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21121002216 = 23322575711999
BaseRepresentation
bin10011101010111010…
…001110101011101000
32000111221220002012100
4103222322032223220
5321223434032331
613411452213400
71345253361636
oct235272165350
960457802170
1021121002216
118a59289636
12411546a260
131cb79ccc62
141045130356
1583939eae6
hex4eae8eae8

21121002216 has 96 divisors (see below), whose sum is σ = 57554640000. Its totient is φ = 6997155840.

The previous prime is 21121002211. The next prime is 21121002233. The reversal of 21121002216 is 61220012112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21121002211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10564785 + ... + 10566783.

It is an arithmetic number, because the mean of its divisors is an integer number (599527500).

Almost surely, 221121002216 is an apocalyptic number.

It is an amenable number.

21121002216 is an abundant number, since it is smaller than the sum of its proper divisors (36433637784).

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

21121002216 is a wasteful number, since it uses less digits than its factorization.

21121002216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21121002216 its reverse (61220012112), we get a palindrome (82341014328).

The spelling of 21121002216 in words is "twenty-one billion, one hundred twenty-one million, two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 571 771 1028 1142 1542 1713 1999 2056 2284 2313 3084 3426 3998 4568 4626 5139 5997 6168 6852 7996 9252 10278 11994 13704 15992 17991 18504 20556 23988 35982 41112 47976 71964 143928 146747 293494 440241 513743 586988 880482 1027486 1141429 1173976 1320723 1541229 1760964 2054972 2282858 2641446 3082458 3424287 3521928 4109944 4565716 4623687 5282892 6164916 6848574 9131432 9247374 10272861 10565784 12329832 13697148 18494748 20545722 27394296 36989496 41091444 82182888 293347253 586694506 880041759 1173389012 1760083518 2346778024 2640125277 3520167036 5280250554 7040334072 10560501108 21121002216