Search a number
-
+
20112022221012 = 22322507322281629
BaseRepresentation
bin1001001001010101100011…
…11100001011000011010100
32122012200122102000221202100
410210222301330023003110
510114003410142033022
6110435200243042100
74144021442133261
oct444526174130324
978180572027670
1020112022221012
116454508251787
122309a17670330
13b2b72b738307
144d75d9c42268
1524d25e7801ac
hex124ab1f0b0d4

20112022221012 has 36 divisors (see below), whose sum is σ = 50840752746420. Its totient is φ = 6703739726592.

The previous prime is 20112022220977. The next prime is 20112022221013. The reversal of 20112022221012 is 21012222021102.

It is a happy number.

20112022221012 is a `hidden beast` number, since 201 + 1 + 20 + 222 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10411812306756 + 9700209914256 = 3226734^2 + 3114516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×201120222210122 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112022221013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10238187 + ... + 12043442.

It is an arithmetic number, because the mean of its divisors is an integer number (1412243131845).

Almost surely, 220112022221012 is an apocalyptic number.

It is an amenable number.

20112022221012 is an abundant number, since it is smaller than the sum of its proper divisors (30728730525408).

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

20112022221012 is a wasteful number, since it uses less digits than its factorization.

20112022221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22306712 (or 22306707 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20112022221012 its reverse (21012222021102), we get a palindrome (41124244242114).

The spelling of 20112022221012 in words is "twenty trillion, one hundred twelve billion, twenty-two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 25073 50146 75219 100292 150438 225657 300876 451314 902628 22281629 44563258 66844887 89126516 133689774 200534661 267379548 401069322 802138644 558667283917 1117334567834 1676001851751 2234669135668 3352003703502 5028005555253 6704007407004 10056011110506 20112022221012