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13203022332132 = 22331076967163991
BaseRepresentation
bin1100000000100001000101…
…1101001100000011100100
31201202012022022211121001000
43000020101131030003210
53212304242204112012
644025215033433300
72531613126062343
oct300102135140344
951665268747030
1013203022332132
1142304089a4846
121592a0156b830
1374a0691aa8a9
1433905b683b5a
1517d693111ddc
hexc021174c0e4

13203022332132 has 96 divisors (see below), whose sum is σ = 34555134781440. Its totient is φ = 4359224161440.

The previous prime is 13203022332121. The next prime is 13203022332139. The reversal of 13203022332132 is 23123322030231.

13203022332132 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 302 + 2 + 3 + 321 + 32 = 666.

It is a super-2 number, since 2×132030223321322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13203022332096 and 13203022332105.

It is not an unprimeable number, because it can be changed into a prime (13203022332139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80428657 + ... + 80592647.

It is an arithmetic number, because the mean of its divisors is an integer number (359949320640).

Almost surely, 213203022332132 is an apocalyptic number.

13203022332132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13203022332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17277567390720).

13203022332132 is an abundant number, since it is smaller than the sum of its proper divisors (21352112449308).

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

13203022332132 is a wasteful number, since it uses less digits than its factorization.

13203022332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171078 (or 171070 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13203022332132 its reverse (23123322030231), we get a palindrome (36326344362363).

The spelling of 13203022332132 in words is "thirteen trillion, two hundred three billion, twenty-two million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 6967 11556 13934 20901 27868 41802 62703 83604 125406 163991 188109 250812 327982 376218 491973 655964 745469 752436 983946 1475919 1490938 1967892 2236407 2951838 2981876 4427757 4472814 5903676 6709221 8855514 8945628 13418442 17547037 17711028 20127663 26836884 35094074 40255326 52641111 70188148 80510652 105282222 157923333 210564444 315846666 473769999 631693332 947539998 1142525297 1895079996 2285050594 3427575891 4570101188 6855151782 10282727673 13710303564 20565455346 30848183019 41130910692 61696366038 122250206779 123392732076 244500413558 366750620337 489000827116 733501240674 1100251861011 1467002481348 2200503722022 3300755583033 4401007444044 6601511166066 13203022332132