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11023300000 = 2555110233
BaseRepresentation
bin10100100010000101…
…00011010110100000
31001110020021122211101
422101002203112200
5140033431100000
65021455324144
7540111334606
oct122102432640
931406248741
1011023300000
114747402499
122177820654
1310689c4b2b
14768017876
15447b42e6a
hex2910a35a0

11023300000 has 72 divisors (see below), whose sum is σ = 27126162252. Its totient is φ = 4409280000.

The previous prime is 11023299983. The next prime is 11023300019. The reversal of 11023300000 is 332011.

It can be written as a sum of positive squares in 6 ways, for example, as 9217296 + 11014082704 = 3036^2 + 104948^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11023300000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44884 + ... + 155116.

Almost surely, 211023300000 is an apocalyptic number.

11023300000 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 11023300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13563081126).

11023300000 is an abundant number, since it is smaller than the sum of its proper divisors (16102862252).

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

11023300000 is an frugal number, since it uses more digits than its factorization.

11023300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110268 (or 110240 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 11023300000 its reverse (332011), we get a palindrome (11023632011).

The spelling of 11023300000 in words is "eleven billion, twenty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 110233 220466 440932 551165 881864 1102330 1763728 2204660 2755825 3527456 4409320 5511650 8818640 11023300 13779125 17637280 22046600 27558250 44093200 55116500 68895625 88186400 110233000 137791250 220466000 275582500 344478125 440932000 551165000 688956250 1102330000 1377912500 2204660000 2755825000 5511650000 11023300000