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13033103033032 = 236735437445229
BaseRepresentation
bin1011110110101000000101…
…1110100000001011001000
31201010221201100200211201221
42331222001132200023020
53202013243334024112
643415154101251424
72513416304626645
oct275520136401310
951127640624657
1013033103033032
114175342987435
121565a9ba03b74
13737029b9ac24
14330b3c616dcc
1517904a907e07
hexbda817a02c8

13033103033032 has 32 divisors (see below), whose sum is σ = 24477935081400. Its totient is φ = 6505657288704.

The previous prime is 13033103033017. The next prime is 13033103033033. The reversal of 13033103033032 is 23033030133031.

It can be written as a sum of positive squares in 4 ways, for example, as 9753041556196 + 3280061476836 = 3122986^2 + 1811094^2 .

It is a super-2 number, since 2×130331030330322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13033103032988 and 13033103033006.

It is not an unprimeable number, because it can be changed into a prime (13033103033033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29050194 + ... + 29495422.

Almost surely, 213033103033032 is an apocalyptic number.

It is an amenable number.

13033103033032 is a deficient number, since it is larger than the sum of its proper divisors (11444832048368).

13033103033032 is a wasteful number, since it uses less digits than its factorization.

13033103033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451345 (or 451341 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 13033103033032 its reverse (23033030133031), we get a palindrome (36066133166063).

The spelling of 13033103033032 in words is "thirteen trillion, thirty-three billion, one hundred three million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 673 1346 2692 5384 5437 10874 21748 43496 445229 890458 1780916 3561832 3659101 7318202 14636404 29272808 299639117 599278234 1198556468 2397112936 2420710073 4841420146 9682840292 19365680584 1629137879129 3258275758258 6516551516516 13033103033032