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1322130330112 = 2919379358601
BaseRepresentation
bin10011001111010101000…
…110111101001000000000
311200101122112110201000011
4103033111012331020000
5133130210331030422
62451213413234304
7164343423244264
oct23172506751000
94611575421004
101322130330112
1146a792115809
121942a2932994
13978a3c4c227
1447dc47740a4
15245d1bea077
hex133d51bd200

1322130330112 has 80 divisors (see below), whose sum is σ = 2788058829600. Its totient is φ = 624618086400.

The previous prime is 1322130330089. The next prime is 1322130330119. The reversal of 1322130330112 is 2110330312231.

It is a super-3 number, since 3×13221303301123 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1322130330119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3507612 + ... + 3866212.

It is an arithmetic number, because the mean of its divisors is an integer number (34850735370).

Almost surely, 21322130330112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322130330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394029414800).

1322130330112 is an abundant number, since it is smaller than the sum of its proper divisors (1465928499488).

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

1322130330112 is an equidigital number, since it uses as much as digits as its factorization.

1322130330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359017 (or 359001 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1322130330112 its reverse (2110330312231), we get a palindrome (3432460642343).

The spelling of 1322130330112 in words is "one trillion, three hundred twenty-two billion, one hundred thirty million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 379 512 608 758 1216 1516 2432 3032 4864 6064 7201 9728 12128 14402 24256 28804 48512 57608 97024 115216 194048 230432 358601 460864 717202 921728 1434404 1843456 2868808 3686912 5737616 6813419 11475232 13626838 22950464 27253676 45900928 54507352 91801856 109014704 135909779 183603712 218029408 271819558 436058816 543639116 872117632 1087278232 1744235264 2174556464 2582285801 3488470528 4349112928 5164571602 8698225856 10329143204 17396451712 20658286408 34792903424 41316572816 69585806848 82633145632 165266291264 330532582528 661065165056 1322130330112