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13021122312 = 23321116440811
BaseRepresentation
bin11000010000001111…
…01000111100001000
31020121110112112211100
430020013220330020
5203131401403222
65552023501400
7640450466502
oct141007507410
936543475740
1013021122312
1155820a1a10
1226348b7860
1312c6888c03
148b74a6d72
155132254ac
hex3081e8f08

13021122312 has 48 divisors (see below), whose sum is σ = 38471500080. Its totient is φ = 3945794400.

The previous prime is 13021122311. The next prime is 13021122383. The reversal of 13021122312 is 21322112031.

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

It is not an unprimeable number, because it can be changed into a prime (13021122311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8219614 + ... + 8221197.

It is an arithmetic number, because the mean of its divisors is an integer number (801489585).

Almost surely, 213021122312 is an apocalyptic number.

13021122312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13021122312 is an abundant number, since it is smaller than the sum of its proper divisors (25450377768).

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

13021122312 is a wasteful number, since it uses less digits than its factorization.

13021122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16440834 (or 16440827 counting only the distinct ones).

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

Adding to 13021122312 its reverse (21322112031), we get a palindrome (34343234343).

The spelling of 13021122312 in words is "thirteen billion, twenty-one million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 16440811 32881622 49322433 65763244 98644866 131526488 147967299 180848921 197289732 295934598 361697842 394579464 542546763 591869196 723395684 1085093526 1183738392 1446791368 1627640289 2170187052 3255280578 4340374104 6510561156 13021122312