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131242555152 = 243310710632671
BaseRepresentation
bin111101000111010101…
…0100111011100010000
3110112202112000120212000
41322032222213130100
54122241043231102
6140143023234000
712324212212062
oct1721652473420
9415675016760
10131242555152
1150729001215
1221528a48900
13c4b7448877
1464d0515732
153631ea801c
hex1e8eaa7710

131242555152 has 160 divisors (see below), whose sum is σ = 380735631360. Its totient is φ = 43281682560.

The previous prime is 131242555111. The next prime is 131242555153. The reversal of 131242555152 is 251555242131.

131242555152 is a `hidden beast` number, since 1 + 3 + 12 + 42 + 5 + 551 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131242555153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49134777 + ... + 49137447.

It is an arithmetic number, because the mean of its divisors is an integer number (2379597696).

Almost surely, 2131242555152 is an apocalyptic number.

131242555152 is a gapful number since it is divisible by the number (12) 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 131242555152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190367815680).

131242555152 is an abundant number, since it is smaller than the sum of its proper divisors (249493076208).

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

131242555152 is a wasteful number, since it uses less digits than its factorization.

131242555152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3846 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

Adding to 131242555152 its reverse (251555242131), we get a palindrome (382797797283).

The spelling of 131242555152 in words is "one hundred thirty-one billion, two hundred forty-two million, five hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1063 1284 1712 1926 2126 2568 2671 2889 3189 3852 4252 5136 5342 5778 6378 7704 8013 8504 9567 10684 11556 12756 15408 16026 17008 19134 21368 23112 24039 25512 28701 32052 38268 42736 46224 48078 51024 57402 64104 72117 76536 96156 113741 114804 128208 144234 153072 192312 227482 229608 285797 288468 341223 384624 454964 459216 571594 576936 682446 857391 909928 1023669 1143188 1153872 1364892 1714782 1819856 2047338 2286376 2572173 2729784 2839273 3071007 3429564 4094676 4572752 5144346 5459568 5678546 6142014 6859128 7716519 8189352 8517819 10288692 11357092 12284028 13718256 15433038 16378704 17035638 20577384 22714184 24568056 25553457 30866076 34071276 41154768 45428368 49136112 51106914 61732152 68142552 76660371 102213828 123464304 136285104 153320742 204427656 303802211 306641484 408855312 607604422 613282968 911406633 1215208844 1226565936 1822813266 2430417688 2734219899 3645626532 4860835376 5468439798 7291253064 8202659697 10936879596 14582506128 16405319394 21873759192 32810638788 43747518384 65621277576 131242555152