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133101033002233 = 1574571855092517
BaseRepresentation
bin11110010000110111111111…
…110010101001010011111001
3122110021100000211200212010121
4132100313333302221103321
5114421211403422032413
61151025434225213241
740015142451256432
oct3620677762512371
9573240024625117
10133101033002233
113945691621395a
1212b17a56791221
1359364b191833a
1424c21a53b4489
15105c3e3a76b8d
hex790dffca94f9

133101033002233 has 8 divisors (see below), whose sum is σ = 134241914972552. Its totient is φ = 131963861218176.

The previous prime is 133101033002143. The next prime is 133101033002257. The reversal of 133101033002233 is 332200330101331.

It can be written as a sum of positive squares in 4 ways, for example, as 32013552434704 + 101087480567529 = 5658052^2 + 10054227^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133101033002233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133101033002198 and 133101033002207.

It is not an unprimeable number, because it can be changed into a prime (133101033006233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927474510 + ... + 927618007.

It is an arithmetic number, because the mean of its divisors is an integer number (16780239371569).

Almost surely, 2133101033002233 is an apocalyptic number.

It is an amenable number.

133101033002233 is a deficient number, since it is larger than the sum of its proper divisors (1140881970319).

133101033002233 is a wasteful number, since it uses less digits than its factorization.

133101033002233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855093131.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 133101033002233 its reverse (332200330101331), we get a palindrome (465301363103564).

The spelling of 133101033002233 in words is "one hundred thirty-three trillion, one hundred one billion, thirty-three million, two thousand, two hundred thirty-three".

Divisors: 1 157 457 71749 1855092517 291249525169 847777280269 133101033002233