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21121212216 = 23313173982129
BaseRepresentation
bin10011101010111011…
…000001111100111000
32000111222021202021010
4103222323001330320
5321224012242331
613411500513520
71345255225116
oct235273017470
960458252233
1021121212216
118a59412395
12411554b8a0
131cb7a74710
141045186ab6
158393e1e46
hex4eaec1f38

21121212216 has 64 divisors (see below), whose sum is σ = 60209805600. Its totient is φ = 6116548608.

The previous prime is 21121212209. The next prime is 21121212253. The reversal of 21121212216 is 61221212112.

It is a super-2 number, since 2×211212122162 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21121212192 and 21121212201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1985761 + ... + 1996368.

Almost surely, 221121212216 is an apocalyptic number.

21121212216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21121212216 is an abundant number, since it is smaller than the sum of its proper divisors (39088593384).

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

21121212216 is a wasteful number, since it uses less digits than its factorization.

21121212216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982168 (or 3982164 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

Adding to 21121212216 its reverse (61221212112), we get a palindrome (82342424328).

The spelling of 21121212216 in words is "twenty-one billion, one hundred twenty-one million, two hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 3982129 7964258 11946387 15928516 23892774 31857032 47785548 51767677 67696193 95571096 103535354 135392386 155303031 203088579 207070708 270784772 310606062 406177158 414141416 541569544 621212124 812354316 880050509 1242424248 1624708632 1760101018 2640151527 3520202036 5280303054 7040404072 10560606108 21121212216