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2122121131332 = 223737873078161
BaseRepresentation
bin11110111000011000010…
…001101011010101000100
321111212120021022002122020
4132320120101223111010
5234232101002200312
64302520004403140
7306214065664566
oct36703021532504
97455507262566
102122121131332
11748a94067304
122a33460a64b0
13125166027927
14749d57c3336
153a3042c178c
hex1ee1846b544

2122121131332 has 48 divisors (see below), whose sum is σ = 5025825911232. Its totient is φ = 696796922880.

The previous prime is 2122121131271. The next prime is 2122121131337. The reversal of 2122121131332 is 2331311212212.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2122121131337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 849669 + ... + 2228492.

It is an arithmetic number, because the mean of its divisors is an integer number (104704706484).

Almost surely, 22122121131332 is an apocalyptic number.

It is an amenable number.

2122121131332 is an abundant number, since it is smaller than the sum of its proper divisors (2903704779900).

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

2122121131332 is a wasteful number, since it uses less digits than its factorization.

2122121131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079028 (or 3079026 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 2122121131332 its reverse (2331311212212), we get a palindrome (4453432343544).

The spelling of 2122121131332 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 73 146 219 292 438 787 876 1574 2361 3148 4722 9444 57451 114902 172353 229804 344706 689412 3078161 6156322 9234483 12312644 18468966 36937932 224705753 449411506 674117259 898823012 1348234518 2422512707 2696469036 4845025414 7267538121 9690050828 14535076242 29070152484 176843427611 353686855222 530530282833 707373710444 1061060565666 2122121131332