Search a number
-
+
21133222021200 = 2435273692389879
BaseRepresentation
bin1001100111000011101100…
…01100010000100001010000
32202211022112120121210221010
410303201312030100201100
510232221314314134300
6112540245042530520
74310552641203042
oct463416614204120
982738476553833
1021133222021200
1168086049862a3
122453915366a40
13ba3b14b33003
14530bd3a4ba92
15269acc25da50
hex133876310850

21133222021200 has 120 divisors (see below), whose sum is σ = 67705969566400. Its totient is φ = 5634758753280.

The previous prime is 21133222021129. The next prime is 21133222021201. The reversal of 21133222021200 is 212022233112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×211332220212002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133222021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7647861 + ... + 10037739.

Almost surely, 221133222021200 is an apocalyptic number.

21133222021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21133222021200 is an abundant number, since it is smaller than the sum of its proper divisors (46572747545200).

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

21133222021200 is a wasteful number, since it uses less digits than its factorization.

21133222021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397269 (or 2397258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21133222021200 its reverse (212022233112), we get a palindrome (21345244254312).

The spelling of 21133222021200 in words is "twenty-one trillion, one hundred thirty-three billion, two hundred twenty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 7369 14738 22107 29476 36845 44214 58952 73690 88428 110535 117904 147380 176856 184225 221070 294760 353712 368450 442140 552675 589520 736900 884280 1105350 1473800 1768560 2210700 2389879 2947600 4421400 4779758 7169637 8842800 9559516 11949395 14339274 19119032 23898790 28678548 35848185 38238064 47797580 57357096 59746975 71696370 95595160 114714192 119493950 143392740 179240925 191190320 238987900 286785480 358481850 477975800 573570960 716963700 955951600 1433927400 2867854800 17611018351 35222036702 52833055053 70444073404 88055091755 105666110106 140888146808 176110183510 211332220212 264165275265 281776293616 352220367020 422664440424 440275458775 528330550530 704440734040 845328880848 880550917550 1056661101060 1320826376325 1408881468080 1761101835100 2113322202120 2641652752650 3522203670200 4226644404240 5283305505300 7044407340400 10566611010600 21133222021200