Search a number
-
+
21013221011112 = 23331114935923609
BaseRepresentation
bin1001100011100100001011…
…00100101110111010101000
32202101211210111112212212000
410301302011210232322220
510223240034034323422
6112405201312451000
74266104130352551
oct461620544567250
982354714485760
1021013221011112
1167717254a12a0
122434605249a60
13b956cc683c75
1452908c521328
15266907158cac
hex131c8592eea8

21013221011112 has 128 divisors (see below), whose sum is σ = 63719088048000. Its totient is φ = 6363376657920.

The previous prime is 21013221011063. The next prime is 21013221011137. The reversal of 21013221011112 is 21111012231012.

It is a happy number.

21013221011112 is a `hidden beast` number, since 210 + 1 + 322 + 10 + 11 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585564 + ... + 6509172.

It is an arithmetic number, because the mean of its divisors is an integer number (497805375375).

Almost surely, 221013221011112 is an apocalyptic number.

21013221011112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21013221011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31859544024000).

21013221011112 is an abundant number, since it is smaller than the sum of its proper divisors (42705867036888).

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

21013221011112 is a wasteful number, since it uses less digits than its factorization.

21013221011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925128 (or 5925118 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 21013221011112 its reverse (21111012231012), we get a palindrome (42124233242124).

The spelling of 21013221011112 in words is "twenty-one trillion, thirteen billion, two hundred twenty-one million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1493 2376 2986 4479 5972 8958 11944 13437 16423 17916 26874 32846 35832 40311 49269 53748 65692 80622 98538 107496 131384 147807 161244 197076 295614 322488 394152 443421 591228 886842 1182456 1773684 3547368 5923609 11847218 17770827 23694436 35541654 47388872 53312481 65159699 71083308 106624962 130319398 142166616 159937443 195479097 213249924 260638796 319874886 390958194 426499848 521277592 586437291 639749772 781916388 1172874582 1279499544 1563832776 1759311873 2345749164 3518623746 4691498328 7037247492 8843948237 14074494984 17687896474 26531844711 35375792948 53063689422 70751585896 79595534133 97283430607 106127378844 159191068266 194566861214 212254757688 238786602399 291850291821 318382136532 389133722428 477573204798 583700583642 636764273064 778267444856 875550875463 955146409596 1167401167284 1751101750926 1910292819192 2334802334568 2626652626389 3502203501852 5253305252778 7004407003704 10506610505556 21013221011112