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1131311102229 = 327111985920187
BaseRepresentation
bin10000011101100111011…
…001010111100100010101
311000011010000102120020200
4100131213121113210111
5122013411120232404
62223414523051113
7144506641463610
oct20354731274425
94004100376220
101131311102229
113a6871695590
12163309970a99
13828b39947b9
143ca81ac3177
151e66475e839
hex10767657915

1131311102229 has 48 divisors (see below), whose sum is σ = 2144567892480. Its totient is φ = 556762805280.

The previous prime is 1131311102197. The next prime is 1131311102237. The reversal of 1131311102229 is 9222011131311.

1131311102229 is a `hidden beast` number, since 11 + 313 + 1 + 110 + 2 + 229 = 666.

It is not a de Polignac number, because 1131311102229 - 25 = 1131311102197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131311102279) 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, 42946927 + ... + 42973260.

It is an arithmetic number, because the mean of its divisors is an integer number (44678497760).

Almost surely, 21131311102229 is an apocalyptic number.

1131311102229 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1131311102229 is a deficient number, since it is larger than the sum of its proper divisors (1013256790251).

1131311102229 is a wasteful number, since it uses less digits than its factorization.

1131311102229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85920230 (or 85920227 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 1131311102229 in words is "one trillion, one hundred thirty-one billion, three hundred eleven million, one hundred two thousand, two hundred twenty-nine".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 627 693 1197 1463 1881 4389 13167 85920187 257760561 601441309 773281683 945122057 1632483553 1804323927 2835366171 4897450659 5412971781 6615854399 8506098513 11427384871 14692351977 17957319083 19847563197 34282154613 53871957249 59542689591 102846463839 125701233581 161615871747 377103700743 1131311102229