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11012333220 = 223257109181443
BaseRepresentation
bin10100100000110001…
…01101111010100100
31001102110122111020100
422100120231322210
5140023124130340
65020424304100
7536616200520
oct122030557244
931373574210
1011012333220
1147411a1a39
122174012030
131066655205
147667a0d80
15446bc8830
hex29062dea4

11012333220 has 288 divisors, whose sum is σ = 38826627840. Its totient is φ = 2474634240.

The previous prime is 11012333173. The next prime is 11012333237. The reversal of 11012333220 is 2233321011.

11012333220 is a `hidden beast` number, since 110 + 1 + 2 + 333 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11012333193 and 11012333202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24858319 + ... + 24858761.

It is an arithmetic number, because the mean of its divisors is an integer number (134814680).

Almost surely, 211012333220 is an apocalyptic number.

11012333220 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 11012333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413313920).

11012333220 is an abundant number, since it is smaller than the sum of its proper divisors (27814294620).

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

11012333220 is a wasteful number, since it uses less digits than its factorization.

11012333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11012333220 its reverse (2233321011), we get a palindrome (13245654231).

The spelling of 11012333220 in words is "eleven billion, twelve million, three hundred thirty-three thousand, two hundred twenty".