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1131497451700 = 2252711547268643
BaseRepresentation
bin10000011101110010100…
…000001111000010110100
311000011121000002002122221
4100131302200033002310
5122014301321423300
62223445221132124
7144514363435540
oct20356240170264
94004530062587
101131497451700
113a69578a4710
1216336025a044
138291347c765
143ca9c750a20
151e675cbe31a
hex1077280f0b4

1131497451700 has 144 divisors (see below), whose sum is σ = 3066822710784. Its totient is φ = 352028476800.

The previous prime is 1131497451677. The next prime is 1131497451779. The reversal of 1131497451700 is 71547941311.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 4077579 + ... + 4346221.

It is an arithmetic number, because the mean of its divisors is an integer number (21297379936).

Almost surely, 21131497451700 is an apocalyptic number.

1131497451700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131497451700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533411355392).

1131497451700 is an abundant number, since it is smaller than the sum of its proper divisors (1935325259084).

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

1131497451700 is a wasteful number, since it uses less digits than its factorization.

1131497451700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269222 (or 269215 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 1131497451700 in words is "one trillion, one hundred thirty-one billion, four hundred ninety-seven million, four hundred fifty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 547 550 700 770 1094 1100 1540 1925 2188 2735 3829 3850 5470 6017 7658 7700 10940 12034 13675 15316 19145 24068 27350 30085 38290 42119 54700 60170 76580 84238 95725 120340 150425 168476 191450 210595 268643 300850 382900 421190 537286 601700 842380 1052975 1074572 1343215 1880501 2105950 2686430 2955073 3761002 4211900 5372860 5910146 6716075 7522004 9402505 11820292 13432150 14775365 18805010 20685511 26864300 29550730 37610020 41371022 47012525 59101460 73876825 82742044 94025050 103427555 146947721 147753650 188050100 206855110 293895442 295507300 413710220 517137775 587790884 734738605 1028634047 1034275550 1469477210 1616424931 2057268094 2068551100 2938954420 3232849862 3673693025 4114536188 5143170235 6465699724 7347386050 8082124655 10286340470 11314974517 14694772100 16164249310 20572680940 22629949034 25715851175 32328498620 40410623275 45259898068 51431702350 56574872585 80821246550 102863404700 113149745170 161642493100 226299490340 282874362925 565748725850 1131497451700