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11133302220 = 22325375932819
BaseRepresentation
bin10100101111001100…
…01011010111001100
31001201220021100111200
422113212023113030
5140300111132340
65040425145500
7542615336025
oct122746132714
931656240450
1011133302220
1147a3505817
1221a862b290
13108572b1c1
1477888dc4c
15452621330
hex29798b5cc

11133302220 has 144 divisors (see below), whose sum is σ = 34754559840. Its totient is φ = 2882746368.

The previous prime is 11133302209. The next prime is 11133302231. The reversal of 11133302220 is 2220333111.

11133302220 is a `hidden beast` number, since 1 + 113 + 330 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (11133302209) and next prime (11133302231).

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 = 11133302193 and 11133302202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3947971 + ... + 3950789.

It is an arithmetic number, because the mean of its divisors is an integer number (241351110).

Almost surely, 211133302220 is an apocalyptic number.

11133302220 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 11133302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377279920).

11133302220 is an abundant number, since it is smaller than the sum of its proper divisors (23621257620).

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

11133302220 is a wasteful number, since it uses less digits than its factorization.

11133302220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3459 counting only the distinct ones).

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

Adding to 11133302220 its reverse (2220333111), we get a palindrome (13353635331).

The spelling of 11133302220 in words is "eleven billion, one hundred thirty-three million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 593 666 740 1110 1186 1332 1665 1779 2220 2372 2819 2965 3330 3558 5337 5638 5930 6660 7116 8457 8895 10674 11276 11860 14095 16914 17790 21348 21941 25371 26685 28190 33828 35580 42285 43882 50742 53370 56380 65823 84570 87764 101484 104303 106740 109705 126855 131646 169140 197469 208606 219410 253710 263292 312909 329115 394938 417212 438820 507420 521515 625818 658230 789876 938727 987345 1043030 1251636 1316460 1564545 1671667 1877454 1974690 2086060 3129090 3343334 3754908 3949380 4693635 5015001 6258180 6686668 8358335 9387270 10030002 15045003 16716670 18774540 20060004 25075005 30090006 33433340 50150010 60180012 61851679 75225015 100300020 123703358 150450030 185555037 247406716 300900060 309258395 371110074 556665111 618516790 742220148 927775185 1113330222 1237033580 1855550370 2226660444 2783325555 3711100740 5566651110 11133302220