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13321013000310 = 2325148011255559
BaseRepresentation
bin1100000111011000101000…
…1111110111100001110110
31202011110212022002120110100
43001312022033313201312
53221222413312002220
644155331111134530
72543261056155441
oct301661217674166
952143768076410
1013321013000310
114276456619154
1215b1850374446
13758221001202
14340a51bc2658
1518179b9aed90
hexc1d8a3f7876

13321013000310 has 24 divisors (see below), whose sum is σ = 34634633801040. Its totient is φ = 3552270133392.

The previous prime is 13321013000263. The next prime is 13321013000311. The reversal of 13321013000310 is 1300031012331.

It is a happy number.

13321013000310 is a `hidden beast` number, since 1 + 3 + 321 + 0 + 1 + 30 + 0 + 0 + 310 = 666.

It is a super-2 number, since 2×133210130003102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321013000311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74005627690 + ... + 74005627869.

It is an arithmetic number, because the mean of its divisors is an integer number (1443109741710).

Almost surely, 213321013000310 is an apocalyptic number.

13321013000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13321013000310 is an abundant number, since it is smaller than the sum of its proper divisors (21313620800730).

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

13321013000310 is a wasteful number, since it uses less digits than its factorization.

13321013000310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148011255572 (or 148011255569 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13321013000310 its reverse (1300031012331), we get a palindrome (14621044012641).

The spelling of 13321013000310 in words is "thirteen trillion, three hundred twenty-one billion, thirteen million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 148011255559 296022511118 444033766677 740056277795 888067533354 1332101300031 1480112555590 2220168833385 2664202600062 4440337666770 6660506500155 13321013000310