Search a number
-
+
22132201201032 = 23313174172737783
BaseRepresentation
bin1010000100001000011011…
…11111011001110110001000
32220100211002011012012101210
411002010031333121312020
510400103222001413112
6115023220505413120
74442666402135016
oct502041577316610
986324064165353
1022132201201032
11706323965795a
12259545149a1a0
13c47099781b40
145672c06878b6
15285a9907eb3c
hex14210dfd9d88

22132201201032 has 64 divisors (see below), whose sum is σ = 63091795294080. Its totient is φ = 6409325233152.

The previous prime is 22132201201013. The next prime is 22132201201081. The reversal of 22132201201032 is 23010210223122.

It is a super-3 number, since 3×221322012010323 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086363588 + ... + 2086374195.

It is an arithmetic number, because the mean of its divisors is an integer number (985809301470).

Almost surely, 222132201201032 is an apocalyptic number.

It is an amenable number.

22132201201032 is an abundant number, since it is smaller than the sum of its proper divisors (40959594093048).

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

22132201201032 is a wasteful number, since it uses less digits than its factorization.

22132201201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172737822 (or 4172737818 counting only the distinct ones).

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

Adding to 22132201201032 its reverse (23010210223122), we get a palindrome (45142411424154).

The spelling of 22132201201032 in words is "twenty-two trillion, one hundred thirty-two billion, two hundred one million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 4172737783 8345475566 12518213349 16690951132 25036426698 33381902264 50072853396 54245591179 70936542311 100145706792 108491182358 141873084622 162736773537 212809626933 216982364716 283746169244 325473547074 425619253866 433964729432 567492338488 650947094148 851238507732 922175050043 1301894188296 1702477015464 1844350100086 2766525150129 3688700200172 5533050300258 7377400400344 11066100600516 22132201201032