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1334324234331 = 321121772074987
BaseRepresentation
bin10011011010101011111…
…011000000100001011011
311201120010100110012221100
4103122223323000201123
5133330144000444311
62500551411042443
7165254540566404
oct23325373004133
94646110405840
101334324234331
1147497a276500
121967265a0423
1398a9831557a
14488200289ab
1524a974bda56
hex136abec085b

1334324234331 has 36 divisors (see below), whose sum is σ = 2243117776536. Its totient is φ = 761111852160.

The previous prime is 1334324234311. The next prime is 1334324234371.

1334324234331 is a `hidden beast` number, since 1 + 3 + 3 + 43 + 242 + 343 + 31 = 666.

1334324234331 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1334324234331 is a prime.

It is a super-2 number, since 2×13343242343312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1334324234311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36018981 + ... + 36056006.

It is an arithmetic number, because the mean of its divisors is an integer number (62308827126).

Almost surely, 21334324234331 is an apocalyptic number.

1334324234331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1334324234331 is a deficient number, since it is larger than the sum of its proper divisors (908793542205).

1334324234331 is a wasteful number, since it uses less digits than its factorization.

1334324234331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72075032 (or 72075018 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 1334324234331 in words is "one trillion, three hundred thirty-four billion, three hundred twenty-four million, two hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 561 1089 1683 2057 6171 18513 72074987 216224961 648674883 792824857 1225274779 2378474571 3675824337 7135423713 8721073427 11027473011 13478022569 26163220281 40434067707 78489660843 121302203121 148258248259 444774744777 1334324234331