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11332211220 = 223251117336667
BaseRepresentation
bin10101000110111001…
…11101001000010100
31002020202112222100200
422203130331020110
5141202021224340
65112252340500
7550552130451
oct124334751024
932222488320
1011332211220
114895813020
122243174730
1310b79c2a35
1479706a828
15464d12330
hex2a373d214

11332211220 has 144 divisors (see below), whose sum is σ = 39705277248. Its totient is φ = 2585594880.

The previous prime is 11332211213. The next prime is 11332211221. The reversal of 11332211220 is 2211223311.

11332211220 is a `hidden beast` number, since 113 + 322 + 11 + 220 = 666.

It is a super-2 number, since 2×113322112202 (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 = 11332211193 and 11332211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332211221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134674 + ... + 201993.

It is an arithmetic number, because the mean of its divisors is an integer number (275731092).

Almost surely, 211332211220 is an apocalyptic number.

11332211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332211220 is an abundant number, since it is smaller than the sum of its proper divisors (28373066028).

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

11332211220 is a wasteful number, since it uses less digits than its factorization.

11332211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336710 (or 336705 counting only the distinct ones).

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

Adding to 11332211220 its reverse (2211223311), we get a palindrome (13543434531).

The spelling of 11332211220 in words is "eleven billion, three hundred thirty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 336667 673334 1010001 1346668 1683335 2020002 3030003 3366670 3703337 4040004 5050005 5723339 6060006 6733340 7406674 10100010 11110011 11446678 12120012 14813348 15150015 17170017 18516685 20200020 22220022 22893356 28616695 30300030 33330033 34340034 37033370 44440044 51510051 55550055 57233390 60600060 62956729 66660066 68680068 74066740 85850085 103020102 111100110 114466780 125913458 133320132 166650165 171700170 188870187 206040204 222200220 251826916 257550255 314783645 333300330 343400340 377740374 515100510 566610561 629567290 666600660 755480748 944350935 1030201020 1133221122 1259134580 1888701870 2266442244 2833052805 3777403740 5666105610 11332211220