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21211111200112 = 2417317135430271
BaseRepresentation
bin1001101001010100110001…
…01111111001010101110000
32210002202120210212001202021
410310222120233321111300
510240010323431400422
6113040125554201224
74316311052251231
oct464523057712560
983082523761667
1021211111200112
116838644333239
122466a32283214
13bab27885b762
145348a2321088
1526bb3a278dc7
hex134a98bf9570

21211111200112 has 80 divisors (see below), whose sum is σ = 45550291451904. Its totient is φ = 9523656576000.

The previous prime is 21211111200101. The next prime is 21211111200137. The reversal of 21211111200112 is 21100211111212.

It is a super-2 number, since 2×212111112001122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17116464 + ... + 18313807.

Almost surely, 221211111200112 is an apocalyptic number.

It is an amenable number.

21211111200112 is an abundant number, since it is smaller than the sum of its proper divisors (24339180251792).

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

21211111200112 is a wasteful number, since it uses less digits than its factorization.

21211111200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35430398 (or 35430392 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 21211111200112 its reverse (21100211111212), we get a palindrome (42311322311324).

The spelling of 21211111200112 in words is "twenty-one trillion, two hundred eleven billion, one hundred eleven million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 31 34 62 68 71 124 136 142 248 272 284 496 527 568 1054 1136 1207 2108 2201 2414 4216 4402 4828 8432 8804 9656 17608 19312 35216 37417 74834 149668 299336 598672 35430271 70860542 141721084 283442168 566884336 602314607 1098338401 1204629214 2196676802 2409258428 2515549241 4393353604 4818516856 5031098482 8786707208 9637033712 10062196964 17573414416 18671752817 20124393928 37343505634 40248787856 42764337097 74687011268 77982026471 85528674194 149374022536 155964052942 171057348388 298748045072 311928105884 342114696776 623856211768 684229393552 1247712423536 1325694450007 2651388900014 5302777800028 10605555600056 21211111200112