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101010332331311 = 13174357718421681
BaseRepresentation
bin10110111101111001001100…
…111110100010110100101111
3111020122111022201211202202012
4112331321030332202310233
5101214423130034100221
6554455301150551435
730163520125231214
oct2675711476426457
9436574281752665
10101010332331311
112a2042722a3557
12b3b458bb0857b
134449305c09ba0
141ad2cd75a9b0b
15ba279d18c65b
hex5bde4cfa2d2f

101010332331311 has 32 divisors (see below), whose sum is σ = 118062054589248. Its totient is φ = 85566198251520.

The previous prime is 101010332331211. The next prime is 101010332331353. The reversal of 101010332331311 is 113133233010101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101010332331311 is a prime.

It is a super-3 number, since 3×1010103323313113 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010332331211) 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 31 ways as a sum of consecutive naturals, for example, 3727610 + ... + 14694071.

It is an arithmetic number, because the mean of its divisors is an integer number (3689439205914).

Almost surely, 2101010332331311 is an apocalyptic number.

101010332331311 is a deficient number, since it is larger than the sum of its proper divisors (17051722257937).

101010332331311 is a wasteful number, since it uses less digits than its factorization.

101010332331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18422331.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 101010332331311 its reverse (113133233010101), we get a palindrome (214143565341412).

The spelling of 101010332331311 in words is "one hundred one trillion, ten billion, three hundred thirty-two million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 13 17 43 221 559 577 731 7501 9503 9809 24811 127517 322543 421787 5483231 18421681 239481853 313168577 792132283 4071191501 10297719679 10629309937 13466248811 138181029181 175061234543 180698268929 457060327291 2349077496077 5941784254783 7770025563947 101010332331311