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21122123220 = 22335113555913
BaseRepresentation
bin10011101010111110…
…100000010111010100
32000112001000000221000
4103222332200113110
5321224230420340
613411532223300
71345266041112
oct235276402724
960461000830
1021122123220
118a59984890
12411590ab30
131cb8003283
141045342ab2
15839521d30
hex4eafa05d4

21122123220 has 96 divisors (see below), whose sum is σ = 71687226240. Its totient is φ = 5120513280.

The previous prime is 21122123213. The next prime is 21122123221. The reversal of 21122123220 is 2232122112.

21122123220 is a `hidden beast` number, since 211 + 221 + 232 + 2 + 0 = 666.

It is a super-2 number, since 2×211221232202 (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 = 21122123193 and 21122123202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122123221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772017 + ... + 1783896.

It is an arithmetic number, because the mean of its divisors is an integer number (746741940).

Almost surely, 221122123220 is an apocalyptic number.

21122123220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122123220 is an abundant number, since it is smaller than the sum of its proper divisors (50565103020).

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

21122123220 is a wasteful number, since it uses less digits than its factorization.

21122123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555942 (or 3555934 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21122123220 its reverse (2232122112), we get a palindrome (23354245332).

The spelling of 21122123220 in words is "twenty-one billion, one hundred twenty-two million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 3555913 7111826 10667739 14223652 17779565 21335478 32003217 35559130 39115043 42670956 53338695 64006434 71118260 78230086 96009651 106677390 117345129 128012868 156460172 160016085 192019302 195575215 213354780 234690258 320032170 352035387 384038604 391150430 469380516 480048255 586725645 640064340 704070774 782300860 960096510 1056106161 1173451290 1408141548 1760176935 1920193020 2112212322 2346902580 3520353870 4224424644 5280530805 7040707740 10561061610 21122123220