Search a number
-
+
133201121102331 = 31737470591500007
BaseRepresentation
bin11110010010010101001101…
…100000011100100111111011
3122110121220101011010010222220
4132102111031200130213323
5114424331344000233311
61151143430020415123
740025314645135512
oct3622251540344773
9573556334103886
10133201121102331
1139495307352957
1212b33329b474a3
135942a72762cc9
1424c6d7c009679
15105ed008b5206
hex79254d81c9fb

133201121102331 has 32 divisors (see below), whose sum is σ = 193135270049280. Its totient is φ = 81316549264896.

The previous prime is 133201121102327. The next prime is 133201121102339.

133201121102331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133201121102331 - 22 = 133201121102327 is a prime.

It is a super-2 number, since 2×1332011211023312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133201121102339) 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, 88050330 + ... + 89550336.

It is an arithmetic number, because the mean of its divisors is an integer number (6035477189040).

Almost surely, 2133201121102331 is an apocalyptic number.

133201121102331 is a deficient number, since it is larger than the sum of its proper divisors (59934148946949).

133201121102331 is a wasteful number, since it uses less digits than its factorization.

133201121102331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547123.

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 133201121102331 in words is "one hundred thirty-three trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 3 17 37 51 111 629 1887 47059 141177 800003 1500007 1741183 2400009 4500021 5223549 25500119 29600111 55500259 76500357 88800333 166500777 943504403 2830513209 70588829413 211766488239 1200010100021 2611786688281 3600030300063 7835360064843 44400373700777 133201121102331