Search a number
-
+
10021333212200 = 2352712113344681
BaseRepresentation
bin1001000111010100011000…
…0000011001110000101000
31022111000210221102201101202
42101311012000121300220
52303142142300242300
633151423101503332
72053005656556242
oct221650600316050
938430727381352
1010021333212200
113214029385102
12115a250271b48
13579013ac91cb
1426906c4dd092
15125a27c5ead5
hex91d46019c28

10021333212200 has 96 divisors (see below), whose sum is σ = 23739750112320. Its totient is φ = 3933343680000.

The previous prime is 10021333212179. The next prime is 10021333212217. The reversal of 10021333212200 is 221233312001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1323860 + ... + 4668540.

It is an arithmetic number, because the mean of its divisors is an integer number (247289063670).

Almost surely, 210021333212200 is an apocalyptic number.

10021333212200 is a gapful number since it is divisible by the number (10) 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 10021333212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11869875056160).

10021333212200 is an abundant number, since it is smaller than the sum of its proper divisors (13718416900120).

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

10021333212200 is a wasteful number, since it uses less digits than its factorization.

10021333212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344979 (or 3344970 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10021333212200 its reverse (221233312001), we get a palindrome (10242566524201).

The spelling of 10021333212200 in words is "ten trillion, twenty-one billion, three hundred thirty-three million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 211 284 355 422 568 710 844 1055 1420 1688 1775 2110 2840 3550 4220 5275 7100 8440 10550 14200 14981 21100 29962 42200 59924 74905 119848 149810 299620 374525 599240 749050 1498100 2996200 3344681 6689362 13378724 16723405 26757448 33446810 66893620 83617025 133787240 167234050 237472351 334468100 474944702 668936200 705727691 949889404 1187361755 1411455382 1899778808 2374723510 2822910764 3528638455 4749447020 5645821528 5936808775 7057276910 9498894040 11873617550 14114553820 17643192275 23747235100 28229107640 35286384550 47494470200 50106666061 70572769100 100213332122 141145538200 200426664244 250533330305 400853328488 501066660610 1002133321220 1252666651525 2004266642440 2505333303050 5010666606100 10021333212200