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21132020221400 = 23521119505550723
BaseRepresentation
bin1001100111000001011101…
…00011110000010111011000
32202211012102211020001112102
410303200232203300113120
510232211334134041100
6112535525512102532
74310511106110404
oct463405643602730
982735384201472
1021132020221400
116808048560320
12245363a994a48
13ba3982b5b57a
14530b1c1b0104
15269a5b9b9cd5
hex13382e8f05d8

21132020221400 has 96 divisors (see below), whose sum is σ = 56419460798400. Its totient is φ = 7279930396800.

The previous prime is 21132020221349. The next prime is 21132020221421. The reversal of 21132020221400 is 412202023112.

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

It is a congruent number.

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, 252733562 + ... + 252817161.

It is an arithmetic number, because the mean of its divisors is an integer number (587702716650).

Almost surely, 221132020221400 is an apocalyptic number.

21132020221400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132020221400 is an abundant number, since it is smaller than the sum of its proper divisors (35287440577000).

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

21132020221400 is a wasteful number, since it uses less digits than its factorization.

21132020221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505550769 (or 505550760 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21132020221400 its reverse (412202023112), we get a palindrome (21544222244512).

The spelling of 21132020221400 in words is "twenty-one trillion, one hundred thirty-two billion, twenty million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1672 1900 2090 2200 3800 4180 5225 8360 10450 20900 41800 505550723 1011101446 2022202892 2527753615 4044405784 5055507230 5561057953 9605463737 10111014460 11122115906 12638768075 19210927474 20222028920 22244231812 25277536150 27805289765 38421854948 44488463624 48027318685 50555072300 55610579530 76843709896 96054637370 101110144600 105660101107 111221159060 139026448825 192109274740 211320202214 222442318120 240136593425 278052897650 384218549480 422640404428 480273186850 528300505535 556105795300 845280808856 960546373700 1056601011070 1112211590600 1921092747400 2113202022140 2641502527675 4226404044280 5283005055350 10566010110700 21132020221400