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22012011130320 = 2432530572237681
BaseRepresentation
bin1010000000101000100100…
…00110101010110111010000
32212221022211220100222220100
411000110102012222313100
510341121044322132240
6114452102303212400
74431213104321421
oct500242206526720
985838756328810
1022012011130320
117017272481902
1225760a9ba7100
13c389540a8ac3
1456155bdc5648
152828b2581e30
hex1405121aadd0

22012011130320 has 60 divisors (see below), whose sum is σ = 73923670715076. Its totient is φ = 5869869634560.

The previous prime is 22012011130297. The next prime is 22012011130337. The reversal of 22012011130320 is 2303111021022.

22012011130320 is a `hidden beast` number, since 2 + 201 + 2 + 0 + 11 + 130 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3842525175696 + 18169485954624 = 1960236^2 + 4262568^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 22012011130293 and 22012011130302.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15286118121 + ... + 15286119560.

Almost surely, 222012011130320 is an apocalyptic number.

22012011130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012011130320 is an abundant number, since it is smaller than the sum of its proper divisors (51911659584756).

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

22012011130320 is a wasteful number, since it uses less digits than its factorization.

22012011130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30572237700 (or 30572237691 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22012011130320 its reverse (2303111021022), we get a palindrome (24315122151342).

The spelling of 22012011130320 in words is "twenty-two trillion, twelve billion, eleven million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 30572237681 61144475362 91716713043 122288950724 152861188405 183433426086 244577901448 275150139129 305722376810 366866852172 458583565215 489155802896 550300278258 611444753620 733733704344 917167130430 1100600556516 1222889507240 1375750695645 1467467408688 1834334260860 2201201113032 2445779014480 2751501391290 3668668521720 4402402226064 5503002782580 7337337043440 11006005565160 22012011130320