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11133311220 = 22335179711249
BaseRepresentation
bin10100101111001100…
…01101100011110100
31001201220021210212000
422113212031203310
5140300111424340
65040425255300
7542615404203
oct122746154364
931656253760
1011133311220
1147a3511559
1221a8634530
131085732325
1477889323a
15452623d30
hex29798d8f4

11133311220 has 192 divisors, whose sum is σ = 36741600000. Its totient is φ = 2789130240.

The previous prime is 11133311219. The next prime is 11133311227. The reversal of 11133311220 is 2211333111.

11133311220 is a `hidden beast` number, since 1 + 1 + 133 + 311 + 220 = 666.

It is a super-6 number, since 6×111333112206 (a number of 62 digits) contains 666666 as substring.

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 = 11133311193 and 11133311202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133311227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8913156 + ... + 8914404.

It is an arithmetic number, because the mean of its divisors is an integer number (191362500).

Almost surely, 211133311220 is an apocalyptic number.

11133311220 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 11133311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370800000).

11133311220 is an abundant number, since it is smaller than the sum of its proper divisors (25608288780).

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

11133311220 is a wasteful number, since it uses less digits than its factorization.

11133311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11133311220 its reverse (2211333111), we get a palindrome (13344644331).

The spelling of 11133311220 in words is "eleven billion, one hundred thirty-three million, three hundred eleven thousand, two hundred twenty".