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133044102022001 = 172896777640453
BaseRepresentation
bin11110010000000010111110…
…011100001100001101110001
3122110001220002020000102001012
4132100002332130030031301
5114414243310104201001
61150543341112520305
740011055606026302
oct3620027634141561
9573056066012035
10133044102022001
1139434761158875
1212b08a086b0095
13593100ac59ca1
1424bd5243727a9
15105abb099d2bb
hex7900be70c371

133044102022001 has 24 divisors (see below), whose sum is σ = 143129694445560. Its totient is φ = 123628136732672.

The previous prime is 133044102021917. The next prime is 133044102022061. The reversal of 133044102022001 is 100220201440331.

It can be written as a sum of positive squares in 12 ways, for example, as 11261400351601 + 121782701670400 = 3355801^2 + 11035520^2 .

It is not a de Polignac number, because 133044102022001 - 226 = 133044034913137 is a prime.

It is a super-2 number, since 2×1330441020220012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133044102022061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13592891 + ... + 21233343.

It is an arithmetic number, because the mean of its divisors is an integer number (5963737268565).

Almost surely, 2133044102022001 is an apocalyptic number.

It is an amenable number.

133044102022001 is a deficient number, since it is larger than the sum of its proper divisors (10085592423559).

133044102022001 is an equidigital number, since it uses as much as digits as its factorization.

133044102022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641253 (or 7641236 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 133044102022001 its reverse (100220201440331), we get a palindrome (233264303462332).

The spelling of 133044102022001 in words is "one hundred thirty-three trillion, forty-four billion, one hundred two million, twenty-two thousand, one".

Divisors: 1 17 89 289 677 1513 11509 25721 60253 195653 1024301 7640453 17413117 129887701 680000317 2208090917 5172586681 11560005389 87933973577 196520091613 460360214609 1494877550809 7826123648353 133044102022001