Search a number
-
+
21100022001200 = 24523171095715187
BaseRepresentation
bin1001100110000101110110…
…10100001110111000110000
32202201010211210221001100202
410303002323110032320300
510231200321113014300
6112513114415134332
74305266133531602
oct463027324167060
982633753831322
1021100022001200
1167a551838593a
1224493aa8143a8
13ba09537c326c
1452d364611172
15268cd7730ad5
hex1330bb50ee30

21100022001200 has 120 divisors (see below), whose sum is σ = 50860706922192. Its totient is φ = 8412062376960.

The previous prime is 21100022001199. The next prime is 21100022001203. The reversal of 21100022001200 is 210022000112.

It is a happy number.

It is a super-2 number, since 2×211000220012002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21100022001203) 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, 1389340007 + ... + 1389355193.

Almost surely, 221100022001200 is an apocalyptic number.

21100022001200 is a gapful number since it is divisible by the number (20) 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 21100022001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25430353461096).

21100022001200 is an abundant number, since it is smaller than the sum of its proper divisors (29760684920992).

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

21100022001200 is a wasteful number, since it uses less digits than its factorization.

21100022001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26479 (or 26468 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21100022001200 its reverse (210022000112), we get a palindrome (21310044001312).

The spelling of 21100022001200 in words is "twenty-one trillion, one hundred billion, twenty-two million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 317 400 634 1268 1585 2536 3170 5072 6340 7925 10957 12680 15187 15850 21914 25360 30374 31700 43828 54785 60748 63400 75935 87656 109570 121496 126800 151870 175312 219140 242992 273925 303740 379675 438280 547850 607480 759350 876560 1095700 1214960 1518700 2191400 3037400 3473369 4382800 4814279 6074800 6946738 9628558 13893476 17366845 19257116 24071395 27786952 34733690 38514232 48142790 55573904 69467380 77028464 86834225 96285580 120356975 138934760 166403959 173668450 192571160 240713950 277869520 332807918 347336900 385142320 481427900 665615836 694673800 832019795 962855800 1331231672 1389347600 1664039590 1925711600 2662463344 3328079180 4160098975 6656158360 8320197950 13312316720 16640395900 33280791800 52750055003 66561583600 105500110006 211000220012 263750275015 422000440024 527500550030 844000880048 1055001100060 1318751375075 2110002200120 2637502750150 4220004400240 5275005500300 10550011000600 21100022001200