome (4435555344).

The spelling of 2121234132 in words is "two billion, one hundred twenty-one million, two hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 199 251 398 502 597 753 796 1004 1194 1506 2388 3012 3539 7078 10617 14156 21234 42468 49949 99898 149847 199796 299694 599388 704261 888289 1408522 1776578 2112783 2664867 2817044 3553156 4225566 5329734 8451132 10659468 176769511 353539022 530308533 707078044 1060617066 2121234132