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133122103330321 = 743941469995881
BaseRepresentation
bin11110010001001011100111…
…101011100100011000010001
3122110100100102021020102111101
4132101023213223210120101
5114422033031423032241
61151043241111344401
740016516551145410
oct3621134753443021
9573310367212441
10133122103330321
1139464848931246
1212b1bb57082101
13593848bc850b1
1424c32038b3477
15105cc28766e31
hex7912e7ae4611

133122103330321 has 16 divisors (see below), whose sum is σ = 155843114537088. Its totient is φ = 111332624054400.

The previous prime is 133122103330243. The next prime is 133122103330357. The reversal of 133122103330321 is 123033301221331.

It is a happy number.

It is not a de Polignac number, because 133122103330321 - 211 = 133122103328273 is a prime.

It is a super-2 number, since 2×1331221033303212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133122103330321.

It is not an unprimeable number, because it can be changed into a prime (133122103330621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234714700 + ... + 235281181.

It is an arithmetic number, because the mean of its divisors is an integer number (9740194658568).

Almost surely, 2133122103330321 is an apocalyptic number.

It is an amenable number.

133122103330321 is a deficient number, since it is larger than the sum of its proper divisors (22721011206767).

133122103330321 is an equidigital number, since it uses as much as digits as its factorization.

133122103330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469996872.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 133122103330321 its reverse (123033301221331), we get a palindrome (256155404551652).

The spelling of 133122103330321 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, one hundred three million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 7 43 301 941 6587 40463 283241 469995881 3289971167 20209822883 141468760181 442266124021 3095862868147 19017443332903 133122103330321