Search a number
-
+
21112022021112 = 23321147567161563
BaseRepresentation
bin1001100110011100001101…
…00100101011001111111000
32202202021211010002020000200
410303032012210223033320
510231344410114133422
6112522421245202200
74306202405160441
oct463160644531770
982667733066020
1021112022021112
1167aa616050470
12244b799560360
13ba1b16963b69
1452db822362c8
1526928aea72ac
hex13338692b3f8

21112022021112 has 96 divisors (see below), whose sum is σ = 63703586868480. Its totient is φ = 6261463644480.

The previous prime is 21112022021087. The next prime is 21112022021119.

21112022021112 is a `hidden beast` number, since 211 + 1 + 20 + 220 + 211 + 1 + 2 = 666.

21112022021112 is nontrivially palindromic in base 10.

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 (21112022021119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 283543558 + ... + 283618005.

It is an arithmetic number, because the mean of its divisors is an integer number (663579029880).

Almost surely, 221112022021112 is an apocalyptic number.

21112022021112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21112022021112 is an abundant number, since it is smaller than the sum of its proper divisors (42591564847368).

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

21112022021112 is a wasteful number, since it uses less digits than its factorization.

21112022021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567161633 (or 567161626 counting only the distinct ones).

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

It can be divided in two parts, 2111202 and 2021112, that added together give a palindrome (4132314).

The spelling of 21112022021112 in words is "twenty-one trillion, one hundred twelve billion, twenty-two million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 66 72 88 94 99 132 141 188 198 264 282 376 396 423 517 564 792 846 1034 1128 1551 1692 2068 3102 3384 4136 4653 6204 9306 12408 18612 37224 567161563 1134323126 1701484689 2268646252 3402969378 4537292504 5104454067 6238777193 6805938756 10208908134 12477554386 13611877512 18716331579 20417816268 24955108772 26656593461 37432663158 40835632536 49910217544 53313186922 56148994737 74865326316 79969780383 106626373844 112297989474 149730652632 159939560766 213252747688 224595978948 239909341149 293222528071 319879121532 449191957896 479818682298 586445056142 639758243064 879667584213 959637364596 1172890112284 1759335168426 1919274729192 2345780224568 2639002752639 3518670336852 5278005505278 7037340673704 10556011010556 21112022021112