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1131300267876 = 223226926592
BaseRepresentation
bin10000011101100110110…
…000000010011101100100
311000011002021001010022100
4100131212300002131210
5122013400332033001
62223413454532100
7144506450420562
oct20354660023544
94004067033270
101131300267876
113a6866565579
12163306207030
13828b167023c
143ca804a2a32
151e66381e586
hex10766c02764

1131300267876 has 81 divisors (see below), whose sum is σ = 2874708179161. Its totient is φ = 375128126688.

The previous prime is 1131300267829. The next prime is 1131300267907. The reversal of 1131300267876 is 6787620031311.

The square root of 1131300267876 is 1063626.

It is a perfect power (a square), and thus also a powerful number.

1131300267876 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 300 + 267 + 87 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74434026276 + 1056866241600 = 272826^2 + 1028040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1716692035 + ... + 1716692693.

Almost surely, 21131300267876 is an apocalyptic number.

1131300267876 is the 1063626-th square number.

It is an amenable number.

1131300267876 is an abundant number, since it is smaller than the sum of its proper divisors (1743407911285).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131300267876 is an frugal number, since it uses more digits than its factorization.

1131300267876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1131300267876 in words is "one trillion, one hundred thirty-one billion, three hundred million, two hundred sixty-seven thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 659 807 1076 1318 1614 1977 2421 2636 3228 3954 4842 5931 7908 9684 11862 23724 72361 144722 177271 217083 289444 354542 434166 434281 531813 651249 709084 868332 868562 1063626 1302498 1302843 1595439 1737124 2127252 2604996 2605686 3190878 3908529 5211372 6381756 7817058 15634116 47685899 95371798 116821589 143057697 190743596 233643178 286115394 350464767 429173091 467286356 572230788 700929534 858346182 1051394301 1401859068 1716692364 2102788602 4205577204 31425007441 62850014882 94275022323 125700029764 188550044646 282825066969 377100089292 565650133938 1131300267876