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131431340000 = 255418136307
BaseRepresentation
bin111101001100111101…
…0110001011111100000
3110120020200020211222102
41322121322301133200
54123132410340000
6140213445425532
712331663646162
oct1723172613740
9416220224872
10131431340000
1150815624054
122158010b2a8
13c5175a718c
14650b618932
1536438493d5
hex1e99eb17e0

131431340000 has 120 divisors (see below), whose sum is σ = 325136179368. Its totient is φ = 52280640000.

The previous prime is 131431339979. The next prime is 131431340101. The reversal of 131431340000 is 43134131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3601847 + ... + 3638153.

Almost surely, 2131431340000 is an apocalyptic number.

131431340000 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 131431340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162568089684).

131431340000 is an abundant number, since it is smaller than the sum of its proper divisors (193704839368).

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

131431340000 is an equidigital number, since it uses as much as digits as its factorization.

131431340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36518 (or 36495 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131431340000 its reverse (43134131), we get a palindrome (131474474131).

The spelling of 131431340000 in words is "one hundred thirty-one billion, four hundred thirty-one million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 181 200 250 362 400 500 625 724 800 905 1000 1250 1448 1810 2000 2500 2896 3620 4000 4525 5000 5792 7240 9050 10000 14480 18100 20000 22625 28960 36200 36307 45250 72400 72614 90500 113125 144800 145228 181000 181535 226250 290456 362000 363070 452500 580912 724000 726140 905000 907675 1161824 1452280 1810000 1815350 2904560 3620000 3630700 4538375 5809120 6571567 7261400 9076750 13143134 14522800 18153500 22691875 26286268 29045600 32857835 36307000 45383750 52572536 65715670 72614000 90767500 105145072 131431340 145228000 164289175 181535000 210290144 262862680 328578350 363070000 525725360 657156700 726140000 821445875 1051450720 1314313400 1642891750 2628626800 3285783500 4107229375 5257253600 6571567000 8214458750 13143134000 16428917500 26286268000 32857835000 65715670000 131431340000