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2122333132320 = 253251473842453
BaseRepresentation
bin11110111000100100111…
…010011001011000100000
321111220010001012212022200
4132320210322121120200
5234233014240213240
64302553020333200
7306222251654352
oct36704472313040
97456101185280
102122333132320
117490927a6835
122a33a50a4200
1312519ac244bb
1474a15a0b0d2
153a317beb930
hex1ee24e99620

2122333132320 has 72 divisors (see below), whose sum is σ = 7242461818956. Its totient is φ = 565955501568.

The previous prime is 2122333132313. The next prime is 2122333132369. The reversal of 2122333132320 is 232313332212.

2122333132320 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 3 + 331 + 3 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1710769825296 + 411563307024 = 1307964^2 + 641532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736919787 + ... + 736922666.

Almost surely, 22122333132320 is an apocalyptic number.

2122333132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122333132320 is an abundant number, since it is smaller than the sum of its proper divisors (5120128686636).

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

2122333132320 is a wasteful number, since it uses less digits than its factorization.

2122333132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473842474 (or 1473842463 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2122333132320 its reverse (232313332212), we get a palindrome (2354646464532).

The spelling of 2122333132320 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1473842453 2947684906 4421527359 5895369812 7369212265 8843054718 11790739624 13264582077 14738424530 17686109436 22107636795 23581479248 26529164154 29476849060 35372218872 44215273590 47162958496 53058328308 58953698120 66322910385 70744437744 88430547180 106116656616 117907396240 132645820770 141488875488 176861094360 212233313232 235814792480 265291641540 353722188720 424466626464 530583283080 707444377440 1061166566160 2122333132320