Search a number
-
+
21122001000200 = 23524711811902643
BaseRepresentation
bin1001100110101110110010…
…10111011101011100001000
32202210020120120021212212202
410303113121113131130020
510232030324224001300
6112531151401255332
74310004606122102
oct463273127353410
982706516255782
1021122001000200
116803876a08121
122451703494548
13ba2a471a1309
1453044b686572
152696720b1ad5
hex1335d95dd708

21122001000200 has 96 divisors (see below), whose sum is σ = 50196010642560. Its totient is φ = 8262032620800.

The previous prime is 21122001000127. The next prime is 21122001000203. The reversal of 21122001000200 is 200010022112.

It is a happy number.

It is a super-2 number, since 2×211220010002002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122001000203) 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, 10150079 + ... + 12052721.

It is an arithmetic number, because the mean of its divisors is an integer number (522875110860).

Almost surely, 221122001000200 is an apocalyptic number.

21122001000200 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 21122001000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25098005321280).

21122001000200 is an abundant number, since it is smaller than the sum of its proper divisors (29074009642360).

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

21122001000200 is a wasteful number, since it uses less digits than its factorization.

21122001000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903887 (or 1903878 counting only the distinct ones).

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

Adding to 21122001000200 its reverse (200010022112), we get a palindrome (21322011022312).

The spelling of 21122001000200 in words is "twenty-one trillion, one hundred twenty-two billion, one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1181 1880 2350 2362 4700 4724 5905 9400 9448 11810 23620 29525 47240 55507 59050 111014 118100 222028 236200 277535 444056 555070 1110140 1387675 1902643 2220280 2775350 3805286 5550700 7610572 9513215 11101400 15221144 19026430 38052860 47566075 76105720 89424221 95132150 178848442 190264300 357696884 380528600 447121105 715393768 894242210 1788484420 2235605525 2247021383 3576968840 4471211050 4494042766 8942422100 8988085532 11235106915 17884844200 17976171064 22470213830 44940427660 56175534575 89880855320 105610005001 112351069150 211220010002 224702138300 422440020004 449404276600 528050025005 844880040008 1056100050010 2112200100020 2640250125025 4224400200040 5280500250050 10561000500100 21122001000200