Search a number
-
+
21021222022002 = 2325961431752881
BaseRepresentation
bin1001100011110011000100…
…11110001010101101110010
32202102121110002212100102200
410301321202132022231302
510223402430314201002
6112413003250124030
74266506323003116
oct461714236125562
982377402770380
1021021222022002
11677506089a194
122436078880616
13b963a618c237
1452960adad746
15266c247a3b1c
hex131e6278ab72

21021222022002 has 96 divisors (see below), whose sum is σ = 47186548081920. Its totient is φ = 6759657792000.

The previous prime is 21021222021967. The next prime is 21021222022007. The reversal of 21021222022002 is 20022022212012.

21021222022002 is a `hidden beast` number, since 2 + 10 + 212 + 220 + 220 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21021222022007) 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 47 ways as a sum of consecutive naturals, for example, 27544602 + ... + 28297482.

It is an arithmetic number, because the mean of its divisors is an integer number (491526542520).

Almost surely, 221021222022002 is an apocalyptic number.

21021222022002 is an abundant number, since it is smaller than the sum of its proper divisors (26165326059918).

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

21021222022002 is a wasteful number, since it uses less digits than its factorization.

21021222022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753440 (or 753437 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21021222022002 its reverse (20022022212012), we get a palindrome (41043244234014).

It can be divided in two parts, 210 and 21222022002, that added together give a palindrome (21222022212).

The spelling of 21021222022002 in words is "twenty-one trillion, twenty-one billion, two hundred twenty-two million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 59 61 118 122 177 183 354 366 431 531 549 862 1062 1098 1293 2586 3599 3879 7198 7758 10797 21594 25429 26291 32391 50858 52582 64782 76287 78873 152574 157746 228861 236619 457722 473238 752881 1505762 1551169 2258643 3102338 4517286 4653507 6775929 9307014 13551858 13960521 27921042 44419979 45925741 88839958 91851482 133259937 137777223 266519874 275554446 324491711 399779811 413331669 648983422 799559622 826663338 973475133 1946950266 2709618719 2920425399 5419237438 5840850798 8128856157 16257712314 19145010949 19793994371 24386568471 38290021898 39587988742 48773136942 57435032847 59381983113 114870065694 118763966226 172305098541 178145949339 344610197082 356291898678 1167845667889 2335691335778 3503537003667 7007074007334 10510611011001 21021222022002