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13332011132224 = 26109217533261
BaseRepresentation
bin1100001000000001100111…
…0010011010010101000000
31202012112020210000120011101
43002000121302122111000
53221412424322212344
644204350311224144
72544130443561121
oct302003162322500
952175223016141
1013332011132224
11428008a7a0474
1215b39bb678054
13759284723485
143413b6728048
15181be22d09d4
hexc2019c9a540

13332011132224 has 42 divisors (see below), whose sum is σ = 26700650769534. Its totient is φ = 6604849175040.

The previous prime is 13332011132221. The next prime is 13332011132233. The reversal of 13332011132224 is 42223111023331.

It can be written as a sum of positive squares in 3 ways, for example, as 622786132224 + 12709225000000 = 789168^2 + 3565000^2 .

It is a super-2 number, since 2×133320111322242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13332011132192 and 13332011132201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332011132221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8006247 + ... + 9527014.

It is an arithmetic number, because the mean of its divisors is an integer number (635729780227).

Almost surely, 213332011132224 is an apocalyptic number.

It is an amenable number.

13332011132224 is an abundant number, since it is smaller than the sum of its proper divisors (13368639637310).

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

13332011132224 is an equidigital number, since it uses as much as digits as its factorization.

13332011132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17533491 (or 17533372 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13332011132224 its reverse (42223111023331), we get a palindrome (55555122155555).

The spelling of 13332011132224 in words is "thirteen trillion, three hundred thirty-two billion, eleven million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 6976 11881 23762 47524 95048 190096 380192 760384 17533261 35066522 70133044 140266088 280532176 561064352 1122128704 1911125449 3822250898 7644501796 15289003592 30578007184 61156014368 122312028736 208312673941 416625347882 833250695764 1666501391528 3333002783056 6666005566112 13332011132224