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133301123302321 = 13219184031225581
BaseRepresentation
bin11110010011110010010110…
…000110100100001110110001
3122110222110111110220021001201
4132103302112012210032301
5114433001200031133241
61151301405102531201
740035455046616132
oct3623622606441661
9573873443807051
10133301123302321
1139523763a50927
1212b4a798596b01
13594c31b862c00
1424cbb4747dc89
151062704dd6931
hex793c961a43b1

133301123302321 has 24 divisors (see below), whose sum is σ = 151942362243840. Its totient is φ = 116569872619200.

The previous prime is 133301123302309. The next prime is 133301123302337. The reversal of 133301123302321 is 123203321103331.

It is a happy number.

It is not a de Polignac number, because 133301123302321 - 215 = 133301123269553 is a prime.

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 133301123302321.

It is not an unprimeable number, because it can be changed into a prime (133301123300321) 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 23 ways as a sum of consecutive naturals, for example, 590810751 + ... + 591036331.

It is an arithmetic number, because the mean of its divisors is an integer number (6330931760160).

Almost surely, 2133301123302321 is an apocalyptic number.

It is an amenable number.

133301123302321 is a deficient number, since it is larger than the sum of its proper divisors (18641238941519).

133301123302321 is a wasteful number, since it uses less digits than its factorization.

133301123302321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409657 (or 409644 counting only the distinct ones).

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

Adding to 133301123302321 its reverse (123203321103331), we get a palindrome (256504444405652).

The spelling of 133301123302321 in words is "one hundred thirty-three trillion, three hundred one billion, one hundred twenty-three million, three hundred two thousand, three hundred twenty-one".

Divisors: 1 13 19 169 247 3211 184031 225581 2392403 2932553 3496589 4286039 31101239 38123189 45455657 55718507 590923541 724340591 41513897011 539680661143 788764043209 7015848594859 10253932561717 133301123302321