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21211110122220 = 22325122963958333
BaseRepresentation
bin1001101001010100110001…
…01011110010001011101100
32210002202120201211022011100
410310222120223302023230
510240010323142402340
6113040125515123100
74316311040141544
oct464523053621354
983082521738140
1021211110122220
116838643767417
122466a31a43490
13bab278571c55
145348a2120324
1526bb3a114830
hex134a98af22ec

21211110122220 has 72 divisors (see below), whose sum is σ = 64340957758896. Its totient is φ = 5656244130432.

The previous prime is 21211110122117. The next prime is 21211110122317. The reversal of 21211110122220 is 2222101111212.

21211110122220 is a `hidden beast` number, since 2 + 1 + 211 + 110 + 122 + 220 = 666.

It is a super-2 number, since 2×212111101222202 (a number of 27 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 = 21211110122193 and 21211110122202.

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, 21654174 + ... + 22612506.

It is an arithmetic number, because the mean of its divisors is an integer number (893624413318).

Almost surely, 221211110122220 is an apocalyptic number.

21211110122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211110122220 is an abundant number, since it is smaller than the sum of its proper divisors (43129847636676).

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

21211110122220 is a wasteful number, since it uses less digits than its factorization.

21211110122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081311 (or 1081306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21211110122220 its reverse (2222101111212), we get a palindrome (23433211233432).

The spelling of 21211110122220 in words is "twenty-one trillion, two hundred eleven billion, one hundred ten million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122963 245926 368889 491852 614815 737778 958333 1106667 1229630 1475556 1844445 1916666 2213334 2459260 2874999 3688890 3833332 4426668 4791665 5533335 5749998 7377780 8624997 9583330 11066670 11499996 14374995 17249994 19166660 22133340 28749990 34499988 43124985 57499980 86249970 172499940 117839500679 235679001358 353518502037 471358002716 589197503395 707037004074 1060555506111 1178395006790 1414074008148 1767592510185 2121111012222 2356790013580 3535185020370 4242222024444 5302777530555 7070370040740 10605555061110 21211110122220