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135601145334303 = 311179109321002753
BaseRepresentation
bin11110110101010000011010…
…000110010100101000011111
3122210010100020222010110222020
4132311100122012110220133
5120233142121201144203
61200222150045151223
740363600535410665
oct3665203206245037
9583110228113866
10135601145334303
113a230139476960
12132604b125b513
135a8819666b14c
14256b1b7d68c35
1510a246c476153
hex7b541a194a1f

135601145334303 has 32 divisors (see below), whose sum is σ = 198521391248640. Its totient is φ = 81648618455040.

The previous prime is 135601145334301. The next prime is 135601145334341. The reversal of 135601145334303 is 303433541106531.

It is not a de Polignac number, because 135601145334303 - 21 = 135601145334301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135601145334301) 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 31 ways as a sum of consecutive naturals, for example, 4045026 + ... + 16957727.

It is an arithmetic number, because the mean of its divisors is an integer number (6203793476520).

Almost surely, 2135601145334303 is an apocalyptic number.

135601145334303 is a deficient number, since it is larger than the sum of its proper divisors (62920245914337).

135601145334303 is a wasteful number, since it uses less digits than its factorization.

135601145334303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21004039.

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 135601145334303 in words is "one hundred thirty-five trillion, six hundred one billion, one hundred forty-five million, three hundred thirty-four thousand, three hundred three".

Divisors: 1 3 11 33 179 537 1093 1969 3279 5907 12023 36069 195647 586941 2152117 6456351 21002753 63008259 231030283 693090849 3759492787 11278478361 22956009029 41354420657 68868027087 124063261971 252516099319 757548297957 4109125616191 12327376848573 45200381778101 135601145334303