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11212150320 = 2432572224633
BaseRepresentation
bin10100111000100101…
…11101011000110000
31001221101122020202200
422130102331120300
5140430302302240
65052323143200
7544563463620
oct123422753060
931841566680
1011212150320
114833a6a538
12220ab14b00
131098b77197
14785136880
154594e8930
hex29c4bd630

11212150320 has 120 divisors (see below), whose sum is σ = 43033320096. Its totient is φ = 2562776064.

The previous prime is 11212150303. The next prime is 11212150333. The reversal of 11212150320 is 2305121211.

11212150320 is a `hidden beast` number, since 1 + 121 + 21 + 503 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×112121503202 (a number of 21 digits) contains 22 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 = 11212150293 and 11212150302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1107277 + ... + 1117356.

Almost surely, 211212150320 is an apocalyptic number.

11212150320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212150320 is an abundant number, since it is smaller than the sum of its proper divisors (31821169776).

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

11212150320 is a wasteful number, since it uses less digits than its factorization.

11212150320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224659 (or 2224650 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11212150320 its reverse (2305121211), we get a palindrome (13517271531).

The spelling of 11212150320 in words is "eleven billion, two hundred twelve million, one hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 2224633 4449266 6673899 8898532 11123165 13347798 15572431 17797064 20021697 22246330 26695596 31144862 33369495 35594128 40043394 44492660 46717293 53391192 62289724 66738990 77862155 80086788 88985320 93434586 100108485 106782384 124579448 133477980 140151879 155724310 160173576 177970640 186869172 200216970 233586465 249158896 266955960 280303758 311448620 320347152 373738344 400433940 467172930 533911920 560607516 622897240 700759395 747476688 800867880 934345860 1121215032 1245794480 1401518790 1601735760 1868691720 2242430064 2803037580 3737383440 5606075160 11212150320