Search a number
-
+
133201403301 = 3367960112601
BaseRepresentation
bin111110000001101101…
…1000001110110100101
3110201211000221101100110
41330003123001312211
54140244024401201
6141105240203233
712423566150451
oct1740333016645
9421730841313
10133201403301
11515437a088a
1221994a69519
13c73a215005
14663873b661
1536e8e3c6d6
hex1f036c1da5

133201403301 has 16 divisors (see below), whose sum is σ = 178118482688. Its totient is φ = 88542720000.

The previous prime is 133201403243. The next prime is 133201403311. The reversal of 133201403301 is 103304102331.

It is not a de Polignac number, because 133201403301 - 211 = 133201401253 is a prime.

It is a super-2 number, since 2×1332014033012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133201403311) 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 15 ways as a sum of consecutive naturals, for example, 10564401 + ... + 10577001.

It is an arithmetic number, because the mean of its divisors is an integer number (11132405168).

Almost surely, 2133201403301 is an apocalyptic number.

It is an amenable number.

133201403301 is a deficient number, since it is larger than the sum of its proper divisors (44917079387).

133201403301 is a wasteful number, since it uses less digits than its factorization.

133201403301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22572.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133201403301 its reverse (103304102331), we get a palindrome (236505505632).

The spelling of 133201403301 in words is "one hundred thirty-three billion, two hundred one million, four hundred three thousand, three hundred one".

Divisors: 1 3 367 1101 9601 12601 28803 37803 3523567 4624567 10570701 13873701 120982201 362946603 44400467767 133201403301