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21221010112212 = 223210116493353869
BaseRepresentation
bin1001101001100111001101…
…10001001111111011010100
32210010201010200101220100100
410310303212301033323110
510240141112042042322
6113044444130214100
74320111261520251
oct464634661177324
983121120356310
1021221010112212
116841863a83429
122468935424330
13bac1956141b1
14535160c8c428
1526c019319dac
hex134ce6c4fed4

21221010112212 has 72 divisors (see below), whose sum is σ = 54176544381960. Its totient is φ = 7003189267200.

The previous prime is 21221010112201. The next prime is 21221010112219. The reversal of 21221010112212 is 21221101012212.

21221010112212 is a `hidden beast` number, since 212 + 210 + 10 + 11 + 221 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3759426277776 + 17461583834436 = 1938924^2 + 4178706^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221010112219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59791614 + ... + 60145482.

It is an arithmetic number, because the mean of its divisors is an integer number (752452005305).

Almost surely, 221221010112212 is an apocalyptic number.

It is an amenable number.

21221010112212 is an abundant number, since it is smaller than the sum of its proper divisors (32955534269748).

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

21221010112212 is a wasteful number, since it uses less digits than its factorization.

21221010112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370473 (or 370468 counting only the distinct ones).

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

Adding to 21221010112212 its reverse (21221101012212), we get a palindrome (42442111124424).

The spelling of 21221010112212 in words is "twenty-one trillion, two hundred twenty-one billion, ten million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 16493 32986 49479 65972 98958 148437 197916 296874 353869 593748 707738 1061607 1415476 1665793 2123214 3184821 3331586 4246428 4997379 6369642 6663172 9994758 12739284 14992137 19989516 29984274 35740769 59968548 71481538 107222307 142963076 214444614 321666921 428889228 643333842 1286667684 5836361417 11672722834 17509084251 23345445668 35018168502 52527252753 70036337004 105054505506 210109011012 589472503117 1178945006234 1768417509351 2357890012468 3536835018702 5305252528053 7073670037404 10610505056106 21221010112212