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1355542455531 = 311271101520747
BaseRepresentation
bin10011101110011100101…
…000000110010011101011
311210120220002021112111210
4103232130220012103223
5134202122332034111
62514421055124203
7166635414521535
oct23563450062353
94716802245453
101355542455531
11482978417100
1219a868513663
139aa9a1c4244
1449874024855
15253da1740a6
hex13b9ca064eb

1355542455531 has 48 divisors (see below), whose sum is σ = 2034566601984. Its totient is φ = 801948840000.

The previous prime is 1355542455521. The next prime is 1355542455541.

1355542455531 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1355542455521) and next prime (1355542455541).

It is not a de Polignac number, because 1355542455531 - 27 = 1355542455403 is a prime.

It is a super-3 number, since 3×13555424555313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1355542455521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2342700 + ... + 2863446.

It is an arithmetic number, because the mean of its divisors is an integer number (42386804208).

Almost surely, 21355542455531 is an apocalyptic number.

1355542455531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1355542455531 is a deficient number, since it is larger than the sum of its proper divisors (679024146453).

1355542455531 is a wasteful number, since it uses less digits than its factorization.

1355542455531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520944 (or 520933 counting only the distinct ones).

The product of its digits is 4500000, while the sum is 48.

The spelling of 1355542455531 in words is "one trillion, three hundred fifty-five billion, five hundred forty-two million, four hundred fifty-five thousand, five hundred thirty-one".

Divisors: 1 3 11 33 71 101 121 213 303 363 781 1111 2343 3333 7171 8591 12221 21513 25773 36663 78881 236643 520747 867691 1562241 2603073 5728217 17184651 36973037 52595447 63010387 110919111 157786341 189031161 406703407 578549917 1220110221 1735649751 3734276737 4473737477 6364049087 11202830211 13421212431 19092147261 41077044107 123231132321 451847485177 1355542455531