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11331122220 = 22325118964301
BaseRepresentation
bin10101000110110001…
…10011010000101100
31002020200111122112100
422203120303100230
5141201231402340
65112213135100
7550536643515
oct124330632054
932220448470
1011331122220
114895139920
12224292a490
1310b7701162
14796c65a0c
15464b99830
hex2a363342c

11331122220 has 144 divisors (see below), whose sum is σ = 37917603360. Its totient is φ = 2716032000.

The previous prime is 11331122219. The next prime is 11331122249. The reversal of 11331122220 is 2222113311.

11331122220 is a `hidden beast` number, since 113 + 311 + 22 + 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 = 11331122193 and 11331122202.

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, 144070 + ... + 208370.

It is an arithmetic number, because the mean of its divisors is an integer number (263316690).

Almost surely, 211331122220 is an apocalyptic number.

11331122220 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 11331122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18958801680).

11331122220 is an abundant number, since it is smaller than the sum of its proper divisors (26586481140).

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

11331122220 is a wasteful number, since it uses less digits than its factorization.

11331122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64416 (or 64411 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11331122220 its reverse (2222113311), we get a palindrome (13553235531).

It can be divided in two parts, 113311 and 22220, that added together give a palindrome (135531).

The spelling of 11331122220 in words is "eleven billion, three hundred thirty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 89 90 99 110 132 165 178 180 198 220 267 330 356 396 445 495 534 660 801 890 979 990 1068 1335 1602 1780 1958 1980 2670 2937 3204 3916 4005 4895 5340 5874 8010 8811 9790 11748 14685 16020 17622 19580 29370 35244 44055 58740 64301 88110 128602 176220 192903 257204 321505 385806 578709 643010 707311 771612 964515 1157418 1286020 1414622 1929030 2121933 2314836 2829244 2893545 3536555 3858060 4243866 5722789 5787090 6365799 7073110 8487732 10609665 11445578 11574180 12731598 14146220 17168367 21219330 22891156 25463196 28613945 31828995 34336734 42438660 51505101 57227890 62950679 63657990 68673468 85841835 103010202 114455780 125901358 127315980 171683670 188852037 206020404 251802716 257525505 314753395 343367340 377704074 515051010 566556111 629506790 755408148 944260185 1030102020 1133112222 1259013580 1888520370 2266224444 2832780555 3777040740 5665561110 11331122220