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11220324040 = 2354110916271
BaseRepresentation
bin10100111001100100…
…01000111011001000
31001221222000112000001
422130302020323020
5140434400332130
65053214252344
7545023115662
oct123462107310
931858015001
1011220324040
114838642582
1222117b70b4
13109a7796c3
14786263532
1545a0b06ca
hex29cc88ec8

11220324040 has 64 divisors (see below), whose sum is σ = 25889310720. Its totient is φ = 4373952000.

The previous prime is 11220324013. The next prime is 11220324103. The reversal of 11220324040 is 4042302211.

It is a junction number, because it is equal to n+sod(n) for n = 11220323999 and 11220324017.

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, 1786105 + ... + 1792375.

It is an arithmetic number, because the mean of its divisors is an integer number (404520480).

Almost surely, 211220324040 is an apocalyptic number.

11220324040 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 11220324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944655360).

11220324040 is an abundant number, since it is smaller than the sum of its proper divisors (14668986680).

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

11220324040 is a wasteful number, since it uses less digits than its factorization.

11220324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7410 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 11220324040 its reverse (4042302211), we get a palindrome (15262626251).

The spelling of 11220324040 in words is "eleven billion, two hundred twenty million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1091 1640 2182 4364 5455 6271 8728 10910 12542 21820 25084 31355 43640 44731 50168 62710 89462 125420 178924 223655 250840 257111 357848 447310 514222 894620 1028444 1285555 1789240 2056888 2571110 5142220 6841661 10284440 13683322 27366644 34208305 54733288 68416610 136833220 273666440 280508101 561016202 1122032404 1402540505 2244064808 2805081010 5610162020 11220324040