Search a number
-
+
11211341000 = 235311211341
BaseRepresentation
bin10100111000011111…
…10111110011001000
31001221100010010120212
422130033313303020
5140430100403000
65052253540252
7544553553236
oct123417676310
931840103525
1011211341000
114833567482
12220a7a4688
1310989529b2
14784da5956
154593d8c35
hex29c3f7cc8

11211341000 has 32 divisors (see below), whose sum is σ = 26234540280. Its totient is φ = 4484536000.

The previous prime is 11211340997. The next prime is 11211341081. The reversal of 11211341000 is 14311211.

It can be written as a sum of positive squares in 4 ways, for example, as 7181884516 + 4029456484 = 84746^2 + 63478^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5604671 + ... + 5606670.

Almost surely, 211211341000 is an apocalyptic number.

11211341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211341000 is an abundant number, since it is smaller than the sum of its proper divisors (15023199280).

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

11211341000 is a wasteful number, since it uses less digits than its factorization.

11211341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11211362 (or 11211348 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11211341000 its reverse (14311211), we get a palindrome (11225652211).

The spelling of 11211341000 in words is "eleven billion, two hundred eleven million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 11211341 22422682 44845364 56056705 89690728 112113410 224226820 280283525 448453640 560567050 1121134100 1401417625 2242268200 2802835250 5605670500 11211341000