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13212130032032 = 2541307109330011
BaseRepresentation
bin1100000001000011000001…
…0100010011100110100000
31201210001211001120200112112
43000100300110103212200
53212431420242011112
644033322503214452
72532354620205311
oct300206024234640
951701731520475
1013212130032032
114234261a66558
121594723747428
1374ab8b069329
143396830d2608
1517da279b4a22
hexc04305139a0

13212130032032 has 96 divisors (see below), whose sum is σ = 26757948659904. Its totient is φ = 6417856972800.

The previous prime is 13212130032019. The next prime is 13212130032053. The reversal of 13212130032032 is 23023003121231.

It is a junction number, because it is equal to n+sod(n) for n = 13212130031989 and 13212130032007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440227907 + ... + 440257917.

It is an arithmetic number, because the mean of its divisors is an integer number (278728631874).

Almost surely, 213212130032032 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 13212130032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378974329952).

13212130032032 is an abundant number, since it is smaller than the sum of its proper divisors (13545818627872).

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

13212130032032 is a wasteful number, since it uses less digits than its factorization.

13212130032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31462 (or 31454 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13212130032032 its reverse (23023003121231), we get a palindrome (36235133153263).

The spelling of 13212130032032 in words is "thirteen trillion, two hundred twelve billion, one hundred thirty million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 307 328 614 656 1093 1228 1312 2186 2456 4372 4912 8744 9824 12587 17488 25174 30011 34976 44813 50348 60022 89626 100696 120044 179252 201392 240088 335551 358504 402784 480176 671102 717008 960352 1230451 1342204 1434016 2460902 2684408 4921804 5368816 9213377 9843608 10737632 13757591 18426754 19687216 27515182 32802023 36853508 39374432 55030364 65604046 73707016 110060728 131208092 147414032 220121456 262416184 294828064 377748457 440242912 524832368 755496914 1049664736 1344882943 1510993828 2689765886 3021987656 5379531772 6043975312 10070221061 10759063544 12087950624 20140442122 21518127088 40280884244 43036254176 80561768488 161123536976 322247073952 412879063501 825758127002 1651516254004 3303032508008 6606065016016 13212130032032