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13321013000022 = 23271310183995971
BaseRepresentation
bin1100000111011000101000…
…1111110111011101010110
31202011110212022002120001200
43001312022033313131112
53221222413312000042
644155331111133330
72543261056154550
oct301661217673526
952143768076050
1013321013000022
114276456618a12
1215b1850374246
13758221001040
14340a51bc24d0
1518179b9aec4c
hexc1d8a3f7756

13321013000022 has 192 divisors, whose sum is σ = 35917544033280. Its totient is φ = 3474267552000.

The previous prime is 13321012999999. The next prime is 13321013000041. The reversal of 13321013000022 is 22000031012331.

13321013000022 is a `hidden beast` number, since 1 + 332 + 10 + 1 + 300 + 0 + 0 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13321012999959 and 13321013000004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138754497 + ... + 138850467.

It is an arithmetic number, because the mean of its divisors is an integer number (187070541840).

Almost surely, 213321013000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321013000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17958772016640).

13321013000022 is an abundant number, since it is smaller than the sum of its proper divisors (22596531033258).

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

13321013000022 is a wasteful number, since it uses less digits than its factorization.

13321013000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96939 (or 96936 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13321013000022 its reverse (22000031012331), we get a palindrome (35321044012353).

The spelling of 13321013000022 in words is "thirteen trillion, three hundred twenty-one billion, thirteen million, twenty-two", and thus it is an aban number.