Search a number
-
+
11213000000 = 265611213
BaseRepresentation
bin10100111000101100…
…01100110101000000
31001221110020102022022
422130112030311000
5140431012000000
65052353301012
7544603633046
oct123426146500
931843212268
1011213000000
11483449a954
12220b264768
1310990b3b57
147852b8396
15459615585
hex29c58cd40

11213000000 has 98 divisors (see below), whose sum is σ = 27815620518. Its totient is φ = 4484800000.

The previous prime is 11212999991. The next prime is 11213000027. The reversal of 11213000000 is 31211.

It can be written as a sum of positive squares in 7 ways, for example, as 10067312896 + 1145687104 = 100336^2 + 33848^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 994394 + ... + 1005606.

Almost surely, 211213000000 is an apocalyptic number.

11213000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907810259).

11213000000 is an abundant number, since it is smaller than the sum of its proper divisors (16602620518).

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

11213000000 is an frugal number, since it uses more digits than its factorization.

11213000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11255 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11213000000 its reverse (31211), we get a palindrome (11213031211).

The spelling of 11213000000 in words is "eleven billion, two hundred thirteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 11213 12500 15625 20000 22426 25000 31250 40000 44852 50000 56065 62500 89704 100000 112130 125000 179408 200000 224260 250000 280325 358816 448520 500000 560650 717632 897040 1000000 1121300 1401625 1794080 2242600 2803250 3588160 4485200 5606500 7008125 8970400 11213000 14016250 17940800 22426000 28032500 35040625 44852000 56065000 70081250 89704000 112130000 140162500 175203125 224260000 280325000 350406250 448520000 560650000 700812500 1121300000 1401625000 2242600000 2803250000 5606500000 11213000000