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133020526165241 = 111341129117574077
BaseRepresentation
bin11110001111101101000001…
…001101011011110011111001
3122102222122020011212210111012
4132033231001031123303321
5114413402014144241431
61150524441444243305
740006262433404111
oct3617550115336371
9572878204783435
10133020526165241
1139425763200730
1212b043290a0535
13592ba217a64a0
1424bc3291c4041
15105a280d3e22b
hex78fb4135bcf9

133020526165241 has 32 divisors (see below), whose sum is σ = 160211481123456. Its totient is φ = 108818678592000.

The previous prime is 133020526165123. The next prime is 133020526165271. The reversal of 133020526165241 is 142561625020331.

It is a de Polignac number, because none of the positive numbers 2k-133020526165241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133020526165271) 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, 1217906 + ... + 16356171.

It is an arithmetic number, because the mean of its divisors is an integer number (5006608785108).

Almost surely, 2133020526165241 is an apocalyptic number.

133020526165241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133020526165241 is a deficient number, since it is larger than the sum of its proper divisors (27190954958215).

133020526165241 is a wasteful number, since it uses less digits than its factorization.

133020526165241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17575433.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 133020526165241 in words is "one hundred thirty-three trillion, twenty billion, five hundred twenty-six million, one hundred sixty-five thousand, two hundred forty-one".

Divisors: 1 11 13 41 143 451 533 1291 5863 14201 16783 52931 184613 582241 688103 7569133 17574077 193314847 228463001 720537157 2513093011 7925908727 9366983041 22688133407 103036813451 249569467477 294945734291 930213469687 3244403077201 10232348166557 12092775105931 133020526165241