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131542103000 = 23537111708339
BaseRepresentation
bin111101010000010000…
…1010011001111011000
3110120112101200012020202
41322200201103033120
54123344234244000
6140232443441332
712334510266320
oct1724041231730
9416471605222
10131542103000
11508720a6a20
12215b1226248
13c534518909
14651c20c280
15364d427dd5
hex1ea08533d8

131542103000 has 128 divisors (see below), whose sum is σ = 383761497600. Its totient is φ = 41000112000.

The previous prime is 131542102997. The next prime is 131542103009. The reversal of 131542103000 is 301245131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131542103009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 777170 + ... + 931169.

It is an arithmetic number, because the mean of its divisors is an integer number (2998136700).

Almost surely, 2131542103000 is an apocalyptic number.

131542103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131542103000 is an abundant number, since it is smaller than the sum of its proper divisors (252219394600).

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

131542103000 is a wasteful number, since it uses less digits than its factorization.

131542103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708378 (or 1708364 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 131542103000 its reverse (301245131), we get a palindrome (131843348131).

The spelling of 131542103000 in words is "one hundred thirty-one billion, five hundred forty-two million, one hundred three thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 1708339 3416678 6833356 8541695 11958373 13666712 17083390 18791729 23916746 34166780 37583458 42708475 47833492 59791865 68333560 75166916 85416950 93958645 95666984 119583730 131542103 150333832 170833900 187917290 213542375 239167460 263084206 298959325 341667800 375834580 427084750 469793225 478334920 526168412 597918650 657710515 751669160 854169500 939586450 1052336824 1195837300 1315421030 1494796625 1708339000 1879172900 2348966125 2391674600 2630842060 2989593250 3288552575 3758345800 4697932250 5261684120 5979186500 6577105150 9395864500 11958373000 13154210300 16442762875 18791729000 26308420600 32885525750 65771051500 131542103000