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131003232320 = 26531113116867
BaseRepresentation
bin111101000000001100…
…1101011000001000000
3110112010211200201122102
41322000121223001000
54121243311413240
6140103153525532
712315245046632
oct1720031530100
9415124621572
10131003232320
1150615a00454
12214808738a8
13c4799a401c
1464aa818a52
15361ae82815
hex1e8066b040

131003232320 has 112 divisors (see below), whose sum is σ = 324866861568. Its totient is φ = 50261729280.

The previous prime is 131003232317. The next prime is 131003232329. The reversal of 131003232320 is 23232300131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131003232292 and 131003232301.

It is not an unprimeable number, because it can be changed into a prime (131003232329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062527 + ... + 1179393.

Almost surely, 2131003232320 is an apocalyptic number.

131003232320 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 131003232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162433430784).

131003232320 is an abundant number, since it is smaller than the sum of its proper divisors (193863629248).

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

131003232320 is a wasteful number, since it uses less digits than its factorization.

131003232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117028 (or 117018 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 131003232320 its reverse (23232300131), we get a palindrome (154235532451).

The spelling of 131003232320 in words is "one hundred thirty-one billion, three million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 113 124 155 160 226 248 310 320 452 496 565 620 904 992 1130 1240 1808 1984 2260 2480 3503 3616 4520 4960 7006 7232 9040 9920 14012 17515 18080 28024 35030 36160 56048 70060 112096 116867 140120 224192 233734 280240 467468 560480 584335 934936 1120960 1168670 1869872 2337340 3622877 3739744 4674680 7245754 7479488 9349360 13205971 14491508 18114385 18698720 26411942 28983016 36228770 37397440 52823884 57966032 66029855 72457540 105647768 115932064 132059710 144915080 211295536 231864128 264119420 289830160 409385101 422591072 528238840 579660320 818770202 845182144 1056477680 1159320640 1637540404 2046925505 2112955360 3275080808 4093851010 4225910720 6550161616 8187702020 13100323232 16375404040 26200646464 32750808080 65501616160 131003232320