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133112221324101 = 33191600811620917
BaseRepresentation
bin11110010001000010011010…
…101010101101001101000101
3122110022101220120111111102000
4132101002122222231031011
5114421402312124332401
61151034524341535513
740016016635400555
oct3621023252551505
9573271816444360
10133112221324101
1139460637788758
1212b1a059714599
13593757586b636
1424c29472a7165
15105c84ae15186
hex79109aaad345

133112221324101 has 32 divisors (see below), whose sum is σ = 207583836220800. Its totient is φ = 84070299582720.

The previous prime is 133112221323997. The next prime is 133112221324133. The reversal of 133112221324101 is 101423122211331.

133112221324101 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 12 + 221 + 324 + 101 = 666.

It is not a de Polignac number, because 133112221324101 - 222 = 133112217129797 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133112221324171) 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, 81311095 + ... + 82932011.

It is an arithmetic number, because the mean of its divisors is an integer number (6486994881900).

Almost surely, 2133112221324101 is an apocalyptic number.

It is an amenable number.

133112221324101 is a deficient number, since it is larger than the sum of its proper divisors (74471614896699).

133112221324101 is a wasteful number, since it uses less digits than its factorization.

133112221324101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781026 (or 1781020 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 133112221324101 its reverse (101423122211331), we get a palindrome (234535343535432).

The spelling of 133112221324101 in words is "one hundred thirty-three trillion, one hundred twelve billion, two hundred twenty-one million, three hundred twenty-four thousand, one hundred one".

Divisors: 1 3 9 19 27 57 171 513 160081 480243 1440729 1620917 3041539 4322187 4862751 9124617 14588253 27373851 30797423 43764759 82121553 92392269 277176807 831530421 259478014277 778434042831 2335302128493 4930082271263 7005906385479 14790246813789 44370740441367 133112221324101